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https://open.uns.ac.rs/handle/123456789/10213
Title: | Series expansions in fréchet spaces and their duals, construction of fréchet frames | Authors: | Pilipović, Stevan Stoeva D. |
Issue Date: | 1-Nov-2011 | Journal: | Journal of Approximation Theory | Abstract: | 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 |
Appears in Collections: | PMF Publikacije/Publications |
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