On operators commuting with Toeplitz operators modulo the finite rank operators

Gu CX

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On operators commuting with Toeplitz operators modulo the finite rank operators

机译：在与Toeplitz算子交换的算子上以有限秩算子为模

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Let X be a bounded linear operator on the Hardy space H-2 of the unit disk. We show that if X - T-0* XT0 is of finite rank for every inner function theta, then X = T-phi + F for some Toeplitz operator T-phi and some finite rank operator F on H-2. This solves a variant of an open question where the compactness replaces the finite rank conditions. (C) 2004 Elsevier Inc. All rights reserved.

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《Journal of Functional Analysis》 |2004年第1期|共28页
作者
Gu CX;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Toeplitz operator; Hankel operator; finite rank operator; HANKEL-OPERATORS; COMPACT-OPERATORS; PRODUCTS;

机译：Toeplitz运算符;Hankel运算符;有限秩运算符;HANKEL运算符;COMPACT运算符;产品;

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2. FINITE RANK TRUNCATED TOEPLITZ OPERATORS VIA HANKEL OPERATORS [J] . Ma Pan, Zheng Dechao Proceedings of the American Mathematical Society . 2019,第6期

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3. One-Point Commuting Difference Operators of Rank One and Their Relation with Finite-Gap Schrodinger Operators [J] . Mauleshova G. S., Mironov A. E. Doklady. Mathematics . 2018,第1期

机译：一点通勤差分运算符，以及与有限差距Schrodinger运算符的关系
4. BERGMAN SPACE ON TUBE DOMAINS AND COMMUTING TOEPLITZ OPERATORS [C] . N.L VASILEVSKI ISAAC congress . 2000

机译：在管域上的Bergman空间和通勤toeplitz运算符
5. Products of Toeplitz operators and products of Hankel operators on the unit sphere [D] . Nie, Fusheng 1997

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6. Weighted norm inequalities for Toeplitz type operators associated to generalized Calderón–Zygmund operators [O] . Yongli Tang, Tao Ban -1

机译：与广义Calderón–Zygmund算子相关的Toeplitz型算子的加权范数不等式
7. On operators commuting with Toeplitz operators modulo the finite rank operators [O] . Gu Caixing 2004

机译：在与Toeplitz算子交换的算子上以有限秩算子为模
8. The Factorization and Representation of Operators in the Algebra Generated by Toeplitz Operators [R] . Kailath, T., Levy, B., Ljung, L., 1978

机译：Toeplitz算子生成代数中算子的因式分解与表示

On operators commuting with Toeplitz operators modulo the finite rank operators

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