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Asghar Rahimi

Asghar Rahimi

Academic rank: Professor
ORCID:
Education: PhD.
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Faculty: 1
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Research

Title
Controlled K-frames in Hilbert Spaces
Type
JournalPaper
Keywords
Frame, Bessel sequence, Controlled frame, K-frame, Atomic system.
Year
2015
Journal The Journal of Ramanujan society of Mathematics and Mathematical Sciences
DOI
Researchers Mohammad Nouri ، Asghar Rahimi ،

Abstract

K-frames were recently introduced by L. Gavruta in Hilbert spaces to study atomic systems with respect to bounded linear operator. Also controlled frames have been recently introduced by P. Balazs in Hilbert spaces to improve the numerical eciency of interactive algorithms for inverting the frame operator. In this manuscript, we will de ne the concept of the controlled K-frames and will show that controlled K-frames are equivalent to K-frames and so the controlled operator C can be used as preconditions in applications.