A Class of Banach Algebras Whose Duals Have the Schur Property

H. MUSTAFAYEV

Makale detayları

A Class of Banach Algebras Whose Duals Have the Schur Property

Yazarlar:

H. MUSTAFAYEV

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 1999 Vol.23 Issue 3, pp.441-452

Belge Tipi:

Makale

Yayın Tarihi:

2/1999

Belge Dili:

Türkçe

Document ID (Org No.):

2000749285

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

Özet:

 

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)}.

 

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)}.

Makale detayları

A Class of Banach Algebras Whose Duals Have the Schur Property

Yazarlar:

H. MUSTAFAYEV

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 1999 Vol.23 Issue 3, pp.441-452

Belge Tipi:

Makale

Yayın Tarihi:

2/1999

Belge Dili:

Türkçe

Document ID (Org No.):

2000749285

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Schur property

Segal algebras

almost periodic functionals.

Sayı

Makale detayları

A Class of Banach Algebras Whose Duals Have the Schur Property

Yazarlar: H. MUSTAFAYEV

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 1999 Vol.23 Issue 3, pp.441-452

Belge Tipi: Makale

Yayın Tarihi: 2/1999

Belge Dili: Türkçe

Document ID (Org No.): 2000749285

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Schur property

Segal algebras

almost periodic functionals.

Sayı

Yazarlar:

H. MUSTAFAYEV

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 1999 Vol.23 Issue 3, pp.441-452

Belge Tipi:

Makale

Yayın Tarihi:

2/1999

Belge Dili:

Türkçe

Document ID (Org No.):

2000749285

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098