On Wold-type decomposition (Q417422)
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scientific article; zbMATH DE number 6034436
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Wold-type decomposition |
scientific article; zbMATH DE number 6034436 |
Statements
On Wold-type decomposition (English)
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14 May 2012
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A new necessary and sufficient condition for a Hilbert space contraction to have \(C_{.0}\) completely nonunitary (cnu) part (in the sense of Sz.-Nagy and Foiaş) is given. This result is used to show that the cnu part of several generalizations of hyponormal contractions is of class \(C_{.0}\).
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\((p,k)\)-quasihyponormal operators
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\(k\)-paranormal operators
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\(*\)-paranormal operators
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\(C_{.0}\)-contraction
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Fuglede-Putnam theorem
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