On Spectra of Symmetrized Two-Sided Multiplication Operators Implemented by Orthogonal Isometries

Authors

  • Benard Okelo Department of Pure and Applied Mathematics, Jaramogi Oginga Odinga University of Science and Technology, Box 210-40601, Bondo-Kenya.
  • Gachago Jacob Department of Pure and Applied Mathematics, Jaramogi Oginga Odinga University of Science and Technology, Box 210-40601, Bondo-Kenya.
  • Willy Kangogo Department of Pure and Applied Mathematics, Jaramogi Oginga Odinga University of Science and Technology, Box 210-40601, Bondo-Kenya.

Keywords:

Spectrum, Elementary operator, Isometry, Orthogonality

Abstract

Characterization of Symmetrized Two-Sided Multiplication Operators have been done over years in-terms of their properties which include numerical ranges and norms among others. However, characterizing the spectrum and norms have not been exhausted still remains interesting. There exists an open question requiring the determination of the norms of elementary operators in a general Banach space setting. Since there is a strong relation ship between the norm and spectral radius, it is in the interest of this study to characterize spectral properties of Symmetrized Two-Sided Multiplication Operators as an avenue that can help in solving the general problem.

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Published

2025-09-14

Issue

Vol. 18 No. 4 (2025): Int. J. Open Problems Compt. Math., Vol. 18, No. 4, December 2025

Section

Articles

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