Regularities in noncommutative Banach algebras

Dosiev A.

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

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 61 Konu: 3
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1007/s00020-008-1593-6
  • Dergi Adı: INTEGRAL EQUATIONS AND OPERATOR THEORY
  • Sayfa Sayıları: ss.341-364

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.