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arXiv · 1612.00431

Properties of J-fusion frames in Krein space

Shibashis Karmakar·Sk. Monowar Hossein·Kallol Paul
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Abstract

In this paper we characterize $\sqrt{2}$-1-uniform $J$-Parseval fusion frames in a Krein space $\mathbb{K}$. 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 $\mathbb{K}$ in terms of a $J$-fusion frame inequality. Finally we generalize the fundamental identity of frames in Krein space $J$-fusion frame setting.

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Shibashis Karmakar, Sk. Monowar Hossein, Kallol Paul. 2016-12-01. Properties of J-fusion frames in Krein space. https://doi.org/10.22034/aot.1612-1070

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