Wold decomposition of the Hardy space and Blaschke products similar to a contraction

M. Stessin

Colloquium Mathematicae (1999)

  • Volume: 81, Issue: 2, page 271-284
  • ISSN: 0010-1354

Abstract

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The classical Wold decomposition theorem applied to the multiplication by an inner function leads to a special decomposition of the Hardy space. In this paper we obtain norm estimates for componentwise projections associated with this decomposition. An application to operators similar to a contraction is given.

How to cite

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Stessin, M.. "Wold decomposition of the Hardy space and Blaschke products similar to a contraction." Colloquium Mathematicae 81.2 (1999): 271-284. <http://eudml.org/doc/210739>.

@article{Stessin1999,
abstract = {The classical Wold decomposition theorem applied to the multiplication by an inner function leads to a special decomposition of the Hardy space. In this paper we obtain norm estimates for componentwise projections associated with this decomposition. An application to operators similar to a contraction is given.},
author = {Stessin, M.},
journal = {Colloquium Mathematicae},
language = {eng},
number = {2},
pages = {271-284},
title = {Wold decomposition of the Hardy space and Blaschke products similar to a contraction},
url = {http://eudml.org/doc/210739},
volume = {81},
year = {1999},
}

TY - JOUR
AU - Stessin, M.
TI - Wold decomposition of the Hardy space and Blaschke products similar to a contraction
JO - Colloquium Mathematicae
PY - 1999
VL - 81
IS - 2
SP - 271
EP - 284
AB - The classical Wold decomposition theorem applied to the multiplication by an inner function leads to a special decomposition of the Hardy space. In this paper we obtain norm estimates for componentwise projections associated with this decomposition. An application to operators similar to a contraction is given.
LA - eng
UR - http://eudml.org/doc/210739
ER -

References

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  14. [14] V. I. Paulsen, Every completely polynomially bounded operator is similar to a contraction, J. Funct. Anal. 55 (1984), 1-17. Zbl0557.46035
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