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ArticleOriginal scientific text

Title

On the axiomatic theory of spectrum II

Authors 1, 2

Affiliations

  1. Université de Lille I, U.F.R. de Mathématiques, F-59655 Villeneuve d'Ascq Cedex, France
  2. Mathematical Institute, Academy of Sciences of the Czech Republic, Žitná 25, 11567 Praha 1, Czech Republic

Abstract

We give a survey of results concerning various classes of bounded linear operators in a Banach space defined by means of kernels and ranges. We show that many of these classes define a spectrum that satisfies the spectral mapping property.

Keywords

ENG
spectral mapping theorem, ascent, descent, semiregular operators, quasi-Fredholm operators

Bibliography

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Studia Mathematica
1996/119/2
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Pages:
129-147
Main language of publication
English
Received
1995-03-03
Accepted
1995-11-20
Published
1996
Exact and natural sciences