Compact multiplication operators on semicrossed products
G. Andreolas, M. Anoussis, C. Magiatis
TL;DR
This paper characterizes compact multiplication operators on semi-crossed products by linking them to the underlying dynamical system, and describes the structure of compact elements and their generated ideals within the algebra.
Contribution
It provides a new characterization of compact multiplication operators on semi-crossed products based on the associated dynamical system, and analyzes the structure of compact elements.
Findings
Characterization of compact multiplication operators in terms of dynamical systems
Description of compact elements and the ideals they generate
Structural insights into semi-crossed product algebras
Abstract
We characterize the compact multiplication operators on a semi-crossed product in terms of the corresponding dynamical system. We also characterize the compact elements of this algebra and determine the ideal they generate.
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Taxonomy
TopicsAdvanced Topics in Algebra · Advanced Operator Algebra Research · Advanced Banach Space Theory