Notes on unbounded Toeplitz operators in Segal-Bargmann spaces

D. Cichoń

Annales Polonici Mathematici (1996)

  • Volume: 64, Issue: 3, page 227-235
  • ISSN: 0066-2216

Abstract

top
Relations between different extensions of Toeplitz operators T φ are studied. Additive properties of closed Toeplitz operators are investigated, in particular necessary and sufficient conditions are given and some applications in case of Toeplitz operators with polynomial symbols are indicated.

How to cite

top

D. Cichoń. "Notes on unbounded Toeplitz operators in Segal-Bargmann spaces." Annales Polonici Mathematici 64.3 (1996): 227-235. <http://eudml.org/doc/269969>.

@article{D1996,
abstract = {Relations between different extensions of Toeplitz operators $T_φ$ are studied. Additive properties of closed Toeplitz operators are investigated, in particular necessary and sufficient conditions are given and some applications in case of Toeplitz operators with polynomial symbols are indicated.},
author = {D. Cichoń},
journal = {Annales Polonici Mathematici},
keywords = {unbounded operators; Hilbert spaces of entire functions; reproducing kernels; extensions of Toeplitz operators; polynomial symbols},
language = {eng},
number = {3},
pages = {227-235},
title = {Notes on unbounded Toeplitz operators in Segal-Bargmann spaces},
url = {http://eudml.org/doc/269969},
volume = {64},
year = {1996},
}

TY - JOUR
AU - D. Cichoń
TI - Notes on unbounded Toeplitz operators in Segal-Bargmann spaces
JO - Annales Polonici Mathematici
PY - 1996
VL - 64
IS - 3
SP - 227
EP - 235
AB - Relations between different extensions of Toeplitz operators $T_φ$ are studied. Additive properties of closed Toeplitz operators are investigated, in particular necessary and sufficient conditions are given and some applications in case of Toeplitz operators with polynomial symbols are indicated.
LA - eng
KW - unbounded operators; Hilbert spaces of entire functions; reproducing kernels; extensions of Toeplitz operators; polynomial symbols
UR - http://eudml.org/doc/269969
ER -

References

top
  1. [1] F. A. Berezin, Vick and anti-Vick symbols of operators, Mat. Sb. 86 (1971), 578-610 (in Russian). 
  2. [2] J. Janas, Toeplitz and Hankel operators on Bargmann spaces, Glasgow Math. J. 30 (1988), 315-323. Zbl0809.47023
  3. [3] J. Janas, Unbounded Toeplitz operators in the Bargmann-Segal space, Studia Math. 99 (1991), 87-99. Zbl0766.47004
  4. [4] J. Janas and J. Stochel, Unbounded Toeplitz operators in the Segal-Bargmann space. II, J. Funct. Anal. 126 (1994), 418-447. Zbl0824.47021
  5. [5] D. J. Newman and H. S. Shapiro, Fischer spaces of entire functions, in: Entire Functions and Related Parts of Analysis, J. Korevaar (ed.), Proc. Sympos. Pure Math. 11, Amer. Math. Soc., Providence, 1968, 360-369. 
  6. [6] J. Janas and J. Stochel, private communication. 

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.