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Taiwanese journal of mathematics, 2014-02, Vol.18 (1), p.313-328
Ort / Verlag
Mathematical Society of the Republic of China
Erscheinungsjahr
2014
Link zum Volltext
Quelle
Alma/SFX Local Collection
Beschreibungen/Notizen
In this paper, we mainly parameterizeg-frames in Hilbert space in terms of operators. Firstly, under the condition that there exists ag-orthonormal basis we establish the one to one correspondence between different kinds ofg-frames with certain kinds of operators. Then we parameterizeg-frames without the above restriction. Finally, we consider some specialg-frames, and their operator parameterizations are established. We also obtain some interesting results ong-bases andg-dual frames of the transforms by applying the operator parameterizations ofg-frames.
2010Mathematics Subject Classification: 47B35.
Key words and phrases:g-Frame, Parameterization,g-Basis,g-Riesz basis, Operator.