The norm spectrum in certain classes of commutative Banach algebras

H. S. Mustafayev

Colloquium Mathematicae, Tome 122 (2011), p. 95-114 / Harvested from The Polish Digital Mathematics Library

Résumé

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 $σ (f) = \bar{f \cdot a : a \in A} \cap Σ_{A}$ , 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.

Publié le : 2011-01-01

Zbl 1228.46047

EUDML-ID : urn:eudml:doc:283974

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H. S. Mustafayev. The norm spectrum in certain classes of commutative Banach algebras. Colloquium Mathematicae, Tome 122 (2011) pp. 95-114. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm123-1-7/