On spectra of composition operators
نویسندگان
چکیده
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 paper, we study two types of the reducing subspaces for the weighted composition operator $W: frightarrow ucdot fcirc varphi$ on $L^2(Sigma)$. A necessary and sufficient condition is given for $W$ to possess the reducing subspaces of the form $L^2(Sigma_B)$ where $Bin Sigma_{sigma(u)}$. Moreover, we pose some necessary and some sufficient conditions under which the subspaces of the form...
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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), ...
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Let E be a Banach space, with unit ball BE . We study the spectrum and the essential spectrum of a composition operator on H∞(BE) determined by an analytic symbol with a fixed point in BE . We relate the spectrum of the composition operator to that of the derivative of the symbol at the fixed point. We extend a theorem of Zheng to the context of analytic symbols on the open unit ball of a Hilbe...
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ژورنال
عنوان ژورنال: Operators and Matrices
سال: 2015
ISSN: 1846-3886
DOI: 10.7153/oam-09-16