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 …

Property (R) holds for a bounded linear operator T ∈ L (X), defined on a complex infinite
dimensional Banach space X, if the isolated points of the spectrum of T which are …

In this paper we show that a bounded linear operator on a Banach space $ X $ is polaroid if
and only if $ p (T) $ is polaroid for some polynomial $ p $. Consequently, algebraically …

Weyl type theorems have been proved for a considerably large number of classes of
operators. In this paper, by introducing the class of quasi totally hereditarily normaloid …

In this paper we introduce and study the properties (t) and (gt), which extend properties (w)
and (gw). We establish for a bounded linear operator defined on a Banach space several …

An operator T acting on a Banach space X obeys property (gt) if the isolated points of the
spectrum σ (T) of T which are eigenvalues are exactly those points λ of the spectrum for …

A bounded linear operator T acting on a Hilbert space is said to be polaroid if each isolated
point in the spectrum is a pole of the resolvent of T. There are several generalizations of the …

Property (gb) for a bounded linear operator T∈ L (X), on a Banach space X, means that the
points λ of the approximate point spectrum for which λI− T is upper semi B-Weyl are exactly …

Fredholm theory and localized SVEP Page 1 Functional Analysis, Approximation and
Computation 7 (2) (2015), 9–58 Published by Faculty of Sciences and Mathematics, University …

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