WEIGHTING OPERATOR PATTERNS OF PRITCHARD-SALAMON REALIZATIONS

Citation
Ma. Kaashoek et al., WEIGHTING OPERATOR PATTERNS OF PRITCHARD-SALAMON REALIZATIONS, Integral equations and operator theory, 27(1), 1997, pp. 48-70
Citations number
14
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics
ISSN journal
0378620X
Volume
27
Issue
1
Year of publication
1997
Pages
48 - 70
Database
ISI
SICI code
0378-620X(1997)27:1<48:WOPOPR>2.0.ZU;2-2
Abstract
In this paper a complete characterization is given of those operator k ernels which appear as weighting patterns of Pritchard-Salamon realiza tions. The result is based on an extension of the standard shift reali zation to weighted L-2-spaces of vector-valued functions.