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Compact multiplication operators on semicrossed products

Volume 269 / 2023

G. Andreolas, M. Anoussis, C. Magiatis Studia Mathematica 269 (2023), 193-207 MSC: Primary 47L65; Secondary 47B07. DOI: 10.4064/sm211107-22-7 Published online: 24 October 2022

Abstract

We characterize the compact multiplication operators on a semicrossed product $C_0(X)\times _\phi \mathbb Z_+$ in terms of the corresponding dynamical system. We also characterize the compact elements of this algebra and determine the ideal they generate.

Authors

  • G. AndreolasDepartment of Mathematics
    University of the Aegean
    832 00 Karlovassi, Samos, Greece
    e-mail
  • M. AnoussisDepartment of Mathematics
    University of the Aegean
    832 00 Karlovassi, Samos, Greece
    e-mail
  • C. MagiatisDepartment of Mathematics
    University of the Aegean
    832 00 Karlovassi, Samos, Greece
    e-mail

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