Some classes of weighted conditional type operators and their spectra

TL;DR

This paper investigates specific classes of weighted conditional expectation operators on L2 spaces, analyzing their spectral properties including spectrum, point spectrum, and spectral radius.

Contribution

It introduces and studies new classes of weighted conditional expectation operators, providing explicit spectral analysis and extending understanding of their operator-theoretic properties.

Findings

Spectral radius formulas derived for the classes.

Explicit computation of spectra and point spectra.

Identification of spectral properties for weighted conditional operators.

Abstract

In this paper, some ?-classes of weighted conditional expectation type operators, such as A-class, ?-A-class and quasi-?-A classes on L2(?) are investigated. Also, the spectrum, point spectrum and spectral radius of these operators are computed.