Back to RS-SR spectral theory

C. Benhida; E. H. Zerouali

Banach Center Publications (2007)

  • Volume: 75, Issue: 1, page 55-66
  • ISSN: 0137-6934

Abstract

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Let X, Y be Banach spaces, S: X → Y and R: Y → X be bounded operators. We investigate common spectral properties of RS and SR. We then apply the result obtained to extensions, Aluthge transforms and upper triangular operator matrices.

How to cite

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C. Benhida, and E. H. Zerouali. "Back to RS-SR spectral theory." Banach Center Publications 75.1 (2007): 55-66. <http://eudml.org/doc/281848>.

@article{C2007,
abstract = {Let X, Y be Banach spaces, S: X → Y and R: Y → X be bounded operators. We investigate common spectral properties of RS and SR. We then apply the result obtained to extensions, Aluthge transforms and upper triangular operator matrices.},
author = {C. Benhida, E. H. Zerouali},
journal = {Banach Center Publications},
keywords = {local spectral theory; linear operators; extensions; Aluthge transform},
language = {eng},
number = {1},
pages = {55-66},
title = {Back to RS-SR spectral theory},
url = {http://eudml.org/doc/281848},
volume = {75},
year = {2007},
}

TY - JOUR
AU - C. Benhida
AU - E. H. Zerouali
TI - Back to RS-SR spectral theory
JO - Banach Center Publications
PY - 2007
VL - 75
IS - 1
SP - 55
EP - 66
AB - Let X, Y be Banach spaces, S: X → Y and R: Y → X be bounded operators. We investigate common spectral properties of RS and SR. We then apply the result obtained to extensions, Aluthge transforms and upper triangular operator matrices.
LA - eng
KW - local spectral theory; linear operators; extensions; Aluthge transform
UR - http://eudml.org/doc/281848
ER -

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