A note on the maximal numerical range

Ilya M. Spitkovsky

doi:10.7153/oam-2019-13-45

A note on the maximal numerical range

Ilya M. Spitkovsky

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We show that the maximal numerical range of an operator has a non-empty intersection with the boundary of its numerical range if and only if the operator is normaloid. A description of this intersection is also given.

Original language	English (US)
Pages (from-to)	601-605
Number of pages	5
Journal	Operators and Matrices
Volume	13
Issue number	3
DOIs	https://doi.org/10.7153/oam-2019-13-45
State	Published - 2019

Keywords

Maximal numerical range
Normaloid operator
Numerical range

ASJC Scopus subject areas

Analysis
Algebra and Number Theory

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10.7153/oam-2019-13-45

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abstract = "We show that the maximal numerical range of an operator has a non-empty intersection with the boundary of its numerical range if and only if the operator is normaloid. A description of this intersection is also given.",

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A note on the maximal numerical range

Abstract

Keywords

ASJC Scopus subject areas

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