島根大学理学部紀要

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島根大学理学部紀要 16
1982-12-25 発行

積空間上のゲーム的汎関数

Gamonic Functionals on a Product Space
村上 温
山﨑 稀嗣
ファイル
内容記述(抄録等)
This paper is concerned with a gamonic functional on the space of continuous functions defined on the product of two compact Hausdorff spaces. Some componentwise properties of the gamonic functional are discussed with its projective gamonic functionals. Symmetric properties of the gamonic functional are also studied from the viewpoint of componentwise sum and product. A new gamonic functional is generated by means of projective gamonic functionals and a set-to-set mapping.