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

Volker Wróbel

Displaying similar documents to “The boundary of Taylor's joint spectrum for two commuting Banach space operators”

On joint spectra of commuting families of operators

W. Żelazko, Z. Słodkowski (1974)

Studia Mathematica

Similarity:

On the axiomatic theory of spectrum

V. Kordula, V. Müller (1996)

Studia Mathematica

Similarity:

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 operators on a Banach space isomorphic to its square

Andrzej Sołtysiak (1989)

Colloquium Mathematicae

Similarity:

The Słodkowski spectra and higher Shilov boundaries

Vladimír Müller (1993)

Studia Mathematica

Similarity:

We investigate relations between the spectra defined by Słodkowski [14] and higher Shilov boundaries of the Taylor spectrum. The results generalize the well-known relation between the approximate point spectrum and the usual Shilov boundary.