Article
| Title: | On $m$-expansive tuples of commuting operators on a Banach space (English) |
| Author: | Chō, Muneo |
| Author: | Hur, Injo |
| Author: | Lee, Ji Eun |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 75 |
| Issue: | 2 |
| Year: | 2025 |
| Pages: | 519-532 |
| Summary lang: | English |
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| Category: | math |
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| 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. (English) |
| Keyword: | $[m,C]$-expensive operator |
| Keyword: | $[m,C]$-expansive tuple of operator |
| Keyword: | Banach space |
| MSC: | 47A11 |
| MSC: | 47B01 |
| DOI: | 10.21136/CMJ.2025.0192-24 |
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| Date available: | 2025-05-20T11:45:50Z |
| Last updated: | 2025-05-26 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/152955 |
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