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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2009.1
- 수록면
- 359 - 367 (9page)
이용수
초록· 키워드
오류제보하기
The graph of the parallelogram law is well known, which gives rise to the
characterization of an inner product space among normed linear spaces [6]. In this paper we will sketch graphs of its deformations according to our previous paper [7,Theorem 3.1 and 3.2]; each one of which characterizes an inner product space among normed linear spaces. Consequently, the graphs of some classical characterizations of an inner product space follow easily.
목차
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참고문헌 (9)
참고문헌 신청
C.-S. Lin / 2005 / On (a,b,c,d)-orthogonality in normed linear spaces / Colloquium Math 103 : 1 ~ 10
C.-S. Lin / 2005 / On strictly convex space, inner product space and their characterizations / Far east J. Math. Sci 19 : 121 ~ 132
D. Amir / 1986 / Characterizations of Inner Product Spaces / Birkhauser Verlag
F.A. Ficken / 1944 / Note on the existence of scalar products in normed linear spaces / Ann. Math 45 : 362 ~ 366
J. Oman / 1974 / Norm identities which characterize inner product spaces / The Geometry of Metric and Linear Spaces (490) : 116 ~ 133
C.-S. Lin / 2005 / On strictly convex space, inner product space and their characterizations / Far east J. Math. Sci 19 : 121 ~ 132
D. Amir / 1986 / Characterizations of Inner Product Spaces / Birkhauser Verlag
F.A. Ficken / 1944 / Note on the existence of scalar products in normed linear spaces / Ann. Math 45 : 362 ~ 366
J. Oman / 1974 / Norm identities which characterize inner product spaces / The Geometry of Metric and Linear Spaces (490) : 116 ~ 133
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