2020
DOI: 10.2478/mjpaa-2020-0014
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Controlled Continuous g-Frames in Hilbert C * -Modules

Abstract: Frame Theory has a great revolution in recent years. This Theory have been extended from Hilbert spaces to Hilbert C*-modules. The purpose of this paper is the introduction and the study of the concept of Controlled Continuous g-Frames in Hilbert C*-Modules. Also we give some properties.

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Cited by 7 publications
(3 citation statements)
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“…Gabardo and Han in [11] called these kinds frames or frames associated with measurable spaces. For more details, the reader can refer to [4,[13][14][15][16][20][21][22][23][24][25][26][27][28][29][30][31][32].…”
Section: Introductionmentioning
confidence: 99%
“…Gabardo and Han in [11] called these kinds frames or frames associated with measurable spaces. For more details, the reader can refer to [4,[13][14][15][16][20][21][22][23][24][25][26][27][28][29][30][31][32].…”
Section: Introductionmentioning
confidence: 99%
“…The theory of continuous frames has been generalized in Hilbert C * -modules. For more details, see [16][17][18][19][20][21][22].…”
Section: Introductionmentioning
confidence: 99%
“…Frames possess many nice properties which make them very useful in wavelet analysis, irregular sampling theory, signal processing and many other fields. The theory of frames has been generalized rapidly and various generalizations of frames have emerged in Hilbert spaces and Hilbert C * -modules (see [7,9,10,13,14,21,20,22,23,24,25]).…”
Section: Introductionmentioning
confidence: 99%