Geodesic
Some results of Fredholm perturbations of multivalued linear operator in normed spaces
Filomat, Tome 37 (2023) no. 5, p. 1399

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DOI

In the present paper, we establish first the relation between the perturbation of upper Fredholm and strictly singular, and then the relation between lower semi-Fredholm and strictly cosingular linear relations. Most importantly in Theorem 3.4, we show that P(F − (X, Y)) coincides with SC(X, Y). We bring to light, the relationship between the essential spectra of a multivalued linear operator and its selection.
DOI : 10.2298/FIL2305399A
Classification : 47A06
Keywords: Multivalued linear operator, Linear selection, Essential spectra 
Aymen Ammar; Aicha Ben Ezzadam; Aref Jeribi. Some results of Fredholm perturbations of multivalued linear operator in normed spaces. Filomat, Tome 37 (2023) no. 5, p. 1399 . doi: 10.2298/FIL2305399A
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     title = {Some results of {Fredholm} perturbations of multivalued linear operator in normed spaces},
     journal = {Filomat},
     pages = {1399 },
     year = {2023},
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     doi = {10.2298/FIL2305399A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2305399A/}
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