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Class of bounded operators associated with an atomic system

By P.Sam Johnson and G. Ramu


$K$-frames, more general than the ordinary frames, have been introduced by Laura G{\u{a}}vru{\c{t}}a in Hilbert spaces to study atomic systems with respect to a bounded linear operator. Using the frame operator, we find a class of bounded linear operators in which a given Bessel sequence is an atomic system for every member in the class

Topics: Bessel sequences, frames, atomic systems, K-Frames., Mathematics, QA1-939, Science, Q
Publisher: Tamkang University
Year: 2015
DOI identifier: 10.5556/j.tkjm.46.2015.1601
OAI identifier: oai:doaj.org/article:e11e45b351324421a5303be8fa9a8806
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