• 제목/요약/키워드: Ficken's condition

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CHARACTERIZATIONS OF AN INNER PRODUCT SPACE BY GRAPHS

  • Lin, C.S.
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제16권4호
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    • pp.359-367
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    • 2009
  • 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.

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