Spectral sets for numerical range
| Autor: | Javad Mashreghi, Hubert Klaja, Thomas Ransford |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Discrete mathematics
Pure mathematics Algebra and Number Theory 010102 general mathematics Base (topology) 16. Peace & justice Spectral set 01 natural sciences Dilation (operator theory) Functional Analysis (math.FA) Mathematics - Functional Analysis FOS: Mathematics Point (geometry) 0101 mathematics Numerical range Analysis Mathematics |
| Zdroj: | Operators and Matrices. :749-757 |
| ISSN: | 1846-3886 |
| DOI: | 10.7153/oam-11-51 |
| Popis: | We define and study a numerical-range analogue of the notion of spectral set. Among the results obtained are a positivity criterion and a dilation theorem, analogous to those already known for spectral sets. An important difference from the classical definition is the role played in the new definition by the base point. We present some examples to illustrate this aspect. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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