Regularities in noncommutative Banach algebras

Dosiev A.

INTEGRAL EQUATIONS AND OPERATOR THEORY, cilt.61, sa.3, ss.341-364, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 61 Sayı: 3
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1007/s00020-008-1593-6
  • Dergi Adı: INTEGRAL EQUATIONS AND OPERATOR THEORY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.341-364
  • Anahtar Kelimeler: regularities, subspectrum, characters, JOINT SPECTRA, SUBALGEBRAS, PROPERTY, FAMILY
  • Orta Doğu Teknik Üniversitesi Adresli: Hayır

Özet

In this paper we introduce regularities and subspectra in a unital noncommutative Banach algebra and prove that there is a correspondence between them similar to the commutative case. This correspondence involves a radical on a class of Banach algebras equipped with a subspectrum. Taylor and Slodkowski spectra for noncommutative tuples of bounded linear operators are the main examples of subspectra in the noncommutative case.