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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