[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2006.21.1.101

LOCALIZATION PROPERTY AND FRAMES II

HA YOUNG-HWA (Department of Mathematics Ajou University)
RYU JU-YEON (Department of Mathematics Ajou University)

Publication Information

Communications of the Korean Mathematical Society / v.21, no.1, 2006 , pp. 101-115 More about this Journal

Abstract

Localization of sequences with respect to Riesz bases for Hilbert spaces are comparable with perturbation of Riesz bases or frames. Grochenig first introduced the notion of localization. We introduce more general definition of localization and show that exponentially localized sequences and polynomially localized sequences with respect to Riesz bases are Bessel sequences. Furthermore, they are frames provided some additional conditions are satisfied.

Keywords

frame; Bessel sequence; Riesz basis; exponentially localized; polynomially localized; localization of frames;

Citations & Related Records

Reference

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