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

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

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...

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Veröffentlicht in:Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Físicas y Naturales. Serie A, Matemáticas, 2021-07, Vol.115 (3), Article 139
1. Verfasser: Ellouz, Hanen
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Hilbert space
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Original Paper
Theoretical
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Zusammenfassung: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.
ISSN:1578-7303
1579-1505
DOI:10.1007/s13398-021-01079-3