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ArticleOriginal scientific text

Title

An approach to joint spectra

Authors 1, 2

Affiliations

  1. Universidad Autónoma Metropolitana - Azcapotzalco, Departamento de Ciencias Básicas, Av. San Pablo 180, col. Reynosa Tamaulipas, 02 200 México, D.F., México
  2. Universidad Autónoma Metropolitana - Iztapalapa, Av. Michoacán y la Purísima s/n, col. Vicentina AP 55-538, 09 340 México, D.F., México

Abstract

For a given unital Banach algebra A we describe joint spectra which satisfy the one-way spectral mapping property. Each spectrum of this class is uniquely determined by a family of linear subspaces of A called spectral subspaces. We introduce a topology in the space of all spectral subspaces of A and utilize it to the study of the properties of the spectra.

Keywords

ENG
spectral subspace, joint spectrum, Banach algebra

Bibliography

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  3. V. Kordula and V. Müller, On the axiomatic theory of spectrum, Studia Math. 119 (1996), 109-128.
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Annales Polonici Mathematici
1999/72/2
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Pages:
131-144
Main language of publication
English
Received
1998-07-13
Accepted
1998-12-17
Published
1999
Exact and natural sciences