Parallelogram laws and balanced mappings in smooth Banach spaces (Study on Nonlinear Analysis and Convex Analysis)

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Bibliographic Information

Other Title
  • 滑らかなバナッハ空間における中線定理と均衡写像 (非線形解析学と凸解析学の研究)

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Abstract

A part of the structure of Hilbert spaces is characterized by the parallelogram law. In order for us to hold the parallelogram law by the norm, fairly good conditions are required for Banach space. In this paper, we propose new type parallelogram laws with a bifunction on Banach spaces, and consider alternative expression of affine combinations. Moreover, we introduce two different balanced mappings by using them.

Journal

  • RIMS Kokyuroku

    RIMS Kokyuroku 2214 151-160, 2022-04

    京都大学数理解析研究所

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Details 詳細情報について

  • CRID
    1050574334845627264
  • NII Book ID
    AN00061013
  • HANDLE
    2433/275472
  • ISSN
    18802818
  • Text Lang
    en
  • Article Type
    departmental bulletin paper
  • Data Source
    • IRDB

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