Composition operators acting on weighted Hilbert spaces of analytic functions
Mostafa Hassanlou
TL;DR
This paper studies composition operators on weighted Hilbert spaces of analytic functions, providing formulas for essential norms, characterizations for Hilbert-Schmidt and Schatten-class membership, and analyzing closed range properties.
Contribution
It introduces new formulas and characterizations for composition operators on weighted Hilbert spaces, including essential norm, Hilbert-Schmidt, and Schatten-class criteria.
Findings
Derived a formula for the essential norm of composition operators
Characterized Hilbert-Schmidt and Schatten-class membership
Investigated properties of closed range composition operators
Abstract
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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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Topics in Algebra · Advanced Banach Space Theory