Affiliation:
1. Department of Mathematics, NIT Meghalaya, Shillong 793003, India
Abstract
In a separable Hilbert space [Formula: see text], two frames [Formula: see text] and [Formula: see text] are said to be woven if there are constants [Formula: see text] so that for every [Formula: see text], [Formula: see text] forms a frame for [Formula: see text] with the universal bounds [Formula: see text]. This paper provides methods of constructing woven frames. In particular, bounded linear operators are used to create woven frames from a given frame. Several examples are discussed to validate the results. Moreover, the notion of woven frame sequences is introduced and characterized.
Funder
Science and Engineering Research Board
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Information Systems,Signal Processing
Cited by
8 articles.
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3. Some notes on weaving frames in Hilbert spaces;Annals of Functional Analysis;2022-12-12
4. On K-woven frames in Hilbert $$C^{*}$$-modules;Journal of Pseudo-Differential Operators and Applications;2022-08-20
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