2017TURKISH JOURNAL OF MATHEMATICSOpen access

Some properties of alternate duals and approximate alternate duals of fusion frames

Ali Akbar Arefijamaal, Fahimeh Arabyani Neyshaburi

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Abstract

In this paper we extend the notion of approximate dual to fusion frames and present some approaches to obtain alternate dual and approximate alternate dual fusion frames. We also study the stability of alternate dual and approximate alternate dual fusion frames.

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What this paper is about

In this paper we extend the notion of approximate dual to fusion frames and present some approaches to obtain alternate dual and approximate alternate dual fusion frames. We also study the stability of alternate dual and approximate alternate dual fusion frames.

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OpenAlex reports 7 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper we extend the notion of approximate dual to fusion frames and present some approaches to obtain alternate dual and approximate alternate dual fusion frames. We also study the stability of alternate dual and approximate alternate dual fusion frames.

Key concepts: Dual polyhedron, Dual (grammatical number), Fusion, Mathematics, Frame (networking), Stability (learning theory), Pure mathematics, Algebra over a field

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