. . . "\u30DE\u30C3\u30AD\u30FC\u4F4D\u76F8"@ja . "In matematica, in particolare in analisi funzionale, la topologia di Mackey o topologia di Arens-Mackey, il cui nome \u00E8 dovuto a George Mackey, \u00E8 la topologia pi\u00F9 fine per uno spazio vettoriale topologico che preserva il duale continuo. In altri termini, la topologia di Mackey non rende continue funzioni lineari che sono discontinue nella topolgia di default del duale continuo. La topologia di Mackey \u00E8 l'opposto della topologia debole, che \u00E8 la topologia pi\u00F9 grezza su uno spazio vettoriale topologico che preserva la continuit\u00E0 delle funzioni lineari nel duale continuo. Il afferma che tutte le possibili sono pi\u00F9 fini della topologia debole e pi\u00F9 grezze della topolgia di Mackey."@it . . . . . . "Satz von Mackey-Arens"@de . . . . . . . . . "A.I. Shtern"@en . . "Mackey topology"@en . . . "\u51FD\u6570\u89E3\u6790\u5B66\u304A\u3088\u3073\u95A2\u9023\u3059\u308B\u6570\u5B66\u306E\u5206\u91CE\u306B\u304A\u3044\u3066\u3001\u306E\u540D\u306B\u3061\u306A\u3080\u30DE\u30C3\u30AD\u30FC\u4F4D\u76F8\uFF08\u30DE\u30C3\u30AD\u30FC\u3044\u305D\u3046\u3001\u82F1: Mackey topology\uFF09\u3068\u306F\u3001\u4F4D\u76F8\u7DDA\u578B\u7A7A\u9593\u306B\u5BFE\u3059\u308B\u4F4D\u76F8\u3067\u3001\u9023\u7D9A\u53CC\u5BFE\u3092\u4FDD\u5B58\u3059\u308B\u3082\u306E\u3067\u3042\u308B\u3002\u3059\u306A\u308F\u3061\u30DE\u30C3\u30AD\u30FC\u4F4D\u76F8\u306F\u3001\u5143\u306E\u4F4D\u76F8\u3067\u4E0D\u9023\u7D9A\u3067\u3042\u308B\u7DDA\u578B\u51FD\u6570\u3092\u9023\u7D9A\u306B\u3059\u308B\u3053\u3068\u306F\u306A\u3044\u3002 \u30DE\u30C3\u30AD\u30FC\u4F4D\u76F8\u306F\u3001\u9023\u7D9A\u53CC\u5BFE\u306B\u304A\u3044\u3066\u5168\u3066\u306E\u9023\u7D9A\u51FD\u6570\u306E\u9023\u7D9A\u6027\u3092\u4FDD\u5B58\u3059\u308B\u4F4D\u76F8\u7DDA\u578B\u7A7A\u9593\u4E0A\u306E\u4F4D\u76F8\u3067\u3042\u308B\u5F31\u4F4D\u76F8\u3068\u53CD\u5BFE\u306E\u6982\u5FF5\u3067\u3042\u308B\u3002 \u30DE\u30C3\u30AD\u30FC\uFF1D\u30A2\u30EC\u30F3\u30B9\u306E\u5B9A\u7406\u3067\u306F\u3001\u3059\u3079\u3066\u306E\u53CC\u5BFE\u4F4D\u76F8\u306F\u5F31\u4F4D\u76F8\u3088\u308A\u7D30\u304B\u304F\u3001\u30DE\u30C3\u30AD\u30FC\u4F4D\u76F8\u3088\u308A\u7C97\u3044\u3053\u3068\u304C\u793A\u3055\u308C\u3066\u3044\u308B\u3002"@ja . . "5863"^^ . . "\u51FD\u6570\u89E3\u6790\u5B66\u304A\u3088\u3073\u95A2\u9023\u3059\u308B\u6570\u5B66\u306E\u5206\u91CE\u306B\u304A\u3044\u3066\u3001\u306E\u540D\u306B\u3061\u306A\u3080\u30DE\u30C3\u30AD\u30FC\u4F4D\u76F8\uFF08\u30DE\u30C3\u30AD\u30FC\u3044\u305D\u3046\u3001\u82F1: Mackey topology\uFF09\u3068\u306F\u3001\u4F4D\u76F8\u7DDA\u578B\u7A7A\u9593\u306B\u5BFE\u3059\u308B\u4F4D\u76F8\u3067\u3001\u9023\u7D9A\u53CC\u5BFE\u3092\u4FDD\u5B58\u3059\u308B\u3082\u306E\u3067\u3042\u308B\u3002\u3059\u306A\u308F\u3061\u30DE\u30C3\u30AD\u30FC\u4F4D\u76F8\u306F\u3001\u5143\u306E\u4F4D\u76F8\u3067\u4E0D\u9023\u7D9A\u3067\u3042\u308B\u7DDA\u578B\u51FD\u6570\u3092\u9023\u7D9A\u306B\u3059\u308B\u3053\u3068\u306F\u306A\u3044\u3002 \u30DE\u30C3\u30AD\u30FC\u4F4D\u76F8\u306F\u3001\u9023\u7D9A\u53CC\u5BFE\u306B\u304A\u3044\u3066\u5168\u3066\u306E\u9023\u7D9A\u51FD\u6570\u306E\u9023\u7D9A\u6027\u3092\u4FDD\u5B58\u3059\u308B\u4F4D\u76F8\u7DDA\u578B\u7A7A\u9593\u4E0A\u306E\u4F4D\u76F8\u3067\u3042\u308B\u5F31\u4F4D\u76F8\u3068\u53CD\u5BFE\u306E\u6982\u5FF5\u3067\u3042\u308B\u3002 \u30DE\u30C3\u30AD\u30FC\uFF1D\u30A2\u30EC\u30F3\u30B9\u306E\u5B9A\u7406\u3067\u306F\u3001\u3059\u3079\u3066\u306E\u53CC\u5BFE\u4F4D\u76F8\u306F\u5F31\u4F4D\u76F8\u3088\u308A\u7D30\u304B\u304F\u3001\u30DE\u30C3\u30AD\u30FC\u4F4D\u76F8\u3088\u308A\u7C97\u3044\u3053\u3068\u304C\u793A\u3055\u308C\u3066\u3044\u308B\u3002"@ja . "Mackey topology"@en . . "Topologia di Mackey"@it . "Der Satz von Mackey-Arens (nach George Mackey und Richard Friederich Arens) ist ein mathematischer Satz aus der Funktionalanalysis, genauer aus der Theorie der lokalkonvexen R\u00E4ume. Der Satz von Mackey-Arens behandelt die Frage, in welchen Topologien bestimmte wichtige Abbildungen stetig sind. Genauer sei ein lokalkonvexer Raum mit einer Topologie gegeben. Dann betrachtet man den Dualraum E' der bez\u00FCglich stetigen, linearen Funktionale auf . Die Frage ist nun, welche weiteren lokalkonvexen Topologien auf zu denselben stetigen, linearen Funktionalen wie f\u00FChren. Solche Topologien hei\u00DFen zul\u00E4ssig. Es stellt sich heraus, dass es eine schw\u00E4chste und eine st\u00E4rkste zul\u00E4ssige Topologie gibt."@de . . "In functional analysis and related areas of mathematics, the Mackey topology, named after George Mackey, is the finest topology for a topological vector space which still preserves the continuous dual. In other words the Mackey topology does not make linear functions continuous which were discontinuous in the default topology. A topological vector space (TVS) is called a Mackey space if its topology is the same as the Mackey topology. The Mackey\u2013Arens theorem states that all possible dual topologies are finer than the weak topology and coarser than the Mackey topology."@en . . . . . . . . . . . . . . . . . . . "Der Satz von Mackey-Arens (nach George Mackey und Richard Friederich Arens) ist ein mathematischer Satz aus der Funktionalanalysis, genauer aus der Theorie der lokalkonvexen R\u00E4ume. Der Satz von Mackey-Arens behandelt die Frage, in welchen Topologien bestimmte wichtige Abbildungen stetig sind. Es stellt sich heraus, dass es eine schw\u00E4chste und eine st\u00E4rkste zul\u00E4ssige Topologie gibt."@de . . "1790627"^^ . . . . "In functional analysis and related areas of mathematics, the Mackey topology, named after George Mackey, is the finest topology for a topological vector space which still preserves the continuous dual. In other words the Mackey topology does not make linear functions continuous which were discontinuous in the default topology. A topological vector space (TVS) is called a Mackey space if its topology is the same as the Mackey topology. The Mackey topology is the opposite of the weak topology, which is the coarsest topology on a topological vector space which preserves the continuity of all linear functions in the continuous dual. The Mackey\u2013Arens theorem states that all possible dual topologies are finer than the weak topology and coarser than the Mackey topology."@en . . "1108339176"^^ . . . "In matematica, in particolare in analisi funzionale, la topologia di Mackey o topologia di Arens-Mackey, il cui nome \u00E8 dovuto a George Mackey, \u00E8 la topologia pi\u00F9 fine per uno spazio vettoriale topologico che preserva il duale continuo. In altri termini, la topologia di Mackey non rende continue funzioni lineari che sono discontinue nella topolgia di default del duale continuo. La topologia di Mackey \u00E8 l'opposto della topologia debole, che \u00E8 la topologia pi\u00F9 grezza su uno spazio vettoriale topologico che preserva la continuit\u00E0 delle funzioni lineari nel duale continuo."@it . . . . . . "M/m062080"@en . . . . . . . .