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<p>We present <i>m</i>-expansive tuples of commuting operators in a complex Banach space, expanding upon the concept of <i>m</i>-isometric tuples. We provide a characterization of the joint approximate point spectrum of these tuples. Furthermore, we investigate a multi-variable extension of these single-variable [<i>m</i>, <i>C</i>]-expansive operators discussed in M. Chō, I. Hur, J. E. Lee (2024) and delve into several fundamental properties associated with them.</p>

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On m-expansive tuples of commuting operators on a Banach space

  • 期刊论文

  • 发表日期：

    2025年1月24日

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  • Muneo Chō,
  • Injo Hur,
  • Ji Eun Lee

摘要

We present m-expansive tuples of commuting operators in a complex Banach space, expanding upon the concept of m-isometric tuples. We provide a characterization of the joint approximate point spectrum of these tuples. Furthermore, we investigate a multi-variable extension of these single-variable [m, C]-expansive operators discussed in M. Chō, I. Hur, J. E. Lee (2024) and delve into several fundamental properties associated with them.