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arXiv · 1611.01339

J-fusion frame for Krein spaces

Shibashis Karmakar
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Abstract

In this article we introduce the notion of $J$-fusion frame for a Krein space $\mathbb{K}$. We relate this new concept with fusion frames for Hilbert spaces and also with $J$-frames for Krein spaces. We also approximate $J$-fusion frame bounds of a $J$-fusion frame by the upper and lower bounds of the synthesis operator. Finally we address the problem of characterizing those bounded linear operators in $\mathbb{K}$ for which the image of $J$-fusion frame is also a $J$-fusion frame.

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Shibashis Karmakar. 2016-11-04. J-fusion frame for Krein spaces. https://arxiv.org/abs/1611.01339

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