{"author_url":"https://blog.hatena.ne.jp/derwind/","description":"Amazon.co.jp\uff1a C*-Algebras and Operator Theory: Gerald J. Murphy: \u6d0b\u66f8\u304b\u3089\u5fc5\u8981\u306a\u3068\u3053\u3092\u629c\u7c8b\u3002\u624b\u77ed\u306b\u306a\u308b\u3088\u3046\u306b\u5168\u90e8\u3081\u3061\u3083\u304f\u3061\u3083\u304d\u3064\u3044\u8a2d\u5b9a\u3067\u3002 Definition (\u30b9\u30da\u30af\u30c8\u30eb\u534a\u5f84) $A$ \u3092\u5358\u4f4d\u7684$C^*$-\u4ee3\u6570\u3068\u3057\u3001$a \\in A$ \u3068\u3059\u308b\u3002\u3053\u306e\u6642\u3001 $$\\mathrm{r}(a) = \\sup_{\\lambda \\in \\sigma(a)}|\\lambda|$$\u3092 $a$ \u306e\u30b9\u30da\u30af\u30c8\u30eb\u534a\u5f84\u3068\u8a00\u3046${}_\\square$ 1.2.7. Theorem (Beurling) $A$ \u3092\u5358\u4f4d\u7684$C^*$-\u4ee3\u6570\u3068\u3057\u3001$a \\in \u2026","url":"https://randommemory.hatenablog.com/entry/2016/01/20/023540","provider_url":"https://hatena.blog","categories":["math-functional-operator"],"blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","title":"C*-\u4ee3\u6570\u3068*-\u6e96\u540c\u578b","provider_name":"Hatena Blog","published":"2016-01-20 02:35:40","width":"100%","version":"1.0","height":"190","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2016%2F01%2F20%2F023540\" title=\"C*-\u4ee3\u6570\u3068*-\u6e96\u540c\u578b - \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>","type":"rich","author_name":"derwind","image_url":null,"blog_url":"https://randommemory.hatenablog.com/"}