CLASSES OF OPERATOR-SMOOTH FUNCTIONS. III. STABLE FUNCTIONS AND FUGLEDE IDEALS-Reference-Cited by-同舟云学术

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CLASSES OF OPERATOR-SMOOTH FUNCTIONS. III. STABLE FUNCTIONS AND FUGLEDE IDEALS

Published:2005-02 Issue:1 Volume:48 Page:175-197
ISSN:0013-0915
Container-title:Proceedings of the Edinburgh Mathematical Society
language:en
Short-container-title:Proceedings of the Edinburgh Mathematical Society

Author:

Kissin Edward,Shulman Victor S.

Abstract

AbstractThis paper continue to study the interrelation and hierarchy of the spaces of operator-Lipschitz functions and the spaces of functions closed to them: commutator bounded and operator stable. It also examines various properties of symmetrically normed ideals, introduces new classes of ideals: regular and Fuglede, and investigates them.AMS 2000 Mathematics subject classification: Primary 47A56; 47L20

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 11 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Fuglede commutations modulo Lorentz ideals;Transactions of the American Mathematical Society;2023-10-19

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3. Applications;Multilinear Operator Integrals;2019

4. Bernstein functions of several semigroup generators on Banach spaces under bounded perturbations;Operators and Matrices;2017

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