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 …

Background/Aims: We investigated the time of onset of antituberculous drug-induced
hepatotoxicity (ADIH) and related characteristics. Methods: Adult patients (n= 1,031) treated …

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 …

Let T be a bounded linear operator on a complex Hilbert space H. In this paper we introduce
a new class, denoted 𝓚𝓠𝓐*, of operators satisfying $ T^{* k}(| T²|-| T*| ²) T^{k}≥ 0$ where k is …

Let B (H) denote the algebra of operators on an infinite dimensional complex Hilbert space
H, and let A○∈ B (K) denote the Berberian extension of an operator A∈ B (H). It is proved …

“Generalized Weyl's theorem holds” for an operator when the complement in the spectrum of
the B-Weyl spectrum coincides with the isolated points of the spectrum which are …

A Hilbert space operator A∈ B (H) is said to be p-quasi-hyponormal for some 0< p⩽ 1, A∈
p− QH, if A∗(∣ A∣ 2p−∣ A∗∣ 2p) A⩾ 0. If H is infinite dimensional, then operators A∈ p …

If $ M_ {C}=\left (\begin {smallmatrix} A&C0&B\end {smallmatrix}\right) $ is a $2\times 2$
upper triangular matrix on the Hilbert space $ H\oplus K $, then $ a $-Weyl's theorem for $ A …

If T or T* is log-hyponormal then for every f∈ H (σ (T)), Weyl's theorem holds for f (T), where
H (σ (T)) denotes the set of all analytic functions on an open neighborhood of σ (T) …