The Spectrum and The Numerical Range of W_f,φ W_f,ψ* and W_f,ψ* W_f,φ

Eiman H. Abood, Mohammed A. H.

Abstract


In this paper we study the spectrum and the numerical range of weighted composition operator with the adjointof weighted composition operator  induced  by linear –fractional self- maps   of  on Hardy space .


Full Text:

PDF

References


AboodE.H., " The composition operator on Hardy space 〖 H〗^2", Ph.D. Thesis, University of Baghdad, (2003).

Abood E. H., The numerical rang and normal operator , Mc. S. Thesis, University of Baghdad, 1996.

Bourdon Paul S. and Narayan S., "Normal weighted composition operators on the Hardy space ", J.Math.Anal. Appl.,367(2010),5771-5801.

CowenC. C. and Ko E.,"Hermitian weighted composition operator on H^2 " Trans.Amer.Math.Soc., 362(2010), 5771-5801.

Deddnes J. A. , "Analytic Toeplitz and Composition Operators", Con. J. Math., vol(5), 859-865, (1972).

GunatillakeG.,"invertible weighted composition operator ",J. Funct. Anal., 261(2011), 831-860.

Gunatillake, G. ,Jovovic, M. and Smith, W. ,Numerical range of weighted composition operators ,J. of Mat. Anal., (2014) .

Halmos P. R.,"A Hilbert space problem book", Sprinrer- Verlag, NewYork,(1974).

Shapiro J.H., "Composition Operators and Classical Function Theory", Springer-Verlage,New York, (1993).


Refbacks

  • There are currently no refbacks.


Copyright (c) 2016 Journal of Progressive Research in Mathematics

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Copyright © 2016 Journal of Progressive Research in Mathematics. All rights reserved.

ISSN: 2395-0218.

For any help/support contact us at editorial@scitecresearch.com, jprmeditor@scitecresearch.com.