On a Generalization of the Hilbert Frame Generated by the Bilinear Mapping
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The concept ofb-frame which is a generalization of the frame in Hilbert spaces generated by the bilinear mapping is considered.b-frame operator is defined; analogues of some well-known results of frame theory are obtained in Hilbert spaces. Conditions for the existence ofb-frame in Hilbert spaces are obtained; the relationship between the definite bounded surjective operator andb-frame is also studied. The concept ofb-orthonormalb-basis is introduced.
2018 ◽
Vol 16
(03)
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pp. 1850014
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2018 ◽
Vol 26
(1/2)
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pp. 153-166
2009 ◽
Vol 7
(1)
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pp. 61-70
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2013 ◽
Vol 21
(2)
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pp. 223-236
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2008 ◽
Vol 06
(03)
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pp. 433-446
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