Some results of $K$-frames and their multipliers
Ali Akbar Arefijamaal, Mitra Shamsabadi
TL;DR
This paper explores properties of K-frames in Hilbert spaces, introduces K-frame multipliers, and demonstrates how they can be used to reconstruct elements from the range of a bounded operator K.
Contribution
It presents new properties of K-frames and introduces the concept of K-frame multipliers for element reconstruction in Hilbert spaces.
Findings
Properties of K-frames are characterized.
Introduction of K-frame multipliers.
Representation of elements via K-frame multipliers.
Abstract
K-frames are strongly tools for the reconstruction elements from the range of a bounded linear operator K on a separable Hilbert space H. In this paper, we study some properties of K-frames and introduce the K-frame multipliers. We also focus to represent elements from the range of K by K-frame multipliers.
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Seismic Imaging and Inversion Techniques · Medical Imaging Techniques and Applications