Czechoslovak Mathematical Journal, first online, pp. 1-14
On $m$-expansive tuples of commuting operators on a Banach space
Muneo Cho, Injo Hur, Ji Eun Lee
Received May 20, 2024. Published online January 24, 2025.
Abstract: 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. Cho, I. Hur, J. E. Lee (2024) and delve into several fundamental properties associated with them.
Keywords: $[m,C]$-expensive operator; $[m,C]$-expansive tuple of operator; Banach space