Geodesic
On Generalized Spectra of Operators on Hilbert $\boldsymbol{C^*}$-Modules
Zbornik radova, Tome 20 (2022) no. 28, p. 443 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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 
@article{ZR_2022_20_28_a10,
     author = {Stefan G. Ivkovi\'c},
     title = {On {Generalized} {Spectra} of {Operators} on {Hilbert} $\boldsymbol{C^*}${-Modules}},
     journal = {Zbornik radova},
     pages = {443 },
     year = {2022},
     volume = {20},
     number = {28},
     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/