Spectra of compact composition operators
نویسندگان
چکیده
منابع مشابه
Spectra 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), ...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1975
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1975-0377579-7