G-FRAMES, G-ORTHONORMAL BASES AND G-RIESZ BASES

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KARIMIZAD S.S.

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Journal Paper

Paper Information

Journal: Journal of Linear and Topological Algebra Year:2013 | Volume:2 | Issue:1 Page(s): 25-33

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Information Journal Paper

Title

G-FRAMES, G-ORTHONORMAL BASES AND G-RIESZ BASES

Author(s)

KARIMIZAD S.S. | Issue Writer Certificate

Keywords

G-FRAMES

G-BESSEL SEQUENCES

G-ORTHONORMAL BASES

Abstract

G-FRAMES in Hilbert spaces are a redundant set of operators which yield a representation for each vector in the space. In this paper we investigate the connection between G-FRAMES, G-ORTHONORMAL BASES and g-Riesz bases. We show that a family of bounded opera-tors is a G-BESSEL SEQUENCES if and only if the Gram matrix associated to its defines a bounded operator.

Cites

NEW CHARACTERIZATIONS OF FUSION BASES AND RIESZ FUSION BASES IN HILBERT SPACES

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Cite

APA: Copy

KARIMIZAD, S.S.. (2013). G-FRAMES, G-ORTHONORMAL BASES AND G-RIESZ BASES. JOURNAL OF LINEAR AND TOPOLOGICAL ALGEBRA, 2(1), 25-33. SID. https://sid.ir/paper/335570/en

Vancouver: Copy

KARIMIZAD S.S.. G-FRAMES, G-ORTHONORMAL BASES AND G-RIESZ BASES. JOURNAL OF LINEAR AND TOPOLOGICAL ALGEBRA[Internet]. 2013;2(1):25-33. Available from: https://sid.ir/paper/335570/en

IEEE: Copy

S.S. KARIMIZAD, “G-FRAMES, G-ORTHONORMAL BASES AND G-RIESZ BASES,” JOURNAL OF LINEAR AND TOPOLOGICAL ALGEBRA, vol. 2, no. 1, pp. 25–33, 2013, [Online]. Available: https://sid.ir/paper/335570/en

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