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 …

ON THE EQUIVALENCE OF BROWDER'S AND GENERALIZED BROWDER'S THEOREM
Page 1 Glasgow Math. J. 48 (2006) 179–185. C 2006 Glasgow Mathematical Journal Trust …

We study Weyl's and Browder's theorem for an operator T on a Banach space such that T or
its adjoint has the single-valued extension property. We establish the spectral mapping …

Let T be an algebraically paranormal operator acting on Hilbert space. We prove:(i) Weyl's
theorem holds for f (T) for every f ∈ H (σ (T));(ii) a-Browder's theorem holds for f (S) for every …

Let (equation omitted) denote the class of bounded linear Hilbert space operators with the
property that $\midA^ 2\mid\geq\midA\mid^ 2$. In this paper we show that (equation omitted) …

A Banach space operator T ɛ B (X) is polaroid, T ɛ P, if the isolated points of the spectrum of
T are poles of the resolvent of T. Let PS denote the class of operators in P which have have …

Let A be a bounded linear operator acting on a Hilbert space H. The B-Weyl spectrum of A is
the set ${\sigma} _ {B {\omega}}(A) $ of all ${\lambda}{\in}\mathbb {C} $ such that $ A …

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 …

A Banach space operator T∈ B (X) is said to be totally hereditarily normaloid, T∈ THN, if
every part of T is normaloid and every invertible part of T has a normaloid inverse. The …