Preservers of local spectrum of matrix skew products
| Autor: | M. Bendaoud |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Algebra and Number Theory
Complex matrix 010102 general mathematics MathematicsofComputing_NUMERICALANALYSIS Skew 010103 numerical & computational mathematics Space (mathematics) 01 natural sciences Combinatorics Matrix (mathematics) Range (mathematics) Local spectrum Binary operation Product (mathematics) ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION 0101 mathematics Mathematics |
| Zdroj: | Linear and Multilinear Algebra. 66:1530-1537 |
| ISSN: | 1563-5139 0308-1087 |
| DOI: | 10.1080/03081087.2017.1363152 |
| Popis: | Let be the space of complex matrices, and for a nonzero vector and , let denote the local spectrum of T at e. Characterizations are obtained for maps on satisfying where the binary operation stands for the skew Jordan semi-triple product or the skew product on matrices, with no additional assumption on the range of the map . |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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