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Study of weaving frames in Krein spaces

Part of: Normed linear spaces and Banach spaces; Banach lattices Nontrigonometric harmonic analysis General theory of linear operators

Published online by Cambridge University Press:  19 September 2025

Avinash Bhardwaj  and
Animesh Bhandari
Avinash Bhardwaj
Affiliation:
Department of Mathematics, SRM University , AP - Andhra Pradesh, Amaravati 522240, India e-mail: avinashbhardwaj320@gmail.com
Animesh Bhandari*
Affiliation:
Department of Mathematics, SRM University , AP - Andhra Pradesh, Amaravati 522240, India e-mail: avinashbhardwaj320@gmail.com
*
e-mail: bhandari.animesh@gmail.com
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Abstract

In this article, we study various properties and characterizations of weaving frames in Krein spaces. In support of our findings, several examples and counter examples are provided, illustrating the applicability of the theoretical results. Additionally, we extend the discussion to an important application in probabilistic erasure, highlighting how weaving frames can be used to mitigate data loss in such scenarios.

Keywords

Frameweaving framesfundamental symmetryKrein space

MSC classification

Primary: 42C15: General harmonic expansions, frames
Secondary: 46C07: Hilbert subspaces (= operator ranges); complementation (Aronszajn, de Branges, etc.) 47A05: General (adjoints, conjugates, products, inverses, domains, ranges, etc.)

Information

Type
Article
Information
Canadian Mathematical Bulletin , First View , pp. 1 - 16
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Copyright
© The Author(s), 2025. Published by Cambridge University Press on behalf of Canadian Mathematical Society

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