翻訳と辞書 Words near each other ・ Cotinis sphyracera ・ Cotinis subviolacea ・ Cotinis viridicyanea ・ Cotinus ・ Cotinus coggygria ・ Cotinus obovatus ・ Cotinusa ・ Cotiote War ・ Cotiporã ・ Cotiso ・ Cotiujeni ・ Cotiujenii Mari ・ Cotiujenii Mici ・ Cotkytle ・ COTL1 ・ Cotlar–Stein lemma ・ Cotleigh ・ Cotler ・ Cotley Castle ・ Cotley River ・ Cotman v Brougham ・ Cotman's Ash ・ Cotmanhay ・ Cotmeana ・ Cotmeana River ・ COTN ・ Cotnari ・ Cotnari River ・ Cotner College ・ Cotness 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 Cotlar–Stein lemma ： ウィキペディア英語版 Cotlar–Stein lemma In mathematics, in the field of functional analysis, the Cotlar–Stein almost orthogonality lemma is named after mathematicians Mischa Cotlar and Elias Stein. It may be used to obtain information on the operator norm on an operator, acting from one Hilbert space into another when the operator can be decomposed into ''almost orthogonal'' pieces. The original version of this lemma (for self-adjoint and mutually commuting operators) was proved by Mischa Cotlar in 1955 and allowed him to conclude that the Hilbert transform is a continuous linear operator in $L^2$ without using the Fourier transform. A more general version was proved by Elias Stein. ==Cotlar–Stein almost orthogonality lemma== Let $E,\backslash ,F$ be two Hilbert spaces. Consider a family of operators $T\_j$, $j\backslash ge\; 1$, with each $T\_j$ a bounded linear operator from $E$ to $F$. Denote : $a\_=\backslash Vert\; T\_j\; T\_k^\backslash ast\backslash Vert,$ \qquad b_=\Vert T_j^\ast T_k\Vert. The family of operators $T\_j:\backslash ;E\backslash to\; F$, $j\backslash ge\; 1,$ is ''almost orthogonal'' if :$A=\backslash sup\_\backslash sum\_\backslash sqrt\backslash sum\_\backslash sqrtT\_j$ converges in the strong operator topology, and that :$\backslash Vert\; \backslash sum\_T\_j\backslash Vert\; \backslash le\backslash sqrt.$ 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「Cotlar–Stein lemma」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.