{"id":481,"date":"2013-12-17T08:28:59","date_gmt":"2013-12-16T23:28:59","guid":{"rendered":"http:\/\/www.math-konami.com\/blog\/?p=481"},"modified":"2013-12-17T07:43:54","modified_gmt":"2013-12-16T22:43:54","slug":"%e3%80%90%e6%80%9d%e3%81%84%e5%87%ba%e8%a9%b1%e3%80%91dieudonne-foundations-of-modern-analysis","status":"publish","type":"post","link":"http:\/\/www.math-konami.com\/blog\/?p=481","title":{"rendered":"\u3010\u601d\u3044\u51fa\u8a71\u3011Dieudonne, Foundations of Modern Analysis"},"content":{"rendered":"

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\n\u82f1\u8a9e\u306e\u5148\u751f\u306b\u3088\u308b\u3082\u306e\u3067\u306f\u306a\u304f\uff0c
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\u3067\uff0c\u591a\u304f\u306e\u5148\u751f\u304c\u8aad\u307f\u7269\u98a8\u306e\u6587\u7ae0\u3092\u6559\u6750\u306b\u3057\u307e\u3057\u305f\u304c\uff0c
\nS\u5148\u751f\u306f\u8868\u984c\u306e\uff0c
\n\u3000Dieudonne, Foundations of Modern Analysis\uff0cAcademic Press, 1960
\n\u3092\u4f7f\u308f\u308c\u305f\u306e\u3067\u3057\u305f\u3002<\/p>\n

<\/p>\n

\u305d\u3093\u306a\u3053\u3068\u3082\u3042\u3063\u3066\u304b\uff0c\u5b66\u90e8\u306e\u6570\u5b66\u4ee5\u5916\u306e\u5b66\u751f\u3082\u591a\u304f\u767b\u9332\u3057\u3066\u3044\u305f\u306f\u305a\u306a\u306e\u3067\u3059\u304c\uff0c
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\u3067\uff0c1\u56de\u76ee\u306b\u8ab0\u304c\u6700\u521d\u306b\u30ec\u30dd\u30fc\u30c8\u3059\u308b\u304b\uff0c\u306e\u62c5\u5f53\u304e\u3081\u304c\u3042\u308a\u307e\u3057\u305f\u304c\uff0c
\n\u4eca\u3067\u3082\u305d\u3046\u3067\u3059\u304c\uff0c\u8ab0\u3082\u306a\u304b\u306a\u304b\u624b\u3092\u3042\u3052\u3088\u3046\u3068\u3057\u307e\u305b\u3093\u3067\u3057\u305f\u3002
\n\u305d\u3093\u306a\u3068\u304d\u306b\u306f\u304a\u3063\u3061\u3087\u3053\u3061\u3087\u3044\u306e\u79c1\u306f\u3059\u3050\u306b\u624b\u3092\u6319\u3052\u308b\u3053\u3068\u304c\u591a\u3044\u3088\u3046\u3067\u3059\u3002
\n\u3053\u306e\u3068\u304d\u3082\u305d\u3046\u3067\uff0c\u30c8\u30c3\u30d7\u30d0\u30c3\u30bf\u30fc\u306f\u79c1\u304c\u52d9\u3081\u308b\u3053\u3068\u306b\u306a\u308a\uff0c
\n2\u56de\u76ee\u306e\u6388\u696d\u3067\u8a33\u3092\u8a71\u3057\u59cb\u3081\u307e\u3057\u305f\u3002<\/p>\n

\u3059\u308b\u3068\u5148\u751f\u304b\u3089
\n\u300c\u541b\uff0c\u4f55\u3092\u3084\u3063\u3066\u3044\u308b\u3093\u3067\u3059\u304b\uff1f
\n\u8a33\u306f\u3044\u3044\u304b\u3089\u4f55\u304c\u66f8\u3044\u3066\u3042\u308b\u306e\u304b\u8aac\u660e\u3057\u306a\u3055\u3044\u300d
\n\u3068\u3055\u3063\u305d\u304f\u306e\u30c4\u30c3\u30b3\u30df\u304c\u3042\u308a\u307e\u3057\u305f\u3002<\/p>\n

\u6388\u696d\u3067\u306f\u7b2c5\u7ae0\u306e Normed Spaces \u304b\u3089\u8aad\u307f\u59cb\u3081\u305f\u306e\u3067\u3059\u304c\uff0c
\n\u7b2c1\u7bc0 Normed spaces and Banach spaces \u306f<\/p>\n


\nIn this and the following chapters, when we speak of a <\/em>vector space,
\n we always mean a vector space (of finite or infinite dimension)
\nover the field of real numbers <\/em> or over the field of complex numbers
\n(such a space being respectively called <\/em> real and <\/em> complex vector space);<\/em>\n<\/p><\/blockquote>\n

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\n\u9ad8\u6821\u306e\u3068\u304d\u306b\u611f\u3058\u305f
\n\u300c\u8aac\u660e\u3059\u308b\u3053\u3068\u3067\u7406\u89e3\u304c\u6df1\u307e\u308b\u300d
\n\u3068\u3044\u3046\u3053\u3068\u3092\u518d\u3073\u5b9f\u611f\u3057\u307e\u3057\u305f\u3002<\/p>\n

\u3053\u3093\u306a\u308f\u3051\u30671\u56de\u76ee\u306e\u767a\u8868\u306f\u6563\u3005\u3067\u3057\u305f\u3002<\/p>\n

\u3067\uff0c\u540c\u7d1a\u751f\u3068\u304b\u305f\u3089\u3063\u3066\uff0c\u30b5\u30d6\u30bc\u30df\u3068\u547c\u3070\u308c\u308bS\u5148\u751f\u306e\u6388\u696d\u5bfe\u7b56\u306e\u6642\u9593\u3092\u4f5c\u308a\u307e\u3057\u305f\u3002
\n\u601d\u3048\u3070\u3053\u308c\u304c\u30bc\u30df\u3068\u3044\u3046\u5f62\u3067\u540c\u7d1a\u751f\u3068\u52c9\u5f37\u3057\u3066\u3044\u304f\u6700\u521d\u306e\u3053\u3068\u3067\u3057\u305f\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

\u5927\u5b662\u5e74\u306e\u3068\u304d\u306e\u5c02\u9580\u5916\u56fd\u8a9e\u3068\u3044\u3046\u6388\u696d\u304c\u3042\u308a\u307e\u3057\u305f\u3002 \u82f1\u8a9e\u306e\u5148\u751f\u306b\u3088\u308b\u3082\u306e\u3067\u306f\u306a\u304f\uff0c \u6570\u5b66\u306a\u3089\u6570\u5b66\uff0c\u7269\u7406\u306a\u3089\u7269\u7406\u306e\u5148\u751f\u304c\u62c5\u5f53\u3059\u308b\u5916\u66f8\u8cfc\u8aad\u306e\u6388\u696d\u3067\u3057\u305f\u3002 \u3067\uff0c\u591a\u304f\u306e\u5148\u751f\u304c\u8aad\u307f\u7269\u98a8\u306e\u6587\u7ae0\u3092\u6559\u6750\u306b\u3057\u307e\u3057\u305f\u304c\uff0c S\u5148\u751f\u306f\u8868\u984c\u306e\uff0c … \u7d9a\u304d\u3092\u8aad\u3080 →<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[53,42,153],"tags":[163,162],"_links":{"self":[{"href":"http:\/\/www.math-konami.com\/blog\/index.php?rest_route=\/wp\/v2\/posts\/481"}],"collection":[{"href":"http:\/\/www.math-konami.com\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.math-konami.com\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.math-konami.com\/blog\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.math-konami.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=481"}],"version-history":[{"count":15,"href":"http:\/\/www.math-konami.com\/blog\/index.php?rest_route=\/wp\/v2\/posts\/481\/revisions"}],"predecessor-version":[{"id":851,"href":"http:\/\/www.math-konami.com\/blog\/index.php?rest_route=\/wp\/v2\/posts\/481\/revisions\/851"}],"wp:attachment":[{"href":"http:\/\/www.math-konami.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=481"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.math-konami.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=481"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.math-konami.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=481"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}