Nonstationary analogs of the Herglotz representation theorem: The discretecase

Authors
Alpay, D Dijksma, A Peretz, Y
Citation
D. Alpay et al., Nonstationary analogs of the Herglotz representation theorem: The discretecase, J FUNCT ANA, 166(1), 1999, pp. 85-129
Citations number
27
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF FUNCTIONAL ANALYSIS
ISSN journal
00221236 → ACNP
Volume
166
Issue
1
Year of publication
1999
Pages
85 - 129
Database
ISI
SICI code
0022-1236(19990801)166:1<85:NAOTHR>2.0.ZU;2-S
Abstract
For upper triangular operators with nonnegative real part: we derive genera lized Herglotz representation theorems in which the main operator is coisom etric, isometric, or unitary. The proofs are based on the representation th eorems for upper triangular contractions considered earlier by D. Alpay and Y. Peretz. (C) 1999 Academic Press.