Coperturbation function and lower semi-Browder multivalued linear operators

Álvarez, Teresa; Fakhfakh, Fatma; Mnif, Maher

doi:10.1080/03081087.2012.691972

Cited by 5 publications

(3 citation statements)

References 21 publications

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“…Recently, T. Alvarez, F. Fakhfakh and M. Mnif improved this result for closed lower semi-Fredholm linear relations. For more information we refer to [2]. Y, Chamkha and M. Mnif [5] give an analogue result for upper semi-Fredholm linear relations.…”

Section: Further Properties Of Ascent and Descentmentioning

confidence: 99%

“…Throughout this section, we investigate the stability of right Browder linear relations under compact operator perturbations. The analysis is essentially based on the results developed in [2]. Let us recall some definitions and results from [2].…”

Section: Stability Of Right Browder Linear Relationsmentioning

confidence: 99%

“…The analysis is essentially based on the results developed in [2]. Let us recall some definitions and results from [2]. Definition 7.1.…”

Section: Stability Of Right Browder Linear Relationsmentioning

confidence: 99%

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Left-right fredholm and left-right browder linear relations

Álvarez

Fakhfakh

Mnif

2017

Filomat

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In this paper we introduce the notions of left (resp. right) Fredholm and left (resp. right) Browder linear relations. We construct a Kato-type decomposition of such linear relations. The results are then applied to give another decomposition of a left (resp. right) Browder linear relation T in a Banach space as an operator-like sum T = A + B, where A is an injective left (resp. a surjective right) Fredholm linear relation and B is a bounded finite rank operator with certain properties of commutativity. The converse results remain valid with certain conditions of commutativity. As a consequence, we infer the characterization of left (resp. right) Browder spectrum under finite rank operator. 2010 Mathematics Subject Classification. Primary 47A06 Keywords. Ascent and descent of a linear relation, left and right Fredholm linear relations, left and right Browder linear relations, left and right Browder spectrum.

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Section: Further Properties Of Ascent and Descentmentioning

confidence: 99%

Section: Stability Of Right Browder Linear Relationsmentioning

confidence: 99%