GENERALIZED INVERSES AND THE MAXIMAL RADIUS OF REGULARITY OF A FREDHOLM OPERATOR

Authors
BADEA C MBEKHTA M
Citation
C. Badea et M. Mbekhta, GENERALIZED INVERSES AND THE MAXIMAL RADIUS OF REGULARITY OF A FREDHOLM OPERATOR, Integral equations and operator theory, 28(2), 1997, pp. 133-146
Citations number
17
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics
Journal title
Integral equations and operator theory → ACNP
ISSN journal
0378620X
Volume
28
Issue
2
Year of publication
1997
Pages
133 - 146
Database
ISI
SICI code
0378-620X(1997)28:2<133:GIATMR>2.0.ZU;2-M
Abstract
Operators possessing analytic generalized inverses satisfying the reso lvent identity are studied. Several characterizations and necessary co nditions are obtained. The maximal radius of regularity for a Fredholm operator T is computed in terms of the spectral radius of a generaliz ed inverse of T. This provides a partial answer to a conjecture of J. Zemanek.