Factorization of Toeplitz and Hankel operators

Vlastimil Pták

Mathematica Bohemica (1997)

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

Abstract

top
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

top

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

top
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.