The spectra of weighted conditional type operators
Yousef Estaremi
TL;DR
This paper investigates the spectral properties of weighted conditional type operators, providing explicit calculations and conditions for quasinilpotency, supported by illustrative examples.
Contribution
It offers new explicit formulas for spectra and conditions for quasinilpotency of weighted conditional type operators.
Findings
Spectral, residual, and point spectra are explicitly computed.
An equivalent condition for quasinilpotency is established.
Several concrete examples demonstrate the main results.
Abstract
In this paper, the spectrum, residual spectrum, point spectrum and spectral radius of weighted conditional type operators are computed. As an application, we give an equivalent condition for weighted conditional type operators to be quasinilpotent. Also, several examples are provided to illus- trate concrete application of the main results of the paper.
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Taxonomy
TopicsHolomorphic and Operator Theory · Approximation Theory and Sequence Spaces · Advanced Banach Space Theory