G-Frames, g-orthonormal bases and g-Riesz bases

Journal of Linear and Topological Algebra

مقاله 3، دوره 02، شماره 01، خرداد 2013، صفحه 25-33   

نوع مقاله: Research Paper

نویسنده

S. S. Karimizad

Department of Mathematics, Faculty of Science, Islamic Azad University, Central Tehran Branch, Tehran, Iran

چکیده

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 operators is a g-Bessel sequences if and only if the Gram matrix associated to its denes a bounded operator.

کلیدواژه‌ها

G-frames؛ G-Bessel sequences؛ G-orthonormal bases

مراجع

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