Geodesic
On Generalized Spectra of Operators on Hilbert $\boldsymbol{C^*}$-Modules
Zbornik radova, Tome 20 (2022) no. 28, p. 443

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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.
Classification : 47A53, 46L08
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 
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     author = {Stefan G. Ivkovi\'c},
     title = {On {Generalized} {Spectra} of {Operators} on {Hilbert} $\boldsymbol{C^*}${-Modules}},
     journal = {Zbornik radova},
     pages = {443 },
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     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZR_2022_20_28_a10/}
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Stefan G. Ivković. On Generalized Spectra of Operators on Hilbert $\boldsymbol{C^*}$-Modules. Zbornik radova, Tome 20 (2022) no. 28, p. 443 . http://geodesic.mathdoc.fr/item/ZR_2022_20_28_a10/