Some Generalizations of Frames in Hilbert Modules

Some Generalizations of Frames in Hilbert Modules

Frames play significant role in various areas of science and engineering. In this paper, we introduce the concept of frames for the set of all adjointable operators from ℋ to K and their generalizations. Moreover, we obtain some new results for generalized frames in Hilbert modules.

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Veröffentlicht in:International journal of mathematics and mathematical sciences 2021-05, Vol.2021, p.1-11
Hauptverfasser: Rossafi, Mohamed, Kabbaj, Samir
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Data compression
Frames
Hilbert space
Modules
Signal processing
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Zusammenfassung:Frames play significant role in various areas of science and engineering. In this paper, we introduce the concept of frames for the set of all adjointable operators from ℋ to K and their generalizations. Moreover, we obtain some new results for generalized frames in Hilbert modules.
ISSN:0161-1712
1687-0425
DOI:10.1155/2021/5522671