منابع مشابه
Spectra of Some Composition Operators and Associated Weighted Composition Operators
We characterize the spectrum and essential spectrum of “essentially linear fractional” composition operators acting on the Hardy space H2(U) of the open unit disc U. When the symbols of these composition operators have Denjoy-Wolff point on the unit circle, the spectrum and essential spectrum coincide. Our work permits us to describe the spectrum and essential spectrum of certain associated wei...
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in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...
15 صفحه اولSpectra of Compact Composition Operators Over Bounded Symmetric Domains
Let H(D) denote the Hardy space of a bounded symmetric domain D ⊂ C in its standard Harish-Chandra realization, and let Aα(D) be the weighted Bergman space with p ≥ 1 and α < εD, where εD is a critical value depending on D. Suppose that φ : D → D is holomorphic. We show that if the composition operator Cφ defined by Cφ(f) = f ◦ φ is compact (or, more generally, power-compact) on H(D) or Aα(D), ...
متن کاملOn the fine spectra of some averaging operators
The aim of this text is the study of the fine spectra for a class of Cesàro generalized operators, Rhaly operators, when those are defined on the spaces lp, p > 1. 2000 Mathematical Subject Classification: 65F15 The averaging operators A are determined by relations inf x∈X f(x) ≤ A(f) ≤ sup x∈X f(x) , ∀ f ∈ F = {f | f : X → R}, where ∅ 6= X ⊂ R. A(f) is the mean of f for the operator A. For a =...
متن کاملStability of essential spectra of bounded linear operators
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1994
ISSN: 0022-1236
DOI: 10.1006/jfan.1994.1123