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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Published in | Journal of functional analysis Vol. 166; no. 1; pp. 85 - 129 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Elsevier Inc
01.08.1999
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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. |
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ISSN: | 0022-1236 1096-0783 |
DOI: | 10.1006/jfan.1999.3426 |