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Inner inverses of Fredholm operators

โœ Scribed by Luis Kramarz


Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
803 KB
Volume
89
Category
Article
ISSN
0022-247X

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Multivalued semi-Fredholm type operators with topologically complemented kernels and ranges are investigated in normed linear spaces. It is shown that regularisers (generalised inverses) can be constructed for the classes given, and that the operators considered can be characterised in terms of thei

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Considered is the problem of adjusting a positive definite operator in order to obtain a partially zero inverse. Using generalized determinants the problem is settled for operator matrices with Hilbert Schmidt off diagonal entries. For Fredholm integral operators an approximation result is obtained.