HOMOGENEOUS OPERATORS AND WEIGHTED SHIFT WITH MULTIPLIERS

Authors

  • Dr. Bashir Eissa Mohammad Abedrahaman Nyala University College of Science and Education , Sudan

DOI:

https://doi.org/10.47604/jsar.1606
Abstract views: 82
PDF downloads: 87

Abstract

In this paper we show that a homogenous operator is unitary and a reducible homogenous weighted shift is un weighted bilateral shift, also a projective representation is irreducible, and the quasi-invariant is equivalent to a unitary representation.          

Downloads

Download data is not yet available.

References

B. Bagchi and G.Misra Homogenous tuples of multiplication operators on twisted Bergman space (1996).

B. Bagchi and G.Misra the Homogenous shifts J.Funct. Anal 204, (2003), 109-122.

B. Bagchi and G.Misra Homogenous tuples of multiplication operators on twisted Bergman space J, Funct (1996).

Clark .D. N and Misra G, on some homogenous contraction and unitary representation of SU (1, 1), J, OP, theory 30, (1993), 153-170.

G Misra and N.SN. Sastry, Homogenous tuples of operators and homomorphic discrete series representation of some classical group J. Operator theory, (1990).23-32...

Downloads

Published

2022-08-04

How to Cite

Abedrahaman, B. (2022). HOMOGENEOUS OPERATORS AND WEIGHTED SHIFT WITH MULTIPLIERS. Journal of Statistics and Actuarial Research, 6(1), 1–19. https://doi.org/10.47604/jsar.1606

Issue

Vol. 6 No. 1 (2022)

Section

Articles

License

Copyright (c) 2022 Dr. Bashir Eissa Mohammad Abedrahaman

Creative Commons License

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

Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution (CC-BY) 4.0 License that allows others to share the work with an acknowledgment of the work’s authorship and initial publication in this journal.