{"blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","published":"2015-08-16 12:33:32","type":"rich","description":"\u51fd\u6570\u89e3\u6790\u306e3\u5927\u539f\u7406\u306e1\u3064\u306b\u300c\u958b\u5199\u50cf\u5b9a\u7406 (Open mapping theorem)\u300d\u3068\u3044\u3046\u306e\u304c\u3042\u308b\u306e\u3067\u3001\u305d\u306e\u30e1\u30e2\u3092\u6b8b\u3057\u3066\u307f\u305f\u3044\u3002 \u5b9a\u7406(\u958b\u5199\u50cf\u5b9a\u7406) $\\mathfrak{X},\\ \\mathfrak{Y}$\u3092Banach\u7a7a\u9593\u3068\u3059\u308b\u3002$T \\in \\mathscr{L}(\\mathfrak{X},\\ \\mathfrak{Y})$\u3092$R(T) = \\mathfrak{Y}$\u3092\u6e80\u305f\u3059\u3088\u3046\u306a\u9023\u7d9a\u7dda\u578b\u4f5c\u7528\u7d20\u3068\u3059\u308b\u3002 \u3053\u306e\u6642\u3001$T$\u306f\u958b\u5199\u50cf($A$\u304c$\\mathfrak{X}$\u306e\u958b\u96c6\u5408\u306a\u3089$T(A)$\u306f$\\mathfrak{Y}$\u306e\u958b\u96c6\u5408)\u3067\u3042\u308b\u3002${}_\\square$Baire\u306e\u30ab\u30c6\u30b4\u30ea\u30fc\u5b9a\u7406\u3068\u3044\u2026","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2015%2F08%2F16%2F123332\" title=\"\u958b\u5199\u50cf\u5b9a\u7406\u4e91\u3005 - \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>","height":"190","author_name":"derwind","title":"\u958b\u5199\u50cf\u5b9a\u7406\u4e91\u3005","version":"1.0","image_url":null,"url":"https://randommemory.hatenablog.com/entry/2015/08/16/123332","width":"100%","categories":["math-functional"],"provider_name":"Hatena Blog","blog_url":"https://randommemory.hatenablog.com/","author_url":"https://blog.hatena.ne.jp/derwind/","provider_url":"https://hatena.blog"}