The norm spectrum in certain classes of commutative Banach algebras

• Autorzy: H. S. Mustafayev
• Języki publikacji: EN

Abstrakty

EN

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.

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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2011
• Tom: 123
• Numer: 1
• Strony: 95-114

Daty

wydano

2011

Twórcy

autor

H. S. Mustafayev

• Department of Mathematics, Faculty of Sciences, Yuzuncu Yil University, 65080, Van, Turkey

Identyfikatory

DOI

10.4064/cm123-1-7