{"published":"2015-10-12 20:36:53","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2015%2F10%2F12%2F203653\" title=\"R-\u52a0\u7fa4 - \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>","blog_url":"https://randommemory.hatenablog.com/","provider_url":"https://hatena.blog","author_name":"derwind","title":"R-\u52a0\u7fa4","description":"\u3069\u3046\u3082\u30d9\u30af\u30c8\u30eb\u7a7a\u9593\u306e\u30a4\u30e1\u30fc\u30b8\u304c\u5f37\u304f\u3066\u305f\u307e\u306b\u6238\u60d1\u3046\u304c\u3001\u4ed6\u306b\u3082\u8272\u3093\u306a\u30d1\u30bf\u30fc\u30f3\u304c\u3042\u308b\u3057\u3001\u610f\u8b58\u3092\u6b8b\u3057\u3066\u304a\u304f\u305f\u3081\u306b\u3061\u3087\u3063\u3068\u66f8\u3044\u3066\u304a\u3053\u3046\u3002\u4f8b1: $\\mathscr{H}$\u3092Hilbert\u7a7a\u9593\u3068\u3059\u308b\u3002 $M = \\mathscr{H},\\ R = \\mathbb{B}(\\mathscr{H})$\u3068\u304a\u304f\u3068\u3001$M $\u306f$R$-\u52a0\u7fa4\u306b\u306a\u308b\u3002\u4f8b2: $M = C^\\infty(\\mathbb{R}^d),\\ R = \\{ p(\\frac{\\partial}{\\partial x});\\ p:\\ \\mathrm{polynomial} \\}$\u3068\u304a\u304f\u3068\u3001$M $\u306f$R$-\u52a0\u7fa4\u306b\u306a\u308b\u3002\u30d9\u30af\u30c8\u30eb\u7a7a\u9593\u306e\u5834\u5408\u3001$R$\u306e$M \u2026","type":"rich","url":"https://randommemory.hatenablog.com/entry/2015/10/12/203653","categories":["math-alg"],"blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","author_url":"https://blog.hatena.ne.jp/derwind/","width":"100%","image_url":null,"provider_name":"Hatena Blog","version":"1.0","height":"190"}