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Properties of J-fusion frames in Krein space

2016/12/01 by Shibashis Karmakar, Sk. Monowar Hossein, Kallol Paul
Mathematics · #math.FA #msc:42C15 #msc:46C05 #msc:46C20

paper · pdf · doi:10.22034/aot.1612-1070

published as Advances in Operator Theory, 2017 · arXiv admin note: text overlap with arXiv:1611.01339

arxiv created 2016/12/01 · arxiv updated 2018/12/19

Abstract

In this paper we characterize √(2)-1-uniform J-Parseval fusion frames in a Krein space \mathbbK. 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 \mathbbK in terms of a J-fusion frame inequality. Finally we generalize the fundamental identity of frames in Krein space J-fusion frame setting.

Citations