Properties of J-fusion frames in Krein space

TL;DR

This paper explores the properties and construction methods of J-fusion frames in Krein spaces, including characterizations, subspace properties, and a generalization of the fundamental frame identity.

Contribution

It introduces new characterizations and construction techniques for J-fusion frames in Krein spaces, extending existing theoretical frameworks.

Findings

Characterization of $\

Construction methods for new J-tight fusion frames

Generalization of the fundamental identity of frames in Krein spaces

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.