Linear Operators Preserving Generalized Numerical Ranges and Radii on Certain Triangular Algebras of Matrices

Author:

Cheung Wai-Shun,Li Chi-Kwong

Abstract

AbstractLet c = (c1, … , cn) be such that c1 ≥ … ≥ cn. The c-numerical range of an n × n matrix A is defined byand the c-numerical radius of A is defined by . We determine the structure of those linear operators ϕ on algebras of block triangular matrices, satisfying

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 6 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. Maps Preserving the Numerical Radius Distance Between $$C^*$$ C ∗ -Algebras;Complex Analysis and Operator Theory;2019-02-04

2. c-Numerical radius isometries on matrix algebras and triangular matrix algebras;Linear Algebra and its Applications;2015-02

3. Some linear preserver problems on block triangular matrix algebras;Linear Algebra and its Applications;2003-09

4. Coherence invariant mappings on block triangular matrix spaces;Linear Algebra and its Applications;2002-05

5. Additive preservers of numerical range;Linear Algebra and its Applications;2002-04

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