{"blog_url":"https://randommemory.hatenablog.com/","version":"1.0","provider_name":"Hatena Blog","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","categories":["math-functional-ncg"],"html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2016%2F01%2F22%2F031941\" title=\"\u975e\u53ef\u63db\u5e7e\u4f55\u3068Gelfand duality(2) - \u3089\u3093\u3060\u3080\u306a\u8a18\u61b6\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","author_url":"https://blog.hatena.ne.jp/derwind/","published":"2016-01-22 03:19:41","type":"rich","provider_url":"https://hatena.blog","description":"Theorem 1.1.1 (Gelfand-Naimark Theorem) \u4efb\u610f\u306e $C^*$ -\u4ee3\u6570 $A$ \u3068\u30b9\u30da\u30af\u30c8\u30eb(\u6307\u6a19\u306e\u306a\u3059\u96c6\u5408\u306b\u6c4e\u5f31\u4f4d\u76f8\u3092\u5165\u308c\u305f\u3082\u306e) $\\widehat{A}$ \u306b\u5bfe\u3057\u3066\u3001Gelfand \u5909\u63db \\begin{equation} \\Gamma: A \\to C_0(\\widehat{A}),\\hspace{1.5em} a \\mapsto \\widehat{a} \\end{equation}\u306f $C^*$ -\u4ee3\u6570\u540c\u58eb\u306e\u540c\u578b\u5199\u50cf\u3067\u3042\u308b ${}_\\square$\u30c7\u30ea\u30b1\u30fc\u30c8\u306a\u6642\u4ee3\u306b\u767a\u8868\u3055\u308c\u305f\u4f5c\u7528\u7d20\u74b0\u8ad6\u306e\u57fa\u672c\u7684\u3067\u91cd\u8981\u306a\u5b9a\u7406\u3067\u3042\u308b\u3002\u975e\u53ef\u63db\u5e7e\u4f55\u3068Gelfand duali\u2026","image_url":null,"width":"100%","height":"190","title":"\u975e\u53ef\u63db\u5e7e\u4f55\u3068Gelfand duality(2)","author_name":"derwind","url":"https://randommemory.hatenablog.com/entry/2016/01/22/031941"}