Geodesic
A new variant of Hildebrandt's theorem for the Weyl spectrum in Banach spaces
Filomat, Tome 36 (2022) no. 6, p. 1857

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DOI

The main purpose of this paper is to establish a new variant of the Hildebrandt's theorem for the Weyl spectrum in a separable Banach space. This theorem asserts that the convex hull of the Weyl spectrum of an operator T is equal to the intersection of the Weyl numerical spectra of operators that are similar to T.
DOI : 10.2298/FIL2206857C
Classification : 47A12, 47A10, 47D06
Keywords: Numerical range, Weyl spectrum, numerical spectrum, Weyl numerical spectrum, Hildebrandt’s theorem 
Salma Charfi; Sassia Rahali; Ines Walha. A new variant of Hildebrandt's theorem for the Weyl spectrum in Banach spaces. Filomat, Tome 36 (2022) no. 6, p. 1857 . doi: 10.2298/FIL2206857C
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     author = {Salma Charfi and Sassia Rahali and Ines Walha},
     title = {A new variant of {Hildebrandt's} theorem for the {Weyl} spectrum in {Banach} spaces},
     journal = {Filomat},
     pages = {1857 },
     year = {2022},
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     number = {6},
     doi = {10.2298/FIL2206857C},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2206857C/}
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