On the radical for some class of Banach algebras
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, cilt.41, sa.3, ss.241-244, 2007 (SCI-Expanded, Scopus)
- 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.