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Ascent and descent for sets of operators

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Ascent and descent for sets of operators. / Kitson, Derek.
In: Studia Mathematica, Vol. 191, No. 2, 2009, p. 151-161.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Kitson, D 2009, 'Ascent and descent for sets of operators', Studia Mathematica, vol. 191, no. 2, pp. 151-161. https://doi.org/10.4064/sm191-2-3

APA

Kitson, D. (2009). Ascent and descent for sets of operators. Studia Mathematica, 191(2), 151-161. https://doi.org/10.4064/sm191-2-3

Vancouver

Kitson D. Ascent and descent for sets of operators. Studia Mathematica. 2009;191(2):151-161. doi: 10.4064/sm191-2-3

Author

Kitson, Derek. / Ascent and descent for sets of operators. In: Studia Mathematica. 2009 ; Vol. 191, No. 2. pp. 151-161.

Bibtex

@article{ba81afa0cf6f467e935dadf7c77bd9b4,
title = "Ascent and descent for sets of operators",
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",
year = "2009",
doi = "10.4064/sm191-2-3",
language = "English",
volume = "191",
pages = "151--161",
journal = "Studia Mathematica",
issn = "0039-3223",
publisher = "Instytut Matematyczny",
number = "2",

}

RIS

TY - JOUR

T1 - Ascent and descent for sets of operators

AU - Kitson, Derek

PY - 2009

Y1 - 2009

N2 - 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.

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.

U2 - 10.4064/sm191-2-3

DO - 10.4064/sm191-2-3

M3 - Journal article

VL - 191

SP - 151

EP - 161

JO - Studia Mathematica

JF - Studia Mathematica

SN - 0039-3223

IS - 2

ER -