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000 nam k
001 2210080120358
005 20140708142527
007 ta
008 870522s1986 bnk FB 000 kor
040 a221008
041 akorbeng
056 a414.524
100 a홍원석
245 00 a2-Norm線型空間과 2-線型汎函數의 性質 /d洪元錫
260 a부산:b東亞大學校 敎育大學院,c1986
300 ai,36 p.;c27 cm
502 a학위논문(석사)--b東亞大學校 敎育大學院:c數學敎育專攻,d1986년 6월
520 b영문초록 : The notion of higher dimensional norm in linear space was introduced by B. Vulich about 60 years ago, but the real study about that has begun since 1960. S. Ga¨hler introduced 2-metric and 2-normed space, applying the conception of area, with the limitations of 1-norm exceeded. c. Diminnie and A. White have developed this notion since then. Recently, the notion of this norm became one of the most important and fundamental in the other fields of mathematics as well as in geometry and analysis. In this thesis, the theories on 2-normed space have been researched and studied, based on 1-normed space. In chapter 2, 2-normed space was defined and its basic properties, cauchy-sequences, 2-banach spaces, and 2-linear functionals were researched and studied. In chapter 3 and 4, the author showed that Hahn-Banach theory for 2-normed space as well as for 1-normed space holds true, and researched uniform convexity and strict convexity in the study of 2-normed space.
650 a선형위상공간
856 adonga.dcollection.netuhttp://donga.dcollection.net/jsp/common/DcLoOrgPer.jsp?sItemId=000002141623
950 a비매품b₩2400c(추정가)
950 aFB
2-Norm線型空間과 2-線型汎函數의 性質
Material type
학위논문 동서
Title
2-Norm線型空間과 2-線型汎函數의 性質
Author's Name
Publication
Physical Description
i,36 p; 27 cm
학위논문주기
학위논문(석사)-- 東亞大學校 敎育大學院: 數學敎育專攻, 1986년 6월
Keyword
영문초록 : The notion of higher dimensional norm in linear space was introduced by B. Vulich about 60 years ago, but the real study about that has begun since 1960. S. Ga¨hler introduced 2-metric and 2-normed space, applying the conception of area, with the limitations of 1-norm exceeded. c. Diminnie and A. White have developed this notion since then. Recently, the notion of this norm became one of the most important and fundamental in the other fields of mathematics as well as in geometry and analysis. In this thesis, the theories on 2-normed space have been researched and studied, based on 1-normed space. In chapter 2, 2-normed space was defined and its basic properties, cauchy-sequences, 2-banach spaces, and 2-linear functionals were researched and studied. In chapter 3 and 4, the author showed that Hahn-Banach theory for 2-normed space as well as for 1-normed space holds true, and researched uniform convexity and strict convexity in the study of 2-normed space.
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Call no. : 414.5 홍67이
RReservation
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CClosed Stack Request
IInter-Campus Loan
CPriority Cataloging
PPrint
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부민학위논문실
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Registration no.
E0314972
Call no.
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부민학위논문실
Status
대출불가 (소장처별 대출 불가)
Due for return
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