EXTENSIONS OF POSITIVE-DEFINITE FREDHOLM OPERATORS WITH PARTIALLY ZERO INVERSE

Citation
M. Bakonyi et Hj. Woerdeman, EXTENSIONS OF POSITIVE-DEFINITE FREDHOLM OPERATORS WITH PARTIALLY ZERO INVERSE, Mathematische Nachrichten, 193, 1998, pp. 5-18
Citations number
13
Categorie Soggetti
Mathematics,Mathematics
Journal title
ISSN journal
0025584X
Volume
193
Year of publication
1998
Pages
5 - 18
Database
ISI
SICI code
0025-584X(1998)193:<5:EOPFOW>2.0.ZU;2-M
Abstract
Considered is the problem of adjusting a positive definite operator in order to obtain a partially zero inverse. Using generalized determina nts the problem is settled for operator matrices with Hilbert Schmidt off diagonal entries. For Fredholm integral operators an approximation result is obtained.