On the largest analytic set for cyclic operators
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 30, Page 1899-1909, 2003., 2003 We describe the set of analytic bounded point evaluations for an arbitrary cyclic bounded linear operator T on a Hilbert space ℋ; some related consequences are discussed. Furthermore, we show that two densely similar cyclic Banach‐space operators possessing Bishop′s property (β) have equal approximate point spectra.
A. Bourhim
wiley +1 more source
Static spectra and static families of Fredholm-type operators under tensor product
Arab Journal of Basic and Applied SciencesIn this study, we introduce the static spectrum, the Weyl static families, the upper semi-Fredholm static families, and the Browder static families. These families consist of bounded linear operators parameterized by a scalar variable.
Elvis Aponte
doaj +1 more source
Demonstratio MathematicaIf T1{{\mathbb{T}}}_{1} and T2{{\mathbb{T}}}_{2} are commuting dd-tuples of Hilbert space operators in B(ℋ)dB{\left({\mathcal{ {\mathcal H} }})}^{d} such that (T1*⊗I+I⊗T2*,T1⊗I+I⊗T2)\left({{\mathbb{T}}}_{1}^{* }\otimes I+I\otimes {{\mathbb{T}}}_{2}^{* },{
Duggal Bhagwati Prashad, Kim In Hyoun
doaj +1 more source
In this article, we investigate the essential pseudospectra through the framework of polynomially inessential operators, which extends the class of polynomially strictly singular operators and provides a broader setting for Fredholm-type ...
ELGABEUR, Bilel
core +1 more source
© Hindawi Publishing Corp. ON THE LARGEST ANALYTIC SET FOR CYCLIC OPERATORS
, 2002 We describe the set of analytic bounded point evaluations for an arbitrary cyclic bounded linear operator T on a Hilbert space ; some related consequences are discussed.
A. Bourhim
core
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