On the Taylor spectrum of left-right multipliers

Abstract

Abstract. The Taylor spectrum of a mixed pair of multiplication operators is determined on an ultraprime Banach algebra.

On Weighted Reverse Order Laws for the Moore–Penrose Inverse andK-Inverses

“…It is not difficult to prove that the same is true when A ⊆ L(X) is a subalgebra of the Banach algebra of all bounded operators defined on the Banach space X which contains the ideal of finite rank operators. In the case of general Banach algebras, prime, ultraprime and spectrally prime algebras were considered in Harte, Hernández (1998).…”