✦ LIBER ✦

Nonstationary Analogs of the Herglotz Representation Theorem: The Discrete Case

✍ Scribed by D. Alpay; A. Dijksma; Y. Peretz

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 283 KB
Volume: 166
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.1999.3426

No coin nor oath required. For personal study only.

✦ Synopsis

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.