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국소성과 프레임
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.advisor | 하영화 | - |
| dc.contributor.author | 류주연 | - |
| dc.date.accessioned | 2018-11-08T06:39:57Z | - |
| dc.date.available | 2018-11-08T06:39:57Z | - |
| dc.date.issued | 2006-02 | - |
| dc.identifier.other | 1233 | - |
| dc.identifier.uri | https://dspace.ajou.ac.kr/handle/2018.oak/3351 | - |
| dc.description | 학위논문(박사)--아주대학교 일반대학원 :수학과,2006. 2 | - |
| dc.description.tableofcontents | Abstract ... 1 1. Introduction ... 2 2. Preliminaries ... 4 2.1 Bases in Banach space ... 4 2.2 Bessel sequences in Hilbert spaces ... 6 2.3 Riesz bases in Hilbert spaces ... 12 2.4 Frames ... 17 2.5 Frames versus Riesz bases ... 23 3. Localization property and frames ... 26 3.1 Gr\"{o}chenig 's definition ... 26 3.2 Localization equivalent to Gr\"{o}chenig 's definition ... 27 3.3 Generalized localization ... 37 3.4 Examples ... 46 Bibliography | - |
| dc.language.iso | eng | - |
| dc.publisher | The Graduate School, Ajou University | - |
| dc.rights | 아주대학교 논문은 저작권에 의해 보호받습니다. | - |
| dc.title | 국소성과 프레임 | - |
| dc.title.alternative | Ju-Yeon Ryu | - |
| dc.type | Thesis | - |
| dc.contributor.affiliation | 아주대학교 일반대학원 | - |
| dc.contributor.alternativeName | Ju-Yeon Ryu | - |
| dc.contributor.department | 일반대학원 수학과 | - |
| dc.date.awarded | 2006. 2 | - |
| dc.description.degree | Master | - |
| dc.identifier.localId | 565190 | - |
| dc.identifier.url | http://dcoll.ajou.ac.kr:9080/dcollection/jsp/common/DcLoOrgPer.jsp?sItemId=000000001233 | - |
| dc.description.alternativeAbstract | Localization of sequences with respect to Riesz bases for Hilbert spaces are comparable with perturbation of Riesz bases or frames. Gr\"{o}chenig first introduced the notion of localization. In this thesis, 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. | - |
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- Graduate School of Ajou University > Department of Mathematics > 3. Theses(Master)
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