| Authors: | Ivković, Stefan | Affiliations: | Mathematics Mathematical Institute of the Serbian Academy of Sciences and Arts |
Title: | On Generalized Spectra of Operators on Hilbert C∗-Modules | Series/Report no.: | Zbornik radova MISANU | Volume: | 20 | Issue: | 28 | First page: | 443 | Last page: | 462 | Related Publication(s): | Topics in Operator Theory | Issue Date: | 2023 | Rank: | M14 | ISBN: | 978-86-80593-75-3 | ISSN: | 0351-9406 | URL: | http://elib.mi.sanu.ac.rs/files/journals/zr/28/zrn28p443-462.pdf | Abstract: | We consider generalized spectra in C∗-algebras of operators on Hilbert C∗-modules and give a description of such spectra of shift operators, unitary, self-adjoint and normal operators on the standard Hilbert C∗-module over a unital C∗-algebra. Moreover, we proceed further by considering the generalized spectra induced by various subclasses of semi-C∗-Fredholm operators and study the relationship between these spectra. |
Keywords: | Hilbert C∗-module | semi-C∗-Fredholm operator | semi- C∗-Weyl operator | essential spectrum | Weyl spectrum | unitary operator | shift operator | self-adjoint operator | normal operator | Publisher: | Mathematical Institute of the Serbian Academy of Sciences and Arts |
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