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arxiv: 1306.1018 · v2 · pith:3FWVHAUNnew · submitted 2013-06-05 · 🧮 math.FA

Composition operators acting on weighted Hilbert spaces of analytic functions

classification 🧮 math.FA
keywords operatorscompositionanalyticfunctionshilbertspacesweightedacting
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In this paper, we consider composition operators on weighted Hilbert spaces of analytic functions and observe that a formula for the essential norm, give a Hilbert-Schmidt characterization and characterize the membership in Schatten-class for these operators. Also, closed range composition operators are investigated.

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