Centered weighted composition operators via measure theory

Mohammad Reza Jabbarzadeh; Mehri Jafari Bakhshkandi

Mathematica Bohemica (2018)

  • Volume: 143, Issue: 2, page 123-134
  • ISSN: 0862-7959

Abstract

top
We describe the centered weighted composition operators on L 2 ( Σ ) in terms of their defining symbols. Our characterizations extend Embry-Wardrop-Lambert’s theorem on centered composition operators.

How to cite

top

Jabbarzadeh, Mohammad Reza, and Jafari Bakhshkandi, Mehri. "Centered weighted composition operators via measure theory." Mathematica Bohemica 143.2 (2018): 123-134. <http://eudml.org/doc/294264>.

@article{Jabbarzadeh2018,
abstract = {We describe the centered weighted composition operators on $L^2(\Sigma )$ in terms of their defining symbols. Our characterizations extend Embry-Wardrop-Lambert’s theorem on centered composition operators.},
author = {Jabbarzadeh, Mohammad Reza, Jafari Bakhshkandi, Mehri},
journal = {Mathematica Bohemica},
keywords = {Aluthge transform; Moore-Penrose inverse; weighted composition operator; conditional expectation; centered operator},
language = {eng},
number = {2},
pages = {123-134},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Centered weighted composition operators via measure theory},
url = {http://eudml.org/doc/294264},
volume = {143},
year = {2018},
}

TY - JOUR
AU - Jabbarzadeh, Mohammad Reza
AU - Jafari Bakhshkandi, Mehri
TI - Centered weighted composition operators via measure theory
JO - Mathematica Bohemica
PY - 2018
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 143
IS - 2
SP - 123
EP - 134
AB - We describe the centered weighted composition operators on $L^2(\Sigma )$ in terms of their defining symbols. Our characterizations extend Embry-Wardrop-Lambert’s theorem on centered composition operators.
LA - eng
KW - Aluthge transform; Moore-Penrose inverse; weighted composition operator; conditional expectation; centered operator
UR - http://eudml.org/doc/294264
ER -

References

top
  1. Caradus, S. R., Generalized Inverses and Operator Theory, Queen's Pap. Pure Appl. Math. 50. Queen's University, Kingston, Ontario (1978). (1978) Zbl0434.47003MR0523736
  2. Embry-Wardrop, M., Lambert, A., Measurable transformations and centred composition operators, Proc. R. Ir. Acad., Sect. A 90 (1990), 165-172. (1990) Zbl0753.47011MR1150455
  3. Embry-Wardrop, M., Lambert, A., Subnormality for the adjoint of a composition operator on L 2 , J. Oper. Theory 25 (1991), 309-318. (1991) Zbl0795.47022MR1203036
  4. Giselsson, O., Half-centered operators, Online https://arxiv.org/pdf/1602.05081v1.pdf 44 pages. 
  5. Hoover, T., Lambert, A., Quinn, J., 10.4064/sm-72-3-225-236, Stud. Math. 72 (1982), 225-235. (1982) Zbl0503.47007MR0671398DOI10.4064/sm-72-3-225-236
  6. Lambert, A., 10.1112/blms/18.4.395, Bull. Lond. Math. Soc. 18 (1986), 395-400. (1986) Zbl0624.47014MR0838810DOI10.1112/blms/18.4.395
  7. Morrel, B. B., Muhly, P. S., 10.4064/sm-51-3-251-263, Studia Math. 51 (1974), 251-263. (1974) Zbl0258.47019MR0355658DOI10.4064/sm-51-3-251-263
  8. Singh, R. K., Komal, B. S., 10.1017/S0004972700008303, Bull. Aust. Math. Soc. 18 (1978), 439-446. (1978) Zbl0377.47029MR0508815DOI10.1017/S0004972700008303
  9. Singh, R. K., Manhas, J. S., 10.1016/s0304-0208(08)x7086-0, North-Holland Mathematics Studies 179. North-Holland Publishing, Amsterdam (1993). (1993) Zbl0788.47021MR1246562DOI10.1016/s0304-0208(08)x7086-0

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.