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

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.          

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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...

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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

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