Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
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.
Słowa kluczowe
Kategorie tematyczne
- 43A15: L p -spaces and other function spaces on groups, semigroups, etc.
- 46J20: Ideals, maximal ideals, boundaries
- 43A60: Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions
- 43A25: Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups
- 46J05: General theory of commutative topological algebras
Czasopismo
Rocznik
Tom
Numer
Strony
95-114
Opis fizyczny
Daty
wydano
2011
Twórcy
autor
- Department of Mathematics, Faculty of Sciences, Yuzuncu Yil University, 65080, Van, Turkey
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-cm123-1-7