Centered weighted conditional type operators
Yousef Estaremi
TL;DR
This paper characterizes when weighted conditional expectation operators on L2 are centered, explores their relation to normal operators, and provides applications of these theoretical results.
Contribution
It offers necessary and sufficient conditions for centeredness of weighted conditional expectation operators and examines their connection to normal operators.
Findings
Conditions for centeredness of weighted conditional expectation operators
Relationship between normal and centered operators
Applications demonstrating theoretical results
Abstract
In this paper, we give some necessary and sufficient conditions for weighted conditional expectation type operators on L2 to be centered. Also, we investigate the relation between normal and centered weighted con- ditional type operators. Finally we give some applications.
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Banach Space Theory · Advanced Harmonic Analysis Research