Nonstationary Analogs of the Herglotz Representation Theorem: The Discrete Case

For upper triangular operators with nonnegative real part, we derive generalized Herglotz representation theorems in which the main operator is coisometric, isometric, or unitary. The proofs are based on the representation theorems for upper triangular contractions considered earlier by D. Alpay and...

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Bibliographic Details
Published in	Journal of functional analysis Vol. 166; no. 1; pp. 85 - 129
Main Authors	Alpay, D., Dijksma, A., Peretz, Y.
Format	Journal Article
Language	English
Published	Elsevier Inc 01.08.1999
Online Access	Get full text

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Summary:	For upper triangular operators with nonnegative real part, we derive generalized Herglotz representation theorems in which the main operator is coisometric, isometric, or unitary. The proofs are based on the representation theorems for upper triangular contractions considered earlier by D. Alpay and Y. Peretz.
ISSN:	0022-1236 1096-0783
DOI:	10.1006/jfan.1999.3426