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Keywords:
$[m,C]$-expensive operator; $[m,C]$-expansive tuple of operator; Banach space
$[m,C]$-expensive operator; $[m,C]$-expansive tuple of operator; Banach space
Summary:
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 multivariable 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.
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