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Operators Which Do Not Have the Single Valued Extension Property
Authors:Pietro Aiena  Osmin Monsalve  
Affiliation:Dipartimento di Matematica ed Applicazioni, Facoltà di Ingegneria, Università di Palermo, Viale delle Scienze, I-90128, Palermo, Italyf1;Departamento de Matemáticas, Facultad de Ciencias, Universidad de Los Andes, Merida, Venezuela, f2
Abstract:In this paper we shall consider the relationships between a local version of the single valued extension property of a bounded operator T set membership, variant L(X) on a Banach space X and some quantities associated with T which play an important role in Fredholm theory. In particular, we shall consider some conditions for which T does not have the single valued extension property at a point λo set membership, variant C.
Keywords:single valued extension property   Fredholm theory
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