J-fusion frame for Krein spaces

Shibashis Karmakar

Published 2016-11-04Version 1

In this paper we introduce the notion of $J$-fusion frame for a Krein space $\mathbb{K}$. We prove some basic results regarding $J$-fusion frame. We also approximate $J$-fusion frame bounds of a $J$-fusion frame by the upper and lower bounds of the synthesis operator. Finally we provide a necessary and sufficient condition under which the image of $J$-fusion frame under a bounded invertible linear map is also a $J$-fusion frame.