Series expansions in fréchet spaces and their duals, construction of fréchet frames

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Назив:	Series expansions in fréchet spaces and their duals, construction of fréchet frames
Аутори:	Pilipović, Stevan Stoeva D.
Датум издавања:	1-нов-2011
Часопис:	Journal of Approximation Theory
Сажетак:	Frames for Fréchet spaces XF with respect to Fréchet sequence spaces ΘF are studied, and conditions implying series expansions in XF and XF* are determined. If {gi}i=1∞ is a Θ0-frame for X0 and ΘF (resp. XF) is given, we construct a sequence {Xs}s∈N{double-struck}0, Xs∈Xs-1, s∈N{double-struck}, (resp. {Θs}s∈N{double-struck}0, Θs∈Θs-1, s∈N{double-struck}), so that {gi}i=1∞ is a pre-F-frame or F-frame for XF with respect to ΘF under different assumptions given on X0, Θ0 and ΘF (resp. XF). © 2011 Elsevier Inc.
URI:	https://open.uns.ac.rs/handle/123456789/10213
ISSN:	00219045
DOI:	10.1016/j.jat.2011.06.010
Налази се у колекцијама:	PMF Publikacije/Publications