A SPECTRAL CHARACTERIZATION OF OPERATORS
| Autor: | Vern I. Paulsen, Satish K. Pandey |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Pure mathematics
General Mathematics 010102 general mathematics Banach space Hilbert space 010103 numerical & computational mathematics Characterization (mathematics) 01 natural sciences Hermitian matrix symbols.namesake Intersection Cone (topology) Norm (mathematics) symbols 0101 mathematics Subspace topology Mathematics |
| Zdroj: | Journal of the Australian Mathematical Society. 102:369-391 |
| ISSN: | 1446-8107 1446-7887 |
| Popis: | We establish a spectral characterization theorem for the operators on complex Hilbert spaces of arbitrary dimensions that attain their norm on every closed subspace. The class of these operators is not closed under addition. Nevertheless, we prove that the intersection of these operators with the positive operators forms a proper cone in the real Banach space of hermitian operators. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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