H. MUSTAFAYEV

9078

A Class of Banach Algebras Whose Duals Have the Schur Property

Call a commutative Banach algebra A a g-algebra if it contains a bounded group G such that \overline{aco(G)} contains a multiple of the unit ball of A. In this paper, first by exhibiting several concrete examples, we show that the class of g-algebras is quite rich. Then, for a g-algebra A, we prove that A\star has the Schur property iff the Gelfand spectrum \sum of A is scattered iff A\star=ap(A) iff A\star=\overline{Span(\sum)}.

Anahtar Kelimeler:

Schur property, Segal algebras, almost periodic functionals.

A Class of Banach Algebras Whose Duals Have the Schur Property

Call a commutative Banach algebra A a g-algebra if it contains a bounded group G such that \overline{aco(G)} contains a multiple of the unit ball of A. In this paper, first by exhibiting several concrete examples, we show that the class of g-algebras is quite rich. Then, for a g-algebra A, we prove that A\star has the Schur property iff the Gelfand spectrum \sum of A is scattered iff A\star=ap(A) iff A\star=\overline{Span(\sum)}.

Keywords:

Schur property, Segal algebras, almost periodic functionals.,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

Sayıdaki Diğer Makaleler

Augmented Noetherian Graded Modules

Masshoor REFAİ

Generalized Solutions of a Class of Linear and Quasi-Linear Degenerated Hyperbolic Equations

Some Theorems Involving Inequalities on p-valent Functions

Hüseyin IRMAK, Ömer Faruk ÇETİN

The isometries of the Bochner space $L^p(mu$,H)

Bahattin CENGİZ

Tyurina Components and Rational Cycles for Rational Singularities

A class of Banach algebras whose duals have the Schur propertry

H. MUSTAFAYEV, A. ÜLGER

Modular Symmetry Classes of Tensors

M. SHAHRYARI, M. A. SHAHABI

Alternative Polynomial and Holomorphic Dunford-Pettis Properties

Walden FREEDMAN

Structure of m-Dimensional Implicitly Defined Surfaces in n-Dimensional Euclidean Space En

Alla Borisovna KOTLYAR

Two Lemmas on Formal Power Series

Kazım İlhan İKEDA, Masatoshi İKEDA