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 …

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 …

A bounded operator T defined on a Banach space is said to be polaroid if every isolated
point of the spectrum is a pole of the resolvent. The" polaroid" condition is related to the …

Given a bounded operator A on a Banach space X with Drazin inverse AD and index r, we
study the class of group invertible bounded operators B such that I+ AD (B− A) is invertible …

A Banach space operator T is polaroid and satisfies Weyl's theorem if and only if T is Kato
type at points λ∈ isoσ (T) and has SVEP at points λ not in the Weyl spectrum of T. For such …

A Banach space operator T∈ B (χ) is polaroid if points λ∈ iso σ (T) are poles of the
resolvent of T. Let\sigma_a (T),\sigma_w (T), aw (T), SF_+(T)\, and\, SF_-(T) denote …

Analytically Class A operators and Weyl’s theorem Page 1 J. Math. Anal. Appl. 320 (2006)
795–803 www.elsevier.com/locate/jmaa Analytically Class A operators and Weyl’s theorem …

Consistent invertibility and Weyl's theorem Page 1 J. Math. Anal. Appl. 369 (2010) 258–264
Contents lists available at ScienceDirect Journal of Mathematical Analysis and Applications …

We introduce a family of operators called the family of $ k $-quasi-$(n, m) $-power normal
operators. Such family includes normal, $ n $-normal and $(n, m) $-power normal operators …

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 …