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 …

This work is a concise introduction to spectral theory of Hilbert space operators. Its emphasis
is on recent aspects of theory and detailed proofs, with the primary goal of offering a modern …

The book introduces spectral theory for bounded linear operators, giving a modern text for a
graduate course focusing on two basic aspects. On the one hand, the spectral theory for …

A bounded operator T ∈ L (X), X a Banach space, is said to verify generalized Browder's
theorem if the set of all spectral points that do not belong to the B-Weyl's spectrum coincides …

A Hilbert Space operator T is of class Q if T2* T2− 2T* T+ I is nonnegative. Every paranormal
operator is of class Q, but class-Q operators are not necessarily normaloid. It is shown that if …

This is a brief introduction to Fredholm theory for Hilbert space operators organized into ten
sections. The classical partition of the spectrum into point, residual, and continuous spectra …

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 …

Furuta et al introduced class A (k), k> 0 as a class of operators including p-hyponormal and
log-hyponormal operators, where A (1) coincides with class A operator. In this paper, we …

With the gradual orderly opening of low-altitude areas and the increasing number of private
aircraft, the general aviation industry has ushered in new opportunities for development …

A Banach space operator T∈ B (χ) is said to be hereditarily normaloid, denoted T∈ ℋ N, if
every part of T is normaloid; T∈ ℋ N is totally hereditarily normaloid, denoted T∈ ℑ HN, if …