The norm spectrum in certain classes of commutative Banach algebras

H. S. Mustafayev. "The norm spectrum in certain classes of commutative Banach algebras." Colloquium Mathematicae 123.1 (2011): 95-114. <http://eudml.org/doc/283974>.

@article{H2011,
abstract = {Let A be a commutative Banach algebra and let $Σ_\{A\}$ be its structure space. The norm spectrum σ(f) of the functional f ∈ A* is defined by $σ(f) = \overline\{f·a: a ∈ A\} ∩ Σ_\{A\}$, where f·a is the functional on A defined by ⟨f·a,b⟩ = ⟨f,ab⟩, b ∈ A. We investigate basic properties of the norm spectrum in certain classes of commutative Banach algebras and present some applications.},
author = {H. S. Mustafayev},
journal = {Colloquium Mathematicae},
keywords = {Banach algebra; spectrum; Ditkin's condition; synthesizable ideal},
language = {eng},
number = {1},
pages = {95-114},
title = {The norm spectrum in certain classes of commutative Banach algebras},
url = {http://eudml.org/doc/283974},
volume = {123},
year = {2011},
}

TY - JOUR
AU - H. S. Mustafayev
TI - The norm spectrum in certain classes of commutative Banach algebras
JO - Colloquium Mathematicae
PY - 2011
VL - 123
IS - 1
SP - 95
EP - 114
AB - Let A be a commutative Banach algebra and let $Σ_{A}$ be its structure space. The norm spectrum σ(f) of the functional f ∈ A* is defined by $σ(f) = \overline{f·a: a ∈ A} ∩ Σ_{A}$, where f·a is the functional on A defined by ⟨f·a,b⟩ = ⟨f,ab⟩, b ∈ A. We investigate basic properties of the norm spectrum in certain classes of commutative Banach algebras and present some applications.
LA - eng
KW - Banach algebra; spectrum; Ditkin's condition; synthesizable ideal
UR - http://eudml.org/doc/283974
ER -