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 Localization property and Frames II Commun. Korean Math. Soc. 2006 Vol. 21, No. 1, 101-115 Printed March 1, 2006 Young-Hwa Ha, Ju-Yeon Ryu Ajou University, Ajou University Abstract : Localization of sequences with respect to Riesz bases for Hilbert spaces are comparable with perturbation of Riesz bases or frames. Gr$\rm\ddot{o}$chenig 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 MSC numbers : 42C15, 46E99, 46B15 Downloads: Full-text PDF

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