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)
書誌事項
- タイトル別名
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- Parallelogram laws and balanced mappings in smooth Banach spaces (Study on Nonlinear Analysis and Convex Analysis)
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抄録
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.
収録刊行物
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- 数理解析研究所講究録
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数理解析研究所講究録 2214 151-160, 2022-04
京都大学数理解析研究所
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詳細情報 詳細情報について
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- CRID
- 1050574334845627264
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- NII書誌ID
- AN00061013
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- HANDLE
- 2433/275472
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- ISSN
- 18802818
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- 本文言語コード
- en
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- 資料種別
- departmental bulletin paper
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- データソース種別
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- IRDB