Work

Spectral sets for numerical range

Year: 2017

Type: preprint

Abstract: 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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1701.05586

Authors: Klaja, Hubert, Mashreghi, Javad, Ransford, Thomas

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Canada Research Chairs, Natural Sciences and Engineering Research Council of Canada

OpenAlex ID: W4299813145

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