On the radical for some class of Banach algebras

Mustafaev G. S.

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, cilt.41, sa.3, ss.241-244, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 3
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1007/s10688-007-0021-z
  • Dergi Adı: FUNCTIONAL ANALYSIS AND ITS APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.241-244
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

Let A be a complex Banach algebra. It is well known that the second dual A** of A can be equipped with a multiplication that extends the original multiplication on A and makes A** a Banach algebra. We show that Rad(A) (perpendicular to)(A* . A) and Rad(A**) = (A* . A)(perpendicular to) for some classes of Banach algebras A with scattered structure space. Some applications of these results are given.