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J-GLOBAL ID：202002261935703631   Reference number：20A1883049

Continuous Quasi Gyrolinear Functionals on Mobius Gyrovector Spaces

Mobiusジャイロベクトル空間上の連続準ジャイロ線形汎関数【JST・京大機械翻訳】

Author (1)： Watanabe Keiichi (Department of Mathematics, Faculty of Science, Niigata University, 950-2181, Japan)
Material： Journal of Function Spaces (Web)
Volume： 2020  Page： Null  Publication year： 2020 
JST Material Number： U7771A  ISSN： 2314-8896  Document type： Article
Article type： 原著論文  Country of issue： United Kingdom (GBR)  Language： ENGLISH (EN)

Abstract/Point： We investigate a class of func...

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Thesaurus term： Hilbert space ,  *vector space ,  *functional ,  linearity ,  *gyroscope ,  bounded

JST classification (3)： Signal theory  (ND02020G) ,  Mathematical physics  (BA03000W) ,  Analysis  (AB05000M)

Reference (14)：

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• A. A. Ungar, "Group-like structure underlying the unit ball in real inner product spaces," Results in Mathematics, vol. 18, no. 3-4, pp. 355-364, 1990.
• A. A. Ungar, "Extension of the unit disk gyrogroup into the unit ball of any real inner product space," Journal of Mathematical Analysis and Applications, vol. 202, no. 3, pp. 1040-1057, 1996.
• T. Abe, O. Hatori, "Generalized gyrovector spaces and a Mazur-Ulam theorem," Publicationes Mathematicae Debrecen, vol. 87, no. 3-4, pp. 393-413, 2015.
• O. Hatori, "Examples and applications of generalized gyrovector spaces," Results in Mathematics, vol. 71, no. 1-2, pp. 295-317, 2017.

Terms in the title (4)： ジャイロ ,  ベクトル空間 ,  線形 ,  汎関数