On Topologically Super Weakly Mixing

Authors

  • Seyede Razieh Parsa
  • Meysam Asadipour Department of Mathematics, College of Sciences‎, Yasouj University, Yasouj, Iran

Abstract

This paper introduces and investigates two new classes of operators: \emph{topologically super weakly mixing operators} and \emph{locally topologically super weakly mixing operators}. We explore key topological properties of locally super topologically weakly mixing operators and provide an explicit example to demonstrate that the class of topologically weakly mixing operators is a proper subclass of the class of topologically super weakly mixing operators. Furthermore, we prove a theorem that offers a definitive negative answer to a long-standing open problem in the theory of \(J\)-class operators.

Published

2026-04-01

Issue

Vol. 20

Section

Vol. 20, No. 3, (2026)

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