We introduce the class of operators on Banach spaces having property (H) and study Weyl's
theorems, and related results for operators which satisfy this property. We show that a-Weyl's …

Abstract top In this paper we investigate the relation of Weyl's theorem, of a-Weyl's theorem
and the single valued extension property. In particular, we establish necessary and sufficient …

Weyl’s theorem, tensor products and multiplication operators Page 1 J. Math. Anal. Appl. 336
(2007) 1124–1131 www.elsevier.com/locate/jmaa Weyl’s theorem, tensor products and …

Abstract Recently (see [2]), we introduced the notion of decomposability for arbitrary (not
necessarily finite) systems of commuting bounded linear operators on a Banach space and …

We introduce algebras which are inductive limits of Banach spaces and carry inequalities
which are counterparts of the inequality for the norm in a Banach algebra, and show that the …

In this paper, we give a short and simple proof to a more general version of a recent result of
Yeadon for semigroups of weak $^{\ast} $-continuous operators on a dual Banach space …

1. Introduction. The theory of amenable Banach algebras was first intro-duced by B. Johnson
[20]. We recall that a Banach algebra A is amenable if for every Banach A-bimodule V, every …

We show that for a locally compact group $ G $, every completely bounded local derivation
from the Fourier algebra $ A (G) $ into a symmetric operator $ A (G) $-module or the …

Let G be a locally compact group. We introduce the notion of operator weak amenability for a
completely contractive Banach algebra. We then study the potential operator weak …

We introduce the class of Beurling–Fourier algebras on locally compact groups and show
that they are non-commutative analogs of classical Beurling algebras. We obtain various …