Factorization of Toeplitz and Hankel operators

Vlastimil Pták

Mathematica Bohemica (1997)

  • Volume: 122, Issue: 2, page 131-145
  • ISSN: 0862-7959

Abstract

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Using a factorization lemma we obtain improvements and simplifications of results on representation of generalized Toeplitz and Hankel operators as compression of symbols.

How to cite

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Pták, Vlastimil. "Factorization of Toeplitz and Hankel operators." Mathematica Bohemica 122.2 (1997): 131-145. <http://eudml.org/doc/248122>.

@article{Pták1997,
abstract = {Using a factorization lemma we obtain improvements and simplifications of results on representation of generalized Toeplitz and Hankel operators as compression of symbols.},
author = {Pták, Vlastimil},
journal = {Mathematica Bohemica},
keywords = {Toeplitz operator; Hankel operator; minimal isometric dilation; commutant lifting theorem; Toeplitz operator; Hankel operator; minimal isometric dilation; commutant lifting theorem},
language = {eng},
number = {2},
pages = {131-145},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Factorization of Toeplitz and Hankel operators},
url = {http://eudml.org/doc/248122},
volume = {122},
year = {1997},
}

TY - JOUR
AU - Pták, Vlastimil
TI - Factorization of Toeplitz and Hankel operators
JO - Mathematica Bohemica
PY - 1997
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 122
IS - 2
SP - 131
EP - 145
AB - Using a factorization lemma we obtain improvements and simplifications of results on representation of generalized Toeplitz and Hankel operators as compression of symbols.
LA - eng
KW - Toeplitz operator; Hankel operator; minimal isometric dilation; commutant lifting theorem; Toeplitz operator; Hankel operator; minimal isometric dilation; commutant lifting theorem
UR - http://eudml.org/doc/248122
ER -

References

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  1. V. Pták P. Vrbová, 10.1007/BF01236657, Integral Equations Operator Theory 11 (1988), 128-147. (1988) MR0920738DOI10.1007/BF01236657
  2. V. Pták P. Vrbová, Operators of Toeplitz and Hankel type, Acta Sci. Math. 52 (1988), 117-140. (1988) MR0957795
  3. B. Sz.-Nagy C. Foiaş, Dilation des commutants, C. R. Ac. Sci. Paris A266 (1968), 493-495. (1968) MR0236755
  4. B. Sz.-Nagy C. Foiaş, Toeplitz type operators and hyponormality, Dilation theory, Toeplitz operators and other topics, Operator theory. Vol. 11. Birkhäuser Verlag, 1983, pp. 371-378. (1983) MR0789650
  5. B. Sz.-Nagy C. Foiaş, An application of dilation theory to hyponormal operators, Acta Sci. Math. 57 (1975), 155-159. (1975) MR0383131

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