Journal
SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS
Volume 17, Issue 3, Pages 145-160Publisher
UNIV MARAGHEH
DOI: 10.22130/scma.2019.115719.691
Keywords
c-frame; k-frame; ck-frame; ck-atom; ck-dual
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The notion of k-frames was 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 a Hilbert space which allows reproductions of arbitrary elements by continuous super positions. In this manuscript, 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 prove some new results about it.
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