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June 19, 2026Asian-European Journal of Mathematics

A note on m-Isometric and Quasi-m-isometric operators

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Authors

YEYousef EstaremiSGSaeedeh Shamsi GamchiMGMohammed S. Al Ghafri

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Overview

This note characterizes isometric and quasi-isometric operators on Hilbert space, indicating implications for multiplication operators.

Key Points

  • The aim is to characterize m-isometric and quasi-m-isometric weighted conditional type operators.
  • Characterization of m-isometric and quasi-m-isometric operators on Hilbert spaces.
  • Proved the coincidence of subclasses of normal WCT operators.
  • Demonstrated conditions under which multiplication operators are isometric or quasi-isometric.
  • The subclasses of m-isometric and quasi-m-isometric normal WCT operators are coincided.
  • Quasi-m-isometry WCT operators have a finite spectrum.
  • A multiplication operator is isometric/quasi-isometric if and only if it meets specific criteria.

Cite This Study

Estaremi et al. (2026) studied this question.

synapsesocial.com/papers/6a34def565a5b0777af2e25chttps://doi.org/10.1142/s1793557126500725
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