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Some results of \(K\)-frames and their multipliers. (English) Zbl 1454.42031

The notion of \(K\)-frames, where \(K\) is a bounded linear operator on a separable Hilbert space, is a variation of that of frames. In the first part of the paper some properties of \(K\)-frames and \(K\)-duals are given. In the second part, the notion of \(K\)-frame multipliers is introduced and studied.

MSC:

42C15 General harmonic expansions, frames
41A58 Series expansions (e.g., Taylor, Lidstone series, but not Fourier series)
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