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

  • Wai-Shun Cheung (a1) and Chi-Kwong Li (a2)
Abstract

Let c = (c1, … , cn) be such that c1 ≥ … ≥ cn. The c-numerical range of an n × n matrix A is defined by

and 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

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References
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Canadian Mathematical Bulletin
  • ISSN: 0008-4395
  • EISSN: 1496-4287
  • URL: /core/journals/canadian-mathematical-bulletin
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