[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5666/KMJ.2016.56.3.793

G-vector-valued Sequence Space Frames

Osgooei, Elnaz (Department of Sciences, Urmia University of Technology)

Publication Information

Kyungpook Mathematical Journal / v.56, no.3, 2016 , pp. 793-806 More about this Journal

Abstract

G-vector-valued sequence space frames and g-Banach frames for Banach spaces are introduced and studied in this paper. Also, the concepts of duality mapping and ${\beta}$ -dual of a BK-space are used to define frame mapping and synthesis operator of these frames, respectively. Finally, some results regarding the existence of g-vector-valued sequence space frames and g-Banach frames are obtained. In particular, it is proved that if X is a separable Banach space and Y is a Banach space with a Schauder basis, then there exist a Y-valued sequence space $Y_v$ and a g-Banach frame for X with respect to Y and $Y_v$ .

Keywords

BK-space; g- $Y_v$ -frame; g-Banach frame; Reflexive space;

Citations & Related Records

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