J-fusion frame for Krein spaces

2016/11/04 by Shibashis Karmakar, Karmakar, Shibashis · 2 citations
Mathematics · #42C15 #46C05 #46C20 #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #math.FA #msc:42C15 #msc:46C05 #msc:46C20

paper · pdf · doi:10.48550/arxiv.1611.01339

openalex publication_date 2016/11/04 · arxiv created 2017/01/28 · arxiv updated 2017/01/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article we introduce the notion of J-fusion frame for a Krein space \mathbbK. 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 \mathbbK for which the image of J-fusion frame is also a J-fusion frame.

Cited by

• Properties of J-fusion frames in Krein space
• J-fusion frame operator for Krein spaces

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• J-fusion frame operator for Krein spaces
• J-Frame Sequences in Krein Space
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• Characterization and Construction of K-Fusion Frames and Their Duals in Hilbert Spaces
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