Generalized resolvent matrices and spaces of analytic functions

Authors
Kaltenback, M Woracek, H
Citation
M. Kaltenback et H. Woracek, Generalized resolvent matrices and spaces of analytic functions, INTEG EQ OP, 32(3), 1998, pp. 282-318
Citations number
17
Categorie Soggetti
Mathematics
Journal title
INTEGRAL EQUATIONS AND OPERATOR THEORY
ISSN journal
0378620X → ACNP
Volume
32
Issue
3
Year of publication
1998
Pages
282 - 318
Database
ISI
SICI code
0378-620X(199811)32:3<282:GRMASO>2.0.ZU;2-N
Abstract
We introduce triplet spaces for symmetric relations with defect index (1, 1 ) in a Pontryagin space. Representations of Pontryagin spaces by spaces of vector-valued analytic functions are investigated. These concepts are used to study 2 x 2-matrix valued analytic functions which satisfy a certain ker nel condition.