On some equalities and inequalities for k-frames

Fahimeh Arabyani Neyshaburi (), Ghadir Mohajeri Minaei () and Ehsan Anjidani ()
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Fahimeh Arabyani Neyshaburi: Hakim Sabzevari University
Ghadir Mohajeri Minaei: Technical and Vocational University, Neyshabur Branch
Ehsan Anjidani: University of Neyshabur

Indian Journal of Pure and Applied Mathematics, 2019, vol. 50, issue 2, 297-308

Abstract: Abstract K-frame theory was recently introduced to reconstruct elements from the range of a bounded linear operator K in a separable Hilbert space. This significant property is worthwhile especially in some problems arising in sampling theory. Some equalities and inequalities have been established for ordinary frames and their duals. In this paper, we continue and extend these results to obtain several important equalities and inequalities for K-frames. Moreover, by applying Jensen’s operator inequality we obtain some new inequalities for K-frames.

Keywords: Frames; K-frames; Parseval K-frames; K-duals; Jensen’s operator inequality (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s13226-019-0325-8

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