Controlled $E$-frames in Hilbert spaces
H. Hedayatirad, T.L. Shateri
TL;DR
This paper introduces controlled E-frames in Hilbert spaces, explores their properties, and characterizes their duals, advancing the theoretical understanding of frame theory.
Contribution
It presents the novel concept of controlled E-frames and provides a comprehensive analysis of their properties and duals.
Findings
Defined controlled E-frames in Hilbert spaces
Characterized all controlled E-duals for a given controlled E-frame
Established properties and structure of controlled E-frames
Abstract
In the present paper, we introduce the notion of controlled -frames. Then we investigate and study some properties of them and characterize all controlled -duals associated with a given controlled -frame.
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Taxonomy
TopicsMathematical Analysis and Transform Methods