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Dual and canonical dual K-Bessel sequences in quaternionic Hilbert spaces

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

In this paper, we derive a precise description to the concept of dual K-Bessel sequences of a given K-frame in quaternionic Hilbert spaces. After that, we introduce the notion of canonical dual K-Bessel sequence. We study its existence and uniqueness and we investigate some properties related to this concept.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences of Sfax, Sfax University, BP 1171, Sfax, 3000, Tunisia

    Hanen Ellouz

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  1. Hanen Ellouz
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Correspondence to Hanen Ellouz.

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Ellouz, H. Dual and canonical dual K-Bessel sequences in quaternionic Hilbert spaces. RACSAM 115, 139 (2021). https://doi.org/10.1007/s13398-021-01079-3

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  • DOI: https://doi.org/10.1007/s13398-021-01079-3

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