the Commuting with Norm and Hermitian of Certain Weighted Composition Operators

Authors

  • Dr. Ahmed Mohammed Ahmed Elhaj1   Author
  • , Dr. Hiba Omer Alfake2 Author
  • Adel Ahmed Hassan Kubba3 Author

DOI:

https://doi.org/10.58971/ygsg4595

Abstract

 

Abstract

We investigate an operator on a Hilbert space, it is useful to determine the operators. We present commutants of composition operators acting on the Hardy space of analytic functions on the unit disk. We include some results about semi groups of weighted composition operators. We examine the weighted composition operators on H2 are self-adjoint. We respective the essential norm, the spectral radius, and the essential spectral radius of an operator. We applied some examples. 

 

Author Biographies

  • Dr. Ahmed Mohammed Ahmed Elhaj1  

     

    1Assistant Professor Elsheikh Abdallah Elbadri University

  • , Dr. Hiba Omer Alfake2

     

    2Assistant Professor Elsheikh Abdallah Elbadri University

  • Adel Ahmed Hassan Kubba3

     

    3 Associate Professor, Department of Mathematics Fuclty of  Education,  Nile Valley University

    Tel:+249915330529

Published

2025-07-07

Issue

Vol. 2 No. 4 (2025): المجلد الثاني العدد الرابع

Section

المقالات