On the topological boundary of the one-sided spectrum

Vladimír Müller

Displaying similar documents to “On the topological boundary of the one-sided spectrum”

On the defect spectrum of an extension of a Banach space operator

Vladimír Kordula (1998)

Czechoslovak Mathematical Journal

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Let $T$ be an operator acting on a Banach space $X$ . We show that between extensions of $T$ to some Banach space $Y \supset X$ which do not increase the defect spectrum (or the spectrum) it is possible to find an extension with the minimal possible defect spectrum.

The splitting spectrum differs from the Taylor spectrum

V. Müller (1997)

Studia Mathematica

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We construct a pair of commuting Banach space operators for which the splitting spectrum is different from the Taylor spectrum.

On joint spectra of operators on a Banach space isomorphic to its square

Andrzej Sołtysiak (1989)

Colloquium Mathematicae

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On the axiomatic theory of spectrum

V. Kordula, V. Müller (1996)

Studia Mathematica

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There are a number of spectra studied in the literature which do not fit into the axiomatic theory of Żelazko. This paper is an attempt to give an axiomatic theory for these spectra, which, apart from the usual types of spectra, like one-sided, approximate point or essential spectra, include also the local spectra, the Browder spectrum and various versions of the Apostol spectrum (studied under various names, e.g. regular, semiregular or essentially semiregular).

On joint spectra of commuting families of operators

W. Żelazko, Z. Słodkowski (1974)

Studia Mathematica

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The boundary of Taylor's joint spectrum for two commuting Banach space operators

Volker Wróbel (1986)

Studia Mathematica

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