A signi? cant sector of the development of spectral theory outside the classical area of
Hilbert space may be found amongst at multipliers de? ned on a complex commutative …

The main focus of this book is on bounded linear operators on complex infinitedimensional
Banach spaces and their spectral properties. In recent years spectral theory, which has …

In this paper we study properties of complex symmetric operators. In particular, we prove that
every complex symmetric operator having property (β) or (δ) is decomposable. Moreover, we …

In this article Weyl's theorem and a-Weyl's theorem on Banach spaces are related to an
important property which has a leading role in local spectral theory: the single-valued …

A Banach space operator T∈ B (X) is hereditarily polaroid, T∈ HP, if every part of T is
polaroid. HP operators have SVEP. It is proved that if T∈ B (X) has SVEP and R∈ B (X) is a …

Polaroid Operators and Weyl's Theorem Page 1 PROCEEDINGS OF THE AMERICAN
MATHEMATICAL SOCIETY Volume 132, Number 5, Pages 1345-1349 S 0002-9939(03)07381-7 …

A Banach space operator T Є B (χ) is polaroid (left polaroid) if isolated points of the spectrum
(resp. isolated points λ of the approximate point spectrum) of T are poles of the resolvent of T …

Browder/Weyl theorems, in their classical and more recently in their generalized form, have
been considered by a large number of authors. This paper brings forth the important role …

In this paper, we show that the spectral mapping theorem holds for (m, n)*-paranormal
operators. We also exhibit the self-adjointness of the Riesz idempotent E λ of (m, n) …

A bounded operator T∈ L (X) acting on a Banach space X is said to satisfy generalized
Weyl's theorem if the complement in the spectrum of the B-Weyl spectrum is the set of all …