Memoirs of the Faculty of Science, Shimane University

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Memoirs of the Faculty of Science, Shimane University 16
1982-12-25 発行

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Gamonic Functionals on a Product Space
Murakami, Atsushi
Yamasaki, Maretsugu
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Description
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.