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arXiv · 1901.03803

Continuous k-frames and their duals

Gholamreza Rahimlou·Reza Ahmadi·Mohammad Ali Jafarizadeh·Susan Nami
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Abstract

k-frames were recently introduced by Gavruta in Hilbert spaces to study atomic systems with respect to a bounded linear operator. A continuous frame is a family of vectors in Hilbert space which allows reproductions of arbitrary elements by continuous super positions. We construct a continuous k-frame, so called ck-frame along with an atomic system for this version of frames. Also we introduce a new method for obtaining the dual of a ck-frame and we prove some new results about it.

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Gholamreza Rahimlou, Reza Ahmadi, Mohammad Ali Jafarizadeh, Susan Nami. 2019-01-12. Continuous k-frames and their duals. https://arxiv.org/abs/1901.03803

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