고응일 명예교수
고응일 교수는 수학전공 교수로 연구분야는 함수해석학이다. 미국 인디애나대 대학원에서 박사학위를 받았으며, 1932년 폰 노이만이 제기한 이래로 현재 미해결로 남아 있는 불변부분공간 문제를 포함하여, 작용소의 구조문제, 로컬스펙트럴 이론, 복소대칭작용소 이론 등과 복소함수공간에서의 합성 작용소, 가중합성작용소 및 토에플리츠 작용소 이론, 행렬 이론 등에 대한 연구를 진행하고 있다. 2014년 대한수학회상 학술상을 수상하였고, 현재까지 SCI급 국제학술지에 120편 이상의 논문을 발표하였다.
연구실적
- Remark on square roots of self-adjoint weighted composition operators on H2 Journal of Mathematical Analysis and Applications, 2025, v.543 no.2, 128970
- Expansivity and Contractivity of Toeplitz Operators on Newton Spaces Mediterranean Journal of Mathematics, 2024, v.21 no.2, 57
- H-Toeplitz operators on the function spaces Monatshefte fur Mathematik, 2024, v.205 no.4, 757-786
- Matrix representation of Toeplitz operators on Newton spaces Journal of Inequalities and Applications, 2024, v.2024 no.1, 43
- On C-Normal Operator Matrices Results in Mathematics, 2024, v.79 no.5, 195
- On the generalized Sylvester operator equation AX−Y B = C Linear and Multilinear Algebra, 2024, v.72 no.4, 585-596
- THE OPERATOR EQUATION AXB = X AND THE FUGLEDE-PUTNAM TYPE PROPERTY OPERATORS AND MATRICES, 2024, v.18 no.2, 427-440
- Characterizations of a Complex Symmetric Truncated Backward Shift Type Operator Matrix and its Transforms Results in Mathematics, 2023, v.78 no.1, 13
- Hankel and Toeplitz operators, block matrices and derivations Filomat, 2023, v.37 no.10, 3091-3104
- Hyponormal Toeplitz Operators with Non-harmonic Symbols on the Generalized Derivative Hardy Space Mediterranean Journal of Mathematics, 2023, v.20 no.1, 3
- On properties of C-normal operators II Annals of Functional Analysis, 2023, v.14 no.2, 29
- Properties of Newton polynomials and Toeplitz operators on Newton spaces Annals of Functional Analysis, 2023, v.14 no.3, 55
- Remark on the dilation of truncated Toeplitz operators FILOMAT, 2023, v.37 no.26, 8765-8776
- Remarks on n-power quasinormal operators Filomat, 2023, v.37 no.11, 3371-3381
- Characterizations of Square Roots of Unitary Weighted Composition Operators on H-2 COMPLEX ANALYSIS AND OPERATOR THEORY, 2022, v.16 no.1, 14
- Complex symmetric Toeplitz operators on the generalized derivative Hardy space Journal of Inequalities and Applications, 2022, v.2022 no.1, 74
- Complex symmetric Toeplitz operators on the weighted Bergman space Complex Variables and Elliptic Equations, 2022, v.67 no.6, 1393-1408
- Conjugations and complex symmetric block Toeplitz operators on the weighted Hardy space Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, 2022, v.116 no.1, 18
- ON BACKWARD ALUTHGE ITERATES OF COMPLEX SYMMETRIC OPERATORS MATHEMATICAL INEQUALITIES & APPLICATIONS, 2022, v.25 no.2, 379-395
- On Hyponormality of the Sum of Two Composition Operators FILOMAT, 2022, v.36 no.11, 3561-3572
- Remarks on Composition Operators on the Newton Space MEDITERRANEAN JOURNAL OF MATHEMATICS, 2022, v.19 no.5, 205
- Conjugations and Complex Symmetric Toeplitz Operators on the Weighted Hardy Space Mediterranean Journal of Mathematics, 2021, v.18 no.4, 125
- ON AMPLIATION QUASIAFFINE TRANSFORMS OF OPERATORS BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2021, v.58 no.3, 699-710
- ON QUASINORMALITY OF SINGULAR INTEGRAL OPERATORS WITH CAUCHY KERNEL ON L-2 JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2021, v.33 no.1, 77-89
- On Extended Commuting Operators FILOMAT, 2021, v.35 no.3, 883-893
- On local spectral properties of operator matrices JOURNAL OF INEQUALITIES AND APPLICATIONS, 2021, v.2021 no.1, 164
- On properties of C-normal operators BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2021, v.15 no.4, 65
- Crystal complex symmetric operators BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2020, v.14 no.4, 1711-1727
- ON OPERATORS T COMMUTING WITH CTC WHERE C IS A CONJUGATION BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2020, v.57 no.1, 69-79
- ON THE ITERATED MEAN TRANSFORMS OF OPERATORS MATHEMATICAL INEQUALITIES & APPLICATIONS, 2020, v.23 no.2, 597-610
- On the generalized mean transforms of complex symmetric operators BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2020, v.14 no.3, 842-855
- Operator Matrices and Their Weyl Type Theorems FILOMAT, 2020 , 3191-3204
- PROPERTIES OF OPERATOR MATRICES JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2020, v.57 no.4, 893-913
- Remarks on Hyponormal Toeplitz Operators on the Weighted Bergman Spaces Complex Analysis and Operator Theory, 2020, v.14 no.8, 83
- n-FOLD JORDAN PRODUCT COMMUTING MAPS WITH A lambda-ALUTHGE TRANSFORM OPERATORS AND MATRICES, 2020, v.14 no.2, 305-316
- Binormal Toeplitz operators on the Hardy space INTERNATIONAL JOURNAL OF MATHEMATICS, 2019, v.30 no.1, 1950001
- Generalizations of the relation of quasisimilarity for operators Acta Scientiarum Mathematicarum, 2019, v.85 no.3-4, 681-691
- Hyperinvariant subspaces for a class of quasinilpotent operators STUDIA MATHEMATICA, 2019, v.245 no.3, 289-296
- Hyperinvariant subspaces for some 2 × 2 operator matrices, II Kyungpook Mathematical Journal, 2019, v.59 no.2, 225-231
- Hyponormality of Toeplitz operators on the Fock spaces COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2019, v.64 no.11, 1825-1843
- Hyponormality of singular Cauchy integral operators with matrix-valued symbols HOKKAIDO MATHEMATICAL JOURNAL, 2019, v.48 no.2, 443-459
- Local Spectral Property of 2 x 2 Operator Matrices FILOMAT, 2019, v.33 no.7, 1845-1854
- Multiplication and Toeplitz Operators on the Generalized Derivative Hardy Space COMPLEX ANALYSIS AND OPERATOR THEORY, 2019, v.13 no.8, 4143-4164
- On Power Similarity of Complex Symmetric Operators FILOMAT, 2019, v.33 no.11, 3577-3586
- On the Dilation of Truncated Toeplitz Operators II Complex Analysis and Operator Theory, 2019, v.13 no.8, 3549-3568
- Remark on complex symmetric operator matrices LINEAR & MULTILINEAR ALGEBRA, 2019, v.67 no.6, 1198-1216
- Skew m-Complex Symmetric Operators FILOMAT, 2019, v.33 no.10, 2975-2983
- m-Isometric block Toeplitz operators Journal of Inequalities and Applications, 2019, v.2019 no.1, 185
- ALMOST INVARIANT HALF-SPACES FOR OPERATORS ON HILBERT SPACE BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2018, v.97 no.1, 133-140
- ON m-ISOMETRIC TOEPLITZ OPERATORS BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2018, v.55 no.2, 367-378
- On Symmetric and Skew-Symmetric Operators FILOMAT, 2018, v.32 no.1, 293-303
- On operators with similar positive parts Journal of Mathematical Analysis and Applications, 2018, v.463 no.1, 276-293
- On properties of the operator equation TT* = T plus T* FILOMAT, 2018, v.32 no.6, 2247-2256
- REMARKS ON NEARLY EQUIVALENT OPERATORS OPERATORS AND MATRICES, 2018, v.12 no.2, 537-547
- (∞,C)-isometric operators Operators and Matrices, 2017, v.11 no.3, 793-806
- A characterization of binormal matrices Linear and Multilinear Algebra, 2017 , 1-14
- LOCAL SPECTRAL PROPERTY OF RELATIVELY REGULAR OPERATORS MATHEMATICAL INEQUALITIES & APPLICATIONS, 2017, v.20 no.1, 123-137
- ON OPERATORS SATISFYING THE GENERALIZED CAUCHY-SCHWARZ INEQUALITY PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, v.145 no.8, 3447-3453
- ON ∞-COMPLEX SYMMETRIC OPERATORS Glasgow Mathematical Journal, 2017 , 1-16
- On Analytic Roots of Hyponormal Operators Mediterranean Journal of Mathematics, 2017, v.14 no.5
- Properties of m-complex symmetric operators Studia Universitatis Babes-Bolyai Mathematica, 2017, v.62 no.2, 233-248
- Weyl Type Theorems for Complex Symmetric Operator Matrices FILOMAT, 2017, v.31 no.9, 2891-2900
- Note on some operator equations and local spectral properties Operators and Matrices, 2016, v.10 no.2, 397-417
- On (m, C)-Isometric Operators Complex Analysis and Operator Theory, 2016, v.10 no.8, 1-16
- On -Complex Symmetric Operators II MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, v.13 no.5, 3255-3264
- Spectra of some weighted composition operators on H2 Acta Scientiarum Mathematicarum, 2016, v.82 no.42371.0, 221-234
- Characterizations of binormal composition operators with linear fractional symbols on H2 Applied Mathematics and Computation, 2015, v.261, 252-263
- Class A composition operators on H2 Journal of Mathematical Analysis and Applications, 2015, v.435 no.1
- Iterated Aluthge transforms of composition operators on H2 International Journal of Mathematics, 2015, v.26 no.10
- Normal truncated Toeplitz operators on finite-dimensional spaces Linear and Multilinear Algebra, 2015, v.63 no.10, 1947-1971
- On Fuglede–Putnam properties Positivity, 2015
- On Tu-Toeplitzness of weighted composition operators on H2 Complex Variables and Elliptic Equations, 2015, v.60 no.11, 1522-1538
- On backward Aluthge iterates of hyponormal operators Mathematical Inequalities and Applications, 2015, v.18 no.3, 1121-1133
- On complex symmetric Toeplitz operators Journal of Mathematical Analysis and Applications, 2015, v.434 no.1
- On m-Complex Symmetric Operators Mediterranean Journal of Mathematics, 2015, v.13 no.4
- On operators which are power similar to hyponormal operators Osaka Journal of Mathematics, 2015, v.52 no.3, 833-847
- On rank one perturbations of complex symmetric operators Filomat, 2015, v.29 no.8, 1795-1809
- On the Dilation of Truncated Toeplitz Operators Complex Analysis and Operator Theory, 2015, v.10 no.4
- Paranormal operators and some operator equations Filomat, 2015, v.29 no.6, 1195-1207
- Remarks on Complex Symmetric Operators Mediterranean Journal of Mathematics, 2015
- Skew complex symmetric operators and Weyl type theorems Bulletin of the Korean Mathematical Society, 2015, v.52 no.4, 1269-1283
- Subscalarity of operator transforms Mathematische Nachrichten, 2015, v.288 no.17-18
- Commutators of weighted composition operators INTERNATIONAL JOURNAL OF MATHEMATICS, 2014, v.25 no.6
- Complex symmetric weighted composition operators on H-2(D) JOURNAL OF FUNCTIONAL ANALYSIS, 2014, v.267 no.2, 323-351
- Composition operators for which and commute Complex Variables and Elliptic Equations, 2014, v.59 no.12, 1608-1625
- Erratum to Self-commutators of invertible weighted composition operators on H2 Complex Variables and Elliptic Equations, 2014, v.59 no.5, 750
- Operator equations and subscalarity Studia Mathematica, 2014, v.225 no.2, 97-113
- PROPERTIES OF COMPLEX SYMMETRIC OPERATORS OPERATORS AND MATRICES, 2014, v.8 no.4, 957-974
- Self-commutators of invertible weighted composition operators on H-2 COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2014, v.59 no.5, 693-705
- Transitivity and structure of operator algebras with a metric property INDAGATIONES MATHEMATICAE-NEW SERIES, 2014, v.25 no.1, 1-23
- WEAK FORMS OF SUPERCYCLITY AND A CLASS OF PARANORMAL OPERATORS MATHEMATICAL INEQUALITIES & APPLICATIONS, 2014, v.17 no.3, 831-842
- [학술지논문] Characterizations of a Complex Symmetric Truncated Backward Shift Type Operator Matrix and its Transforms RESULTS IN MATHEMATICS, 2023, v.78 no.1 , 1-18
- [학술지논문] Hankel and Toeplitz operators, block matrices and derivations FILOMAT, 2023, v.37 no.10 , 3091-3104
- [학술지논문] Hyponormal Toeplitz Operators with Non-harmonic Symbols on the Generalized Derivative Hardy Space MEDITERRANEAN JOURNAL OF MATHEMATICS, 2023, v.20 no.1 , 1-16
- [학술지논문] On properties of C-normal operators II ANNALS OF FUNCTIONAL ANALYSIS, 2023, v.14 no.2 , 1-12
- [학술지논문] Remarks on n-power quasinormal operators Filomat, 2023, v.37 no.11 , 3371-3381
- [학술지논문] (m, C)-Isometric Toeplitz operators with rational symbols LINEAR & MULTILINEAR ALGEBRA, 2022, v.70 no.19 , 4360-4376
- [학술지논문] Characterizations of Square Roots of Unitary Weighted Composition Operators on H-2 COMPLEX ANALYSIS AND OPERATOR THEORY, 2022, v.16 no.1 , 14-14
- [학술지논문] Complex symmetric Toeplitz operators on the generalized derivative Hardy space JOURNAL OF INEQUALITIES AND APPLICATIONS, 2022, v.2022 no.74 , 74-74
- [학술지논문] Complex symmetric Toeplitz operators on the weighted Bergman space COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2022, v.67 no.6 , 1393-1408
- [학술지논문] Conjugations and complex symmetric block Toeplitz operators on the weighted Hardy space REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2022, v.116 no.1 , 18-18
- [학술지논문] ON BACKWARD ALUTHGE ITERATES OF COMPLEX SYMMETRIC OPERATORS MATHEMATICAL INEQUALITIES & APPLICATIONS, 2022, v.25 no.2 , 379-395
- [학술지논문] ON QUASINORMALITY OF THE DILATION OF TRUNCATED TOEPLITZ OPERATORS MATHEMATICAL INEQUALITIES & APPLICATIONS, 2022, v.25 no.3 , 679-690
- [학술지논문] On Hyponormality of the Sum of Two Composition Operators FILOMAT, 2022, v.36 no.11 , 3561-3572
- [학술지논문] On solutions of operator equations satisfying the similarity of real and positive parts LINEAR & MULTILINEAR ALGEBRA, 2022, v.70 no.17 , 3271-3286
- [학술지논문] Remarks on Composition Operators on the Newton Space MEDITERRANEAN JOURNAL OF MATHEMATICS, 2022, v.19 no.5 , 205-205
- [학술지논문] Remarks on complex symmetric Toeplitz operators LINEAR & MULTILINEAR ALGEBRA, 2022, v.70 no.18 , 3466-3476
- [학술지논문] Conjugations and Complex Symmetric Toeplitz Operators on the Weighted Hardy Space MEDITERRANEAN JOURNAL OF MATHEMATICS, 2021, v.18 no.4 , 125-125
- [학술지논문] Hyponormality of the dilation of truncated Toeplitz operators COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2021, v.66 no.10 , 1664-1675
- [학술지논문] ON AMPLIATION QUASIAFFINE TRANSFORMS OF OPERATORS BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2021, v.58 no.3 , 699-710
- [학술지논문] ON QUASINORMALITY OF SINGULAR INTEGRAL OPERATORS WITH CAUCHY KERNEL ON L-2 JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2021, v.33 no.1 , 77-89
- [학술지논문] On Extended Commuting Operators FILOMAT, 2021, v.35 no.3 , 883-893
- [학술지논문] On local spectral properties of operator matrices JOURNAL OF INEQUALITIES AND APPLICATIONS, 2021, v.2021 no.1 , 164-164
- [학술지논문] On properties of C-normal operators BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2021, v.15 no.4 , 65-65
- [학술지논문] Operators commuting with self-adjoint weighted composition operators on H-2 COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2021, v.66 no.12 , 2076-2089
- [학술지논문] Crystal complex symmetric operators BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2020, v.14 no.4 , 1711-1727
- [학술지논문] ON OPERATORS T COMMUTING WITH CTC WHERE C IS A CONJUGATION BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2020, v.57 no.1 , 69-79
- [학술지논문] ON THE ITERATED MEAN TRANSFORMS OF OPERATORS MATHEMATICAL INEQUALITIES & APPLICATIONS, 2020, v.23 no.2 , 597-610
- [학술지논문] On the generalized mean transforms of complex symmetric operators BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2020, v.14 no.3 , 842-855
- [학술지논문] Operator Matrices and Their Weyl Type Theorems FILOMAT, 2020, v.34 no.10 , 3191-3204
- [학술지논문] PROPERTIES OF OPERATOR MATRICES JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2020, v.57 no.4 , 893-913
- [학술지논문] Remarks on Hyponormal Toeplitz Operators on the Weighted Bergman Spaces COMPLEX ANALYSIS AND OPERATOR THEORY, 2020, v.14 no.8 , 83-102
- [학술지논문] n-FOLD JORDAN PRODUCT COMMUTING MAPS WITH A lambda-ALUTHGE TRANSFORM OPERATORS AND MATRICES, 2020, v.14 no.2 , 305-316
- [학술발표] Remark on polynomial similarity of operators 2022년도 대한수학회 봄 연구 발표회, 대한민국, 2022-04-28 봄 연구발표회 초록집, 2022
- [학술발표] Topic on generalized Sylvester operator equation AX-YB=C 2022년도 대한수학회 봄 연구 발표회, 대한민국, 2022-04-28 봄 연구발표회 초록집, 2022
- [학술발표] On properties of C-normal operators 2021년도 대한수학회 가을 연구 발표회, 대한민국, 2021-10-21 가을연구발표회 초록집, 2021
- [학술발표] On rank one perturbations of normal operators and their local spectral properties 2021년도 대한수학회 가을 연구 발표회, 대한민국, 2021-10-21 가을연구발표회 초록집, 2021
- [학술발표] Hyponormal Toeplitz operators on the Newton spaces 대한수학회 가을 연구 발표회, 대한민국, 2020-10-23 대한수학회 가을 연구 발표회, 2020
- [학술발표] On backward Aluthge iterates of complex symmetric operators 대한수학회 가을 연구 발표회, 대한민국, 2020-10-23 대한수학회 가을 연구 발표회, 2020
- [학술발표] Properties of multiplication and Toeplitz operators on the generalized derivative Hardy space 대한수학회 봄 연구 발표회, 대한민국, 2020-07-03 대한수학회 봄 연구 발표회, 2020
- [학술발표] Quasinormality of singular integral operators 대한수학회 가을 연구 발표회, 대한민국, 2020-10-23 대한수학회 가을 연구 발표회, 2020
- [학술발표] Remarks on hyponormal Toeplitz operators on the weighted bergman spaces 대한수학회 봄 연구 발표회, 대한민국, 2020-07-03 대한수학회 봄 연구 발표회, 2020
- [학술발표] Remarks on n-power quasinormal operator 대한수학회 봄 연구 발표회, 대한민국, 2020-07-03 대한수학회 봄 연구발표회, 2020
- [학술발표] Square roots of unitary weighted composition operators on H^2 대한수학회 가을 연구 발표회, 대한민국, 2020-10-23 대한수학회 가을 연구 발표회, 2020
- [학술발표] properties of operators with similar both real and positive parts 대한수학회 봄 연구 발표회, 대한민국, 2020-07-03 대한수학회 봄 연구 발표회, 2020
강의
-
2023-1학기
-
미분적분학 강의 계획서 상세보기
- 학수번호 20406분반 01
- 1학년 ( 3학점 , 3시간) 월 3~3 (포452) , 수 2~2 (포452)
- 자연대1,호크마1,월8교시 연습시간(01~08분반 연습시간 동일)
-
복소해석학I 강의 계획서 상세보기
- 학수번호 35291분반 01
- 3학년 ( 3학점 , 3시간) 월 5~5 (포361) , 수 4~4 (포361)
-
-
2022-2학기
-
미분적분학
- 학수번호 20406분반 01
- 1학년 ( 3학점 , 3시간) 월 3~3 (포363) , 수 2~2 (포363)
- 자연대1, 미분적분학(01~04분반) 연습시간 통합적으로 진행, 연습시간 화8교시
-
복소해석학II
- 학수번호 35292분반 01
- 3학년 ( 3학점 , 3시간) 월 5~5 (포452) , 수 4~4 (포452)
-