Construction of continuous controlled K-g-fusion frames in Hilbert spaces

Authors

  • PRASENJIT GHOSH Calcutta University (UGC)
  • Tapas Kumar Samanta Uluberia College

DOI:

https://doi.org/10.12697/ACUTM.2024.28.04

Keywords:

frame, K-g-fusion frame, continuous g-fusion frame, controlled frame, controlled K-g-fusion frame

Abstract

We present the notion of continuous controlled K-g-fusion frame in a Hilbert space which is generalization of discrete controlled K-g-fusion frame.We discuss some characterizations of a continuous controlled K-g-fusion frame. A relationship between a continuous controlled K-g-fusion frame and a quotient operator has been studied. Finally, stability of a continuous controlled g-fusion frame has been described.

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Author Biographies

PRASENJIT GHOSH, Calcutta University (UGC)

Department of Mathematics

Tapas Kumar Samanta, Uluberia College

Department of Mathematics

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Published

2024-06-03

Issue

Section

Articles