. . . "4850"^^ . . . "15089522"^^ . . . "\u6570\u5B66\u306E\u4E00\u5206\u91CE\u3001\u570F\u8AD6\u306B\u304A\u3051\u308B\u4F4D\u76F8\u7DDA\u578B\u7A7A\u9593\u306E\u570F\uFF08\u3044\u305D\u3046\u305B\u3093\u3051\u3044\u304F\u3046\u304B\u3093\u306E\u3051\u3093\u3001\u82F1: category of topological vector spaces\uFF09TVect\uFF08\u3042\u308B\u3044\u306F TVS \u306A\u3069\u3068\u3082\u66F8\u304F\uFF09\u306F\u3001\u3059\u3079\u3066\u306E\u4F4D\u76F8\u7DDA\u578B\u7A7A\u9593\u3092\u5BFE\u8C61\u3068\u3057\u3001\u3059\u3079\u3066\u306E\u9023\u7D9A\u7DDA\u578B\u5199\u50CF\u3092\u5C04\u3068\u3059\u308B\u570F\u3067\u3042\u308B\u3002\u3053\u308C\u304C\u570F\u3092\u6210\u3059\u306E\u306F\u3001\u4E8C\u3064\u306E\u9023\u7D9A\u7DDA\u578B\u5199\u50CF\u306E\u5408\u6210\u304C\u3075\u305F\u305F\u3073\u9023\u7D9A\u7DDA\u578B\u3068\u306A\u308B\u3053\u3068\u306B\u3088\u308B\u3002 \u4F4D\u76F8\u4F53 K \u3092\u4E00\u3064\u56FA\u5B9A\u3057\u3066\u3001K \u4E0A\u306E\u4F4D\u76F8\u7DDA\u578B\u7A7A\u9593\u304C\u9023\u7D9A K-\u7DDA\u578B\u5199\u50CF\u3092\u5C04\u3068\u3057\u3066\u306A\u3059\uFF08\u90E8\u5206\uFF09\u570F TVectK \u3092\u8003\u3048\u308B\u3053\u3068\u3082\u3067\u304D\u308B\u3002"@ja . . . . "In mathematics, the category of topological vector spaces is the category whose objects are topological vector spaces and whose morphisms are continuous linear maps between them. This is a category because the composition of two continuous linear maps is again a continuous linear map. The category is often denoted TVect or TVS. Fixing a topological field K, one can also consider the subcategory TVectK of topological vector spaces over K with continuous K-linear maps as the morphisms."@en . . . . . . . . . . "Category of topological vector spaces"@en . . . . . . . . "1071179856"^^ . . "\u4F4D\u76F8\u7DDA\u578B\u7A7A\u9593\u306E\u570F"@ja . . . . . . . . . . "In mathematics, the category of topological vector spaces is the category whose objects are topological vector spaces and whose morphisms are continuous linear maps between them. This is a category because the composition of two continuous linear maps is again a continuous linear map. The category is often denoted TVect or TVS. Fixing a topological field K, one can also consider the subcategory TVectK of topological vector spaces over K with continuous K-linear maps as the morphisms."@en . . . . "\u6570\u5B66\u306E\u4E00\u5206\u91CE\u3001\u570F\u8AD6\u306B\u304A\u3051\u308B\u4F4D\u76F8\u7DDA\u578B\u7A7A\u9593\u306E\u570F\uFF08\u3044\u305D\u3046\u305B\u3093\u3051\u3044\u304F\u3046\u304B\u3093\u306E\u3051\u3093\u3001\u82F1: category of topological vector spaces\uFF09TVect\uFF08\u3042\u308B\u3044\u306F TVS \u306A\u3069\u3068\u3082\u66F8\u304F\uFF09\u306F\u3001\u3059\u3079\u3066\u306E\u4F4D\u76F8\u7DDA\u578B\u7A7A\u9593\u3092\u5BFE\u8C61\u3068\u3057\u3001\u3059\u3079\u3066\u306E\u9023\u7D9A\u7DDA\u578B\u5199\u50CF\u3092\u5C04\u3068\u3059\u308B\u570F\u3067\u3042\u308B\u3002\u3053\u308C\u304C\u570F\u3092\u6210\u3059\u306E\u306F\u3001\u4E8C\u3064\u306E\u9023\u7D9A\u7DDA\u578B\u5199\u50CF\u306E\u5408\u6210\u304C\u3075\u305F\u305F\u3073\u9023\u7D9A\u7DDA\u578B\u3068\u306A\u308B\u3053\u3068\u306B\u3088\u308B\u3002 \u4F4D\u76F8\u4F53 K \u3092\u4E00\u3064\u56FA\u5B9A\u3057\u3066\u3001K \u4E0A\u306E\u4F4D\u76F8\u7DDA\u578B\u7A7A\u9593\u304C\u9023\u7D9A K-\u7DDA\u578B\u5199\u50CF\u3092\u5C04\u3068\u3057\u3066\u306A\u3059\uFF08\u90E8\u5206\uFF09\u570F TVectK \u3092\u8003\u3048\u308B\u3053\u3068\u3082\u3067\u304D\u308B\u3002"@ja . . . . .