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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2019, Volume 15, Number 3, Pages 395–411
DOI: https://doi.org/10.15407/mag15.03.395
(Mi jmag735)
 

This article is cited in 9 scientific papers (total in 9 papers)

Frames in quaternionic Hilbert spaces

Sumit Kumar Sharmaa, Shashank Goelb

a Kirori Mal College, University of Delhi, Delhi-110007, India
b Amity Institute of Applied Sciences, Amity University, Noida, U.P-201301, India
Full-text PDF (373 kB) Citations (9)
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Abstract: In this paper, we introduce and study the frames in separable quaternionic Hilbert spaces. The results on the existence of frames in quaternionic Hilbert spaces and a characterization of frames in quaternionic Hilbert spaces in terms of frame operator are given. Finally, a Paley–Wiener type perturbation result for the frames in a quaternionic Hilbert space has been obtained.
Key words and phrases: frame, quaternionic Hilbert spaces.
Received: 04.01.2018
Revised: 03.03.2018
Bibliographic databases:
Document Type: Article
MSC: 42C15, 42A38.
Language: English
Citation: Sumit Kumar Sharma, Shashank Goel, “Frames in quaternionic Hilbert spaces”, Zh. Mat. Fiz. Anal. Geom., 15:3 (2019), 395–411
Citation in format AMSBIB
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\by Sumit~Kumar~Sharma, Shashank~Goel
\paper Frames in quaternionic Hilbert spaces
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2019
\vol 15
\issue 3
\pages 395--411
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\crossref{https://doi.org/10.15407/mag15.03.395}
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\elib{https://elibrary.ru/item.asp?id=41463971}
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  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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