Characterizations of woven frames
Abstract
In a separable Hilbert space H, two frames \fi\i ∈ I and \gi\i ∈ I are said to be woven if there are constants 0<A ≤ B so that for every σ ⊂ I, \fi\i ∈ σ \gi\i ∈ σ c forms a frame for H with the universal bounds A, B. This article 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.
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