Characterization of Properties of Aluthge Transforms in Banach Algebras

Authors

  • I.O Okwany
  • N.B Okelo
  • J.E.J Ogal

DOI:

https://doi.org/10.65000/cd1ebp92

Keywords:

Hilbert space; Numerical ranges; Aluthge transforms; Banach algebra.

Abstract

Let H be a complex separable Hilbert space with and let B(H) be the Banach algebra of all bounded linear operators on H. In the present paper we characterize Aluthge transforms in Banach algebras. We considered classical and maximal numerical ranges of these transforms and finally we give their relationships. 

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Published

29-02-2020

Issue

Vol. 3 No. 2 (2020)

Section

Articles

License

Copyright (c) 2020 I.O Okwany, N.B Okelo, J.E.J Ogal

Creative Commons License

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

How to Cite

Okwany, I., Okelo, N., & Ogal, J. (2020). Characterization of Properties of Aluthge Transforms in Banach Algebras. International Journal of Modern Computation, Information and Communication Technology, 3(2), 19-23. https://doi.org/10.65000/cd1ebp92