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On regular linear relations

Author:
Álvarez Seco, María TeresaUniovi authority
Subject:

Regular Linear Relation

Polynomial In a Linear Relation

Semifredholm Linear Relation

Publication date:
2012
Editorial:

Chinese Mathematical Society

Publisher version:
http://dx.doi.org/10.1007/s10114-012-9314-0
Citación:
Acta Mathematica Sinica, English Series, 28(1), 183-194 (2012); doi:10.1007/s10114-012-9314-0
Descripción física:
p. 183-194
Abstract:

For a closed linear relation in a Banach space the concept of regularity is introduced and studied. It is shown that many of the results of Mbekhta and other authors for operators remain valid in the context of multivalued linear operators. We also extend the punctured neighbourhood theorem for operators to linear relations and as an application we obtain a characterization of semiFredholm linear relations which are regular.

For a closed linear relation in a Banach space the concept of regularity is introduced and studied. It is shown that many of the results of Mbekhta and other authors for operators remain valid in the context of multivalued linear operators. We also extend the punctured neighbourhood theorem for operators to linear relations and as an application we obtain a characterization of semiFredholm linear relations which are regular.

URI:
http://www.actamath.com/Jwk_sxxb_en/EN/10.1007/s10114-012-9314-0
http://hdl.handle.net/10651/6006
ISSN:
1439-8516; 1439-7617
DOI:
10.1007/s10114-012-9314-0
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