Multivalued Fredholm type operators with abstract generalised inverses

Authors
Alvarez, T Cross, RW Wilcox, D
Citation
T. Alvarez et al., Multivalued Fredholm type operators with abstract generalised inverses, J MATH ANAL, 261(1), 2001, pp. 403-417
Citations number
32
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
261
Issue
1
Year of publication
2001
Pages
403 - 417
Database
ISI
SICI code
0022-247X(20010901)261:1<403:MFTOWA>2.0.ZU;2-X
Abstract
Multivalued semi-Fredholm type operators with topologically complemented ke rnels and ranges are investigated in normed linear spaces. It is shown that regularisers (generalised inverses) can be constructed for the classes giv en, and that the operators considered can be characterised in terms of thei r regularisers. Continuity of the inverses is discussed, and dual propertie s of adjoints are given. (C) 2001 Academic Press.