On a class of m-Isometric and Quasi-m-isometric operators

2025/09/27 by Estaremi, Y., Ghafri, M. S. Al, Shamsigamchi, S.
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2509.23239

Abstract

In this paper we characterize m-isometric and quasi-m-isometric weighted conditional type (WCT) operators on the Hilbert space L²(μ). Also, we prove that the subclasses of m-isometric and quasi-m-isometric of normal WCT operators are coincide. Specially we have the results for multiplication operators. Indeed, we find that for m≥ 2, a multiplication operator M_u is m-isometric (quasi-m-isometric) if and only if it is isometric (quasi-isometric). Some examples are provided to illustrate our results.

Citations

• Multiplication Conditional Expectation Type Operators On Orlicz Spaces

Related

• Isometric and Quasi-isometric weighted composition operators
• Some results on higher orders quasi-isometries
• Classes of operators related to m-isometric operators
• Unbounded weighted conditional type operators on L^p spaces
• Quasi-contractivity, Stability and convergence of WCT operators