Karmakar, S., Hossein, S., Paul, K. (2017). Properties of $J$-fusion frames in Krein spaces. Advances in Operator Theory, 2(3), 215-227. doi: 10.22034/aot.1612-1070
Shibashis Karmakar; Sk. Monowar Hossein; Kallol Paul. "Properties of $J$-fusion frames in Krein spaces". Advances in Operator Theory, 2, 3, 2017, 215-227. doi: 10.22034/aot.1612-1070
Karmakar, S., Hossein, S., Paul, K. (2017). 'Properties of $J$-fusion frames in Krein spaces', Advances in Operator Theory, 2(3), pp. 215-227. doi: 10.22034/aot.1612-1070
Karmakar, S., Hossein, S., Paul, K. Properties of $J$-fusion frames in Krein spaces. Advances in Operator Theory, 2017; 2(3): 215-227. doi: 10.22034/aot.1612-1070
2Department of Mathematics, Aliah University, IIA/27 New Town, Kolkata - 156, W.B., India
Abstract
In this article we introduce the notion of $J$-Parseval fusion frames in a Krein space $\mathbb{K}$ and characterize 1-uniform $J$-Parseval fusion frames with $\zeta=\sqrt{2}$. We provide some results regarding construction of new $J$-tight fusion frame from given $J$-tight fusion frames. We also characterize an uniformly $J$-definite subspace of a Krein space $\mathbb{K}$ in terms of $J$-fusion frame. Finally we generalize the fundamental identity of Hilbert space frames in the setting of Krein spaces.