STABILITY OF DUAL CONTROLLED G-FUSION FRAMES IN HILBERT SPACES

STABILITY OF DUAL CONTROLLED G-FUSION FRAMES IN HILBERT SPACES

P. GHOSH, T. K. SAMANTA,

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Abstract. Some properties of controlled K-g-fusion frame have been discussed. Char- acterizations of controlled K-g-fusion frame are being presented.We also establish a relationship between quotient operator and controlled K-g-fusion frame. Some algebric properties of controlled K-g-fusion frame have been described. Finally, we shall discuss the stability of dual controlled g-fusion frame.

Keywords: g-fusion frame, K-g-fusion frame, quotient operator, controlled g-fusion frame, controlled K-g-fusion frame.

AMS Subject Classification:42C15; 94A12; 46C07.