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ArticleOriginal scientific text

Title

On the axiomatic theory of spectrum

Authors 1, 1

Affiliations

  1. Institute of Mathematics, Academy of Sciences of the Czech Republic, Žitná 25, 115 67 Praha 1, Czech Republic

Abstract

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).

Keywords

ENG
axiomatic theory of spectrum, local spectrum, semiregular operators

Bibliography

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Studia Mathematica
1996/119/2
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Pages:
109-128
Main language of publication
English
Received
1995-04-19
Accepted
1995-11-20
Published
1996
Exact and natural sciences