عنوان مجله
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Annals of Functional Analysis
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چکیده
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In this article, we introduce the concept of generalized multipliers
for g-frames. In fact, we show that every generalized multiplier for g-Bessel
sequences is a generalized multiplier for the induced sequences, in a special
sense. We provide some sucient and/or necessary conditions for the invertibility
of generalized multipliers. In particular, we characterize g-Riesz bases
by invertible multipliers. We look at which perturbations of g-Bessel sequences
preserve the invertibility of generalized multipliers. Finally, we investigate how
to nd a matrix representation of operators on a Hilbert space using g-frames,
and then we characterize g-Riesz bases and g-orthonormal bases by applying
such matrices.
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