RANKS OF FRINGE OPERATORS ON FINITE RUDIN TYPE INVARIANT SUBSPACES, II
Kou Hei Izuchi; Shuaibing Luo
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, Oct. 2025, 55(5):1331 - 1340, Refereed

数学的な考え方が結びつく授業づくり －統合的・発展的に考える学びの実現に向けて－
田中 詩織; 足立 直之; 泉池 耕平
山口大学教育学部附属教育実践総合センター研究紀要, Mar. 2025, 59:81 - 90

Cyclic vectors in Fock-type spaces in multi-variable case
Hansong Huang; Kou Hei Izuchi
Annals of Functional Analysis, Feb. 2024, 15(2), Refereed

Ranks of fringe operators on finite Rudin type invariant subspaces
Kou Hei Izuchi; Shuaibing Luo
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, Apr. 2023, 520(2), Refereed

SEQUENCES OF POWERS OF TOEPLITZ OPERATORS ON THE BERGMAN SPACE
Yong Chen; Kei Ji Izuchi; Kou Hei Izuchi; Young Joo Lee
ACTA MATHEMATICA SCIENTIA, May 2021, 41(3):657 - 669, Refereed

算数・数学教育における定義に関する注意点 : 数のひろがりに関連して
泉池 耕平; 笠井 伸一; 石原 海; 飯寄 信保
山口大学教育学部研究論叢 = Bulletin of the Faculty of Education, Yamaguchi University, Jan. 2020, 69:137 - 142

KERNELS OF HANKEL OPERATORS ON THE HARDY SPACE OVER THE BIDISK
Kei Ji Izuchi; Kou Hei Izuchi; Yuko Izuchi
BANACH JOURNAL OF MATHEMATICAL ANALYSIS, Jul. 2019, 13(3):612 - 626, Refereed

算数・数学教育における集合の観点の重要性
石原 海; 泉池 耕平; 飯寄 信保
山口大学教育学部研究論叢 = Bulletin of the Faculty of Education, Yamaguchi University, Jan. 2019, 68:119 - 125

Ranks of Cross-Commutators and Unitary Module Maps
Kei Ji Izuchi; Kou Hei Izuchi; Yuko Izuchi
COMPUTATIONAL METHODS AND FUNCTION THEORY, Sep. 2018, 18(3):545 - 566, Refereed

WEIGHTED COMPOSITION OPERATORS WHOSE RANGES CONTAIN THE DISK ALGEBRA II
Kei Ji Izuchi; Kou Hei Izuchi; Yuko Izuchi
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 31 Mar. 2018, 55(2):507 - 514, Refereed

Fredholmness of fringe operators over the bidisk
Kei Ji Izuchi; Kou Hei Izuchi; Yuko Izuchi
ARCHIV DER MATHEMATIK, Sep. 2017, 109(3):255 - 262, Refereed

Adjoint of the Toeplitz operator with the singular inner function
Kei Ji Izuchi; Kou Hei Izuchi; Yuko Izuchi
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, Aug. 2017, 452(2):906 - 911, Refereed

SPLITTING INVARIANT SUBSPACES IN THE HARDY SPACE OVER THE BIDISK
Kei Ji Izuchi; Kou Hei Izuchi; Yuko Izuchi
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, Apr. 2017, 102(2):205 - 223, Refereed

Rank of Finite Rudin Type Backward Shift Invariant Subspaces Over the Bidisk
Kei Ji Izuchi; Kou Hei Izuchi; Yuko Izuchi
COMPLEX ANALYSIS AND OPERATOR THEORY, Mar. 2017, 11(3):675 - 705, Refereed

One dimensional perturbation of invariant subspaces in the Hardy space over the bidisk I
Nihonkai Math. J., 2017, 28:31 - 41, Refereed

Fredholm indices of some fringe operators over the bidisk
Kei Ji Izuchi; Kou Hei Izuchi; Yuko Izuchi
ACTA SCIENTIARUM MATHEMATICARUM, 2017, 83(3-4):441 - 455, Refereed

Cyclic vectors in Fock-type spaces of single variable
Hansong Huang; Kou Hei Izuchi
Nihonkai Mathematical Journal, 2017, 28(2):117 - 124, Refereed

Cyclicity of reproducing kernels in weighted Hardy spaces over the bidisk
Kou Hei Izuchi
JOURNAL OF FUNCTIONAL ANALYSIS, Jan. 2017, 272(2):546 - 558, Refereed

ZERO BASED INVARIANT SUBSPACES AND FRINGE OPERATORS OVER THE BIDISK
Kei Ji Izuchi; Kou Hei Izuchi; Yuko Izuchi
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, Jul. 2016, 53(4):847 - 868, Refereed

Invariant subspaces having two side frames over the bidisk
Kei Ji Izuchi; Kou Hei Izuchi; Yuko Izuchi
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, Apr. 2016, 436(2):1102 - 1120, Refereed

Weighted composition operators whose ranges contain the disk algebra
Kei Ji Izuchi; Kou Hei Izuchi; Yuko Izuchi
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, Jul. 2015, 60(7):938 - 944, Refereed

INNER FUNCTIONS AND WEIGHTED COMPOSITION OPERATORS ON THE HARDY-HILBERT SPACE WITH THE UNBOUNDED WEIGHTS
Kei Ji Izuchi; Kou Hei Izuchi; Yuko Izuchi
ANNALS OF FUNCTIONAL ANALYSIS, 2015, 6(2):104 - 115, Refereed

Ranks of backward shift invariant subspaces of the Hardy space over the bidisk
Kei Ji Izuchi; Kou Hei Izuchi; Yuko Izuchi
MATHEMATISCHE ZEITSCHRIFT, Aug. 2013, 274(3-4):885 - 903, Refereed

Mixed invariant subspaces over the bidisk II
Kou Hei Izuchi; Kei Ji Izuchi
Acta Mathematica Vietnamica, Jun. 2013, 38(2):213 - 239, Refereed

INTERPOLATIONS FOR HOLDER'S INEQUALITY
Kei Ji Izuchi; Kou Hei Izuchi; Shuichi Ohno
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, May 2013, 50(3):901 - 914, Refereed

SUMS OF WEIGHTED COMPOSITION OPERATORS ON COP
Kei Ji Izuchi; Kou Hei Izuchi; Yuko Izuchi
GLASGOW MATHEMATICAL JOURNAL, Jan. 2013, 55(1):229 - 239, Refereed

ESSENTIAL NORMS OF LINEAR COMBINATIONS OF COMPOSITION OPERATORS ON h(infinity)
Kei Ji Izuchi; Kou Hei Izuchi
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, Jan. 2013, 50(1):137 - 159, Refereed

Hardy-Carleson Measures and Their Dual Poisson-Szego Transforms
Boo Rim Choe; Kou Hei Izuchi; Hyungwoon Koo
POTENTIAL ANALYSIS, Jan. 2013, 38(1):143 - 168, Refereed

Mutually prime sequences of inner functions and the ranks of subspaces over the bidisk
Kei Ji Izuchi; Kou Hei Izuchi; Yuko Izuchi
ARCHIV DER MATHEMATIK, Jun. 2012, 98(6):535 - 543, Refereed

Wandering subspaces and the Beurling type theorem, III
Kei-Ji Izuchi; Kou-Hei Izuchi; Yuko Izuchi
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, Apr. 2012, 64(2):627 - 658, Refereed

Commutativity in two - variable two-variable Jordan blocks on the Hardy space
Kei Ji Izuchi; Kou Hei Izuchi
ACTA SCIENTIARUM MATHEMATICARUM, 2012, 78(1-2):129 - 136, Refereed

CROSS COMMUTATORS ON BACKWARD SHIFT INVARIANT SUBSPACES OVER THE BIDISK II
Kei Ji Izuchi; Kou Hei Izuchi
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, Jan. 2012, 49(1):139 - 151, Refereed

Mixed Invariant Subspaces over the Bidisk
Kei Ji Izuchi; Kou Hei Izuchi; Masatoshi Naito
COMPLEX ANALYSIS AND OPERATOR THEORY, Dec. 2011, 5(4):1003 - 1030, Refereed

Ranks of invariant subspaces of the Hardy space over the bidisk
Kei Ji Izuchi; Kou Hei Izuchi; Yuko Izuchi
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, Oct. 2011, 659:101 - 139, Refereed

Blaschke products and the rank of backward shift invariant subspaces over the bidisk
Kei Ji Izuchi; Kou Hei Izuchi; Yuko Izuchi
JOURNAL OF FUNCTIONAL ANALYSIS, Sep. 2011, 261(6):1457 - 1468, Refereed

Wandering subspaces and quasi-wandering subspaces in the Bergman space
Kou Hei Izuchi
NEW YORK JOURNAL OF MATHEMATICS, 2011, 17A:301 - 305, Refereed

Wandering subspaces and the Beurling type Theorem I
Kei Ji Izuchi; Kou Hei Izuchi; Yuko Izuchi
ARCHIV DER MATHEMATIK, Nov. 2010, 95(5):439 - 446, Refereed

Linear sums of two composition operators on the Fock space
Boo Rim Choe; Kou Hei Izuchi; Hyungwoon Koo
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, Sep. 2010, 369(1):112 - 119, Refereed

Quasi-wandering Subspaces in the Bergman Space
Kei Ji Izuchi; Kou Hei Izuchi; Yuko Izuchi
INTEGRAL EQUATIONS AND OPERATOR THEORY, Jun. 2010, 67(2):151 - 161, Refereed

RANKS OF CROSS COMMUTATORS ON BACKWARD SHIFT INVARIANT SUBSPACES OVER THE BIDISK
Kei Ji Izuchi; Kou Hei Izuchi
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2010, 40(3):929 - 942, Refereed

Wandering subspaces and the Beurling type theorem. II
Kei Ji Izuchi; Kou Hei Izuchi; Yuko Izuchi
NEW YORK JOURNAL OF MATHEMATICS, 2010, 16:489 - 505, Refereed

Rank-one commutators on invariant subspaces of the Hardy space on the bidisk III
Kou Hei Izuchi
HOKKAIDO MATHEMATICAL JOURNAL, Nov. 2009, 38(4):663 - 681, Refereed

Rank-one cross commutators on backward shift invariant subspaces on the bidisk
Kei Ji Izuchi; Kou Hei Izuchi
ACTA MATHEMATICA SINICA-ENGLISH SERIES, May 2009, 25(5):693 - 714, Refereed

Cyclic vectors in some weighted L-P spaces of entire functions
Kou Hei Izuchi
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, Sep. 2008, 51(3):378 - 385, Refereed

RANK-ONE COMMUTATORS ON INVARIANT SUBSPACES OF THE HARDY SPACE ON THE BIDISK. II
Keiji Izuchi; Kou Hei Izuchi
JOURNAL OF OPERATOR THEORY, 2008, 60(2):239 - 251, Refereed

第12回COE研究員連続講演会 : I) Segal-Bargmann 空間の巡回ベクトルについて II) 2重単位開円板上の逆シフト不変部分空間上のクロス交換子について
泉池 耕平
北海道大学数学講究録, Jun. 2007, (121):1 - 13

Polynomials having leading terms over C2 in the Fock space (Analytic Function Spaces and Their Operators RIMS共同研究報告集)
Izuchi Kei Ji; Izuchi Kou Hei
RIMS Kokyuroku, Oct. 2006, (1519):77 - 93

Cyclic Vectors in Fock-Type Spaces (Analytic Function Spaces and Their Operators RIMS共同研究報告集)
Izuchi Kou Hei
RIMS Kokyuroku, Oct. 2006, (1519):94 - 97

Rank-one commutators on invariant subspaces of the Hardy space on the bidisk
Keiji Izuchi; Kou Hei Izuchi
Journal of Mathematical Analysis and Applications, 01 Apr. 2006, 316(1):1 - 8, Refereed

Cross commutators on backward shift invariant subspaces over the bidisk
Kei Ji Izuchi; Kou Hei Izuchi
ACTA SCIENTIARUM MATHEMATICARUM, 2006, 72(1-2):251 - 270, Refereed

Cyclic vectors in the Fock space over the complex plane
Kou Hei Izuchi
Proceedings of the American Mathematical Society, Dec. 2005, 133(12):3627 - 3630, Refereed

Polynomials having leading terms over ℂ² in th Fock space
Keiji Izuchi; Kou Hei Izuchi
Journal of Functional Analysis, 15 Aug. 2005, 225(2):439 - 479, Refereed

Rank-one commutators on invariant subspaces of the Hardy space on the bidisk
Keiji Izuchi; Kou Hei Izuchi
Journal of Mathematical Analysis and Applications, Apr. 2006, 316(1):1 - 8

2変数ハーディ空間の不変部分空間
泉池 耕平
第61回実函数論・函数解析学合同シンポジウム, 30 Aug. 2022

Measure zero Rudin type invariant subspaces and ranks of fringe operators
Kou Hei Izuchi
Spring Central and Western Joint Sectional Meeting, 24 Mar. 2019

Thesis Research
YAMAGUCHI UNIVERSITY

Mathematics for Elementary Education
YAMAGUCHI UNIVERSITY

Introductory Seminar
YAMAGUCHI UNIVERSITY

Studies in Analysis I
YAMAGUCHI UNIVERSITY

Calculus II
YAMAGUCHI UNIVERSITY

Calculus I
YAMAGUCHI UNIVERSITY

Analysis II
YAMAGUCHI UNIVERSITY

Analysis I
YAMAGUCHI UNIVERSITY

Studies in Analysis II
YAMAGUCHI UNIVERSITY

Seminar on Analysis
YAMAGUCHI UNIVERSITY

Linear Algebra II
YAMAGUCHI UNIVERSITY

Linear Algebra I
YAMAGUCHI UNIVERSITY

Algebra II
YAMAGUCHI UNIVERSITY

Algebra I
YAMAGUCHI UNIVERSITY

Mathematics II
YAMAGUCHI UNIVERSITY

Probability and Statistics
YAMAGUCHI UNIVERSITY

Analysis III
YAMAGUCHI UNIVERSITY

数学教育特論（解析学）
山口大学

課題研究
山口大学

初等科数学
山口大学

基礎セミナー
山口大学

解析学特論Ⅰ
山口大学

微分積分学Ⅱ
山口大学

微分積分学Ⅰ
山口大学

解析学Ⅱ
山口大学

解析学Ⅰ
山口大学

解析学特論演習
山口大学

線形代数学Ⅱ
山口大学

線形代数学Ⅰ
山口大学

代数学Ⅱ
山口大学

代数学Ⅰ
山口大学

数学Ⅱ
山口大学

解析学特論Ⅱ
山口大学

確率・統計学
山口大学

解析学Ⅲ
山口大学

２変数ハーディー空間におけるランク１の不変部分空間の構造について
日本学術振興会, 科学研究費助成事業, 基盤研究(C)
福岡大学
01 Apr. 2026 - 31 Mar. 2030

正則ヒルベルト空間の巡回ベクトルの研究
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C)
Yamaguchi University
01 Apr. 2018 - 31 Mar. 2021

有界解析関数の研究とその解析関数空間上の作用素論への応用
日本学術振興会, 科学研究費助成事業 基盤研究(C), 基盤研究(C)
新潟大学
2015 - 2018

解析関数空間上の作用素と有界解析関数の総合的研究
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C)
Niigata University
01 Apr. 2012 - 31 Mar. 2015

解析関数空間上の作用素の特性を決定する有界解析関数の研究
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C)
Niigata University
2009 - 2011

解析関数空間の不変部分空間の構造及び性質について
日本学術振興会, 科学研究費助成事業 若手研究(B), 若手研究(B)
北海道大学
2008 - 2010