Ascent and descent for sets of operators

Derek Kitson. "Ascent and descent for sets of operators." Studia Mathematica 191.2 (2009): 151-161. <http://eudml.org/doc/284733>.

@article{DerekKitson2009,
abstract = {We extend the notion of ascent and descent for an operator acting on a vector space to sets of operators. If the ascent and descent of a set are both finite then they must be equal and give rise to a canonical decomposition of the space. Algebras of operators, unions of sets and closures of sets are treated. As an application we construct a Browder joint spectrum for commuting tuples of bounded operators which is compact-valued and has the projection property.},
author = {Derek Kitson},
journal = {Studia Mathematica},
keywords = {ascent; descent; Browder tuple; Browder joint spectrum},
language = {eng},
number = {2},
pages = {151-161},
title = {Ascent and descent for sets of operators},
url = {http://eudml.org/doc/284733},
volume = {191},
year = {2009},
}

TY - JOUR
AU - Derek Kitson
TI - Ascent and descent for sets of operators
JO - Studia Mathematica
PY - 2009
VL - 191
IS - 2
SP - 151
EP - 161
AB - We extend the notion of ascent and descent for an operator acting on a vector space to sets of operators. If the ascent and descent of a set are both finite then they must be equal and give rise to a canonical decomposition of the space. Algebras of operators, unions of sets and closures of sets are treated. As an application we construct a Browder joint spectrum for commuting tuples of bounded operators which is compact-valued and has the projection property.
LA - eng
KW - ascent; descent; Browder tuple; Browder joint spectrum
UR - http://eudml.org/doc/284733
ER -