翻訳と辞書 Words near each other ・ Dirhinosia arnoldiella ・ Dirhinosia cervinella ・ Dirhinosia nitidula ・ Dirhinosia unifasciella ・ Diri ak djon djon ・ Diri Baba Mausoleum ・ Diri language ・ Diria ・ Diria National Park ・ Diriamba ・ Diriangen ・ Diriangén FC ・ Diriba Kuma ・ Diribitorium ・ Dirichlet (crater) ・ Dirichlet algebra ・ Dirichlet beta function ・ Dirichlet boundary condition ・ Dirichlet character ・ Dirichlet conditions ・ Dirichlet convolution ・ Dirichlet density ・ Dirichlet distribution ・ Dirichlet eigenvalue ・ Dirichlet eta function ・ Dirichlet form ・ Dirichlet integral ・ Dirichlet kernel ・ Dirichlet L-function ・ Dirichlet problem Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Dirichlet algebra ： ウィキペディア英語版 Dirichlet algebra In mathematics, a Dirichlet algebra is a particular type of algebra associated to a compact Hausdorff space ''X''. It is a closed subalgebra of ''C''(''X''), the uniform algebra of bounded continuous functions on ''X'', whose real parts are dense in the algebra of bounded continuous real functions on ''X''. The concept was introduced by . ==Example== Let $\backslash mathcal(X)$ be the set of all rational functions that are continuous on $X$; in other words functions that have no poles in $X$. Then :$\backslash mathcal\; =\; \backslash mathcal(X)\; +\; \backslash bar$ is a *-subalgebra of $C(X)$, and of $C\backslash left(\backslash partial\; X\backslash right)$. If $\backslash mathcal$ is dense in $C\backslash left(\backslash partial\; X\backslash right)$, we say $\backslash mathcal(X)$ is a Dirichlet algebra. It can be shown that if an operator $T$ has $X$ as a spectral set, and $\backslash mathcal(X)$ is a Dirichlet algebra, then $T$ has a normal boundary dilation. This generalises Sz.-Nagy's dilation theorem, which can be seen as a consequence of this by letting :$X=\backslash mathbb.$ 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Dirichlet algebra」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.