Class of bounded operators associated with an atomic system

Main Article Content

P.Sam Johnson
G. Ramu

Abstract

$K$-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.

Article Details

How to Cite
Johnson, P., & Ramu, G. (2014). Class of bounded operators associated with an atomic system. Tamkang Journal of Mathematics, 46(1), 85–90. https://doi.org/10.5556/j.tkjm.46.2015.1601
Section
Papers
Author Biographies

P.Sam Johnson

Department ofMathematical andComputational Sciences,National Institute of Technology Karnataka, Surathkal, Mangalore 575 025, India.

G. Ramu

Department ofMathematical andComputational Sciences,National Institute of Technology Karnataka, Surathkal, Mangalore 575 025, India.

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