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• W1491809662 abstract "In this paper we investigate a new notion of bases in Hilbert spaces and similar to fusion frame theory we introduce fusion bases theory in Hilbert spaces. We also introduce a new denition of fusion dual sequence associated with a fusion basis and show that the operators of a fusion dual sequence are continuous projections. Next we dene the fusion biorthogonal sequence, Bessel fusion basis, Hilbert fusion basis and obtain some character- izations of them. we study orthonormal fusion systems and Riesz fusion bases for Hilbert spaces. we consider the stability of fusion bases under small perturbations. We also general- ized a result of Paley-Wiener (16) to the situation of fusion basis." @default.
• W1491809662 created "2016-06-24" @default.
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• W1491809662 date "2015-11-01" @default.
• W1491809662 modified "2023-09-24" @default.
• W1491809662 title "New characterizations of fusion bases and Riesz fusion bases in Hilbert spaces" @default.
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