Johnson, P.S.Ramu, G.2026-02-052015Tamkang Journal of Mathematics, 2015, 46, 1, pp. 85-90492930https://doi.org/10.5556/j.tkjm.46.2015.1601https://idr.nitk.ac.in/handle/123456789/26324K-frames, more general than the ordinary frames, have been introduced by Laura G?vru?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.Atomic systemsBessel sequencesFramesK-framesClass of bounded operators associated with an atomic system