Affiliation:
1. Department of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil, Iran
Abstract
In this paper we introduce and study near g-Riesz basis, Besselian g-frames
and unconditional g-frames. We show that a near g-Riesz basis is a Besselian
g-frame and we conclude that under some conditions the kernel of associated
synthesis operator for a near g-Riesz basis is finite dimensional. Finally,
we show that a g-frame is a g-Riesz basis for a Hilbert space H if and only
if there is an equivalent inner product on H, with respect to which it
becomes an g-orthonormal basis for H.
Publisher
National Library of Serbia
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Cited by
11 articles.
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