An approach to joint spectra

Angel Martínez Meléndez; Antoni Wawrzyńczyk

Annales Polonici Mathematici (1999)

  • Volume: 72, Issue: 2, page 131-144
  • ISSN: 0066-2216

Abstract

top
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.

How to cite

top

Martínez Meléndez, Angel, and Wawrzyńczyk, Antoni. "An approach to joint spectra." Annales Polonici Mathematici 72.2 (1999): 131-144. <http://eudml.org/doc/262705>.

@article{MartínezMeléndez1999,
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.},
author = {Martínez Meléndez, Angel, Wawrzyńczyk, Antoni},
journal = {Annales Polonici Mathematici},
keywords = {spectral subspace; joint spectrum; Banach algebra; Banach algebras; spectral subspaces; spectral systems; spectral mapping property},
language = {eng},
number = {2},
pages = {131-144},
title = {An approach to joint spectra},
url = {http://eudml.org/doc/262705},
volume = {72},
year = {1999},
}

TY - JOUR
AU - Martínez Meléndez, Angel
AU - Wawrzyńczyk, Antoni
TI - An approach to joint spectra
JO - Annales Polonici Mathematici
PY - 1999
VL - 72
IS - 2
SP - 131
EP - 144
AB - 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.
LA - eng
KW - spectral subspace; joint spectrum; Banach algebra; Banach algebras; spectral subspaces; spectral systems; spectral mapping property
UR - http://eudml.org/doc/262705
ER -

References

top
  1. [1] C.-K. Fong and A. Sołtysiak, Existence of a multiplicative functional and joint spectra, Studia Math. 81 (1985), 213-220. Zbl0529.46034
  2. [2] R. Harte, Invertibility and Singularity for Bounded Linear Operators, Marcel Dekker, New York, 1988. Zbl0636.47001
  3. [3] V. Kordula and V. Müller, On the axiomatic theory of spectrum, Studia Math. 119 (1996), 109-128. Zbl0857.47001
  4. [4] V. Müller, Spectral systems, unpublished notes, 1997. 
  5. [5] A. Sołtysiak, Approximate point joint spectrum and multiplicative functionals, Studia Math. 86 (1987), 227-286. Zbl0646.46041
  6. [6] A. Sołtysiak, Joint spectra and multiplicative functionals, Colloq. Math. 56 (1989), 357-366. 
  7. [7] A. Sołtysiak, Joint Spectra and Multiplicative Linear Functionals in Non-commutative Banach Algebras, Wyd. Nauk. Uniw. im. A. Mickiewicza, Poznań, 1988. Zbl0675.46018
  8. [8] W. Żelazko, An axiomatic approach to joint spectra I, Studia Math. 64 (1979), 249-261. Zbl0426.47002

NotesEmbed ?

top

You must be logged in to post comments.