Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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K-G-FRAMES AND STABILITY OF K-G-FRAMES IN HILBERT SPACES

  • Hua, Dingli (School of Mathematics and Information Science Beifang University of Nationalities) ;
  • Huang, Yongdong (School of Mathematics and Information Science Beifang University of Nationalities)
  • Received : 2015.08.19
  • Published : 2016.11.01
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Abstract

A K-g-frame is a generalization of a g-frame. It can be used to reconstruct elements from the range of a bounded linear operator K in Hilbert spaces. K-g-frames have a certain advantage compared with g-frames in practical applications. In this paper, the interchangeability of two g-Bessel sequences with respect to a K-g-frame, which is different from a g-frame, is discussed. Several construction methods of K-g-frames are also proposed. Finally, by means of the methods and techniques in frame theory, several results of the stability of K-g-frames are obtained.

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