Weighted Composition Operator and the Mittag-Leffler space
Himanshu Singh
TL;DR
This paper characterizes weighted composition operators on the Mittag-Leffler space, including their Hilbert-Schmidt, unitarity, and spectral properties, advancing understanding of operator theory in this function space.
Contribution
It provides new characterizations of weighted composition operators on the Mittag-Leffler space, focusing on Hilbert-Schmidt, unitarity, and spectral properties.
Findings
Characterization of weighted composition operators as Hilbert-Schmidt and unitary.
Spectral analysis of weighted composition operators.
Enhanced understanding of operator behavior on Mittag-Leffler space.
Abstract
We present important characterizations of the Weighted Composition Operator over the Mittag Leffler space of entire functions. These characterizations include the Hilbert-Schmidt and Unitary char-acterizations of the Weighted Composition Operator over the Mittag-Leffler space. We also see the result for the spectrum of Weighted com-position operator over the Mittag-Leffler space
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Taxonomy
TopicsHolomorphic and Operator Theory · Algebraic and Geometric Analysis · Advanced Topics in Algebra