Characterization of Properties of Aluthge Transforms in Banach Algebras

Authors

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

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

Creative Commons License

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