Properties of J-fusion frames in Krein space

Abstract

In this paper we characterize √ 2-1-uniform J-Parseval fusion frames in a Krein space K. We provide a few results regarding construction of new J-tight fusion frame from given J-tight fusion frames. We also characterize any uniformly J-definite subspace of a Krein space K in terms of a J-fusion frame inequality. Finally we generalize the fundamental identity of frames in Krein space J-fusion frame setting.