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ON ALMOST SEMI-FREDHOLM LINEAR RELATIONS IN NORMED SPACES

Published online by Cambridge University Press:  31 January 2005

T. ÁLVAREZ
T. ÁLVAREZ
Affiliation:
Department of Mathematics, University of Oviedo, 33007 Oviedo, Spain e-mail: seco@pinon.ccu.uniovi.esacute
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Abstract

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We give characterisations of the linear relations that are injective and open (respectively, almost open with dense range) in terms of the stability of the nullity (respectively, of the deficiency). Results of Mbekhta about bounded operators in Banach spaces (J. Operator Theory35 (1996), 191–201) are covered.

Keywords

47A06
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 47 , Issue 1 , January 2005 , pp. 187 - 193
Copyright
2005 Glasgow Mathematical Journal Trust

Footnotes

Supported in part by DGI (Spain), Proyecto BFM2001-1149.