Closed operators affiliated with a Banach algebra of operators
Studia Mathematica (1992)
- Volume: 101, Issue: 3, page 215-240
- ISSN: 0039-3223
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topBarnes, Bruce. "Closed operators affiliated with a Banach algebra of operators." Studia Mathematica 101.3 (1992): 215-240. <http://eudml.org/doc/215902>.
@article{Barnes1992,
abstract = {Let ℬ be a Banach algebra of bounded linear operators on a Banach space X. If S is a closed operator in X such that (λ - S)^\{-1\} ∈ ℬ for some number λ, then S is affiliated with ℬ. The object of this paper is to study the spectral theory and Fredholm theory relative to ℬ of an operator which is affiliated with ℬ. Also, applications are given to semigroups of operators which are contained in ℬ.},
author = {Barnes, Bruce},
journal = {Studia Mathematica},
keywords = {closed operator; spectrum; Fredholm operator; semigroup of operators; Banach algebra; operators affiliated with a Banach algebra of operators; Banach algebra of bounded linear operators on a Banach space; semigroups of operators},
language = {eng},
number = {3},
pages = {215-240},
title = {Closed operators affiliated with a Banach algebra of operators},
url = {http://eudml.org/doc/215902},
volume = {101},
year = {1992},
}
TY - JOUR
AU - Barnes, Bruce
TI - Closed operators affiliated with a Banach algebra of operators
JO - Studia Mathematica
PY - 1992
VL - 101
IS - 3
SP - 215
EP - 240
AB - Let ℬ be a Banach algebra of bounded linear operators on a Banach space X. If S is a closed operator in X such that (λ - S)^{-1} ∈ ℬ for some number λ, then S is affiliated with ℬ. The object of this paper is to study the spectral theory and Fredholm theory relative to ℬ of an operator which is affiliated with ℬ. Also, applications are given to semigroups of operators which are contained in ℬ.
LA - eng
KW - closed operator; spectrum; Fredholm operator; semigroup of operators; Banach algebra; operators affiliated with a Banach algebra of operators; Banach algebra of bounded linear operators on a Banach space; semigroups of operators
UR - http://eudml.org/doc/215902
ER -
References
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