Geodesic
Weak demicompactness involving measures of weak noncompactness and invariance of the essential spectrum
Filomat, Tome 36 (2022) no. 9, p. 3051

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DOI

In this paper, we show that an unbounded weakly S 0-demicompact linear operator T, introduced in [18], acting on a Banach space, can be characterized by some measures of weak noncompactness. Moreover, our results are illustrated to discuss the relationship with Fredholm and upper semi-Fredholm operators as well as the stability of the essential spectrum of T.
DOI : 10.2298/FIL2209051J
Classification : 47A53, 47A10
Keywords: Weakly demicompact operator, Fredholm and semi-Fredholm operators, measure of weak noncompactness, essential spectrum 
Aref Jeribi; Bilel Krichen; Makrem Salhi. Weak demicompactness involving measures of weak noncompactness and invariance of the essential spectrum. Filomat, Tome 36 (2022) no. 9, p. 3051 . doi: 10.2298/FIL2209051J
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     title = {Weak demicompactness involving measures of weak noncompactness and invariance of the essential spectrum},
     journal = {Filomat},
     pages = {3051 },
     year = {2022},
     volume = {36},
     number = {9},
     doi = {10.2298/FIL2209051J},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2209051J/}
}
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