Spectra of weighted composition operators on weighted banach spaces of analytic functions
نویسندگان
چکیده
منابع مشابه
Composition operators acting on weighted Hilbert spaces of analytic functions
In this paper, we considered composition operators on weighted Hilbert spaces of analytic functions and observed that a formula for the essential norm, gives a Hilbert-Schmidt characterization and characterizes the membership in Schatten-class for these operators. Also, closed range composition operators are investigated.
متن کاملSpectra of Weighted Composition Operators on Weighted Banach Spaces of Analytic Functions
We determine the spectra of weighted composition operators acting on the weighted Banach spaces of analytic functions H∞ vp when the symbol φ has a fixed point in the open unit disk. Further, we apply this result to give the spectra of composition operators on Bloch type spaces. In particular, we answer in the affirmative a conjecture by MacCluer and Saxe.
متن کاملComposition Operators between Weighted Banach Spaces of Analytic Functions
We characterize those analytic self-maps <p of the unit disc which generate bounded or compact composition operators Cv between given weighted Banach spaces H£° or H® of analytic functions with the weighted sup-norms. We characterize also those composition operators which are bounded or compact with respect to all reasonable weights v. 1991 Mathematics subject classification (Amer. Math. Soc): ...
متن کاملcomposition operators acting on weighted hilbert spaces of analytic functions
in this paper, we considered composition operators on weighted hilbert spaces of analytic functions and observed that a formula for the essential norm, gives a hilbert-schmidt characterization and characterizes the membership in schatten-class for these operators. also, closed range composition operators are investigated.
متن کاملA Note on Spectra of Weighted Composition Operators on Weighted Banach Spaces of Holomorphic Functions
We characterize the spectra of bounded weighted composition operators acting on the weighted Banach spaces H∞ v of analytic functions on the unit disc defined for a radial weight v, when the symbol of the operator has a fixed point in the open unit disc. 2000 Mathematics Subject Classification: 47B33, 47B38
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ژورنال
عنوان ژورنال: Israel Journal of Mathematics
سال: 2004
ISSN: 0021-2172,1565-8511
DOI: 10.1007/bf02772223