翻訳と辞書 Words near each other ・ Compressed magnetic flux generator ・ Compressed natural gas ・ Compressed pattern matching ・ Compressed sensing ・ Compressed sensing in speech signals ・ Compressed suffix array ・ Compressed-air vehicle ・ Compressibility ・ Compressibility equation ・ Compressibility factor ・ Compressible duct flow ・ Compressible flow ・ Compression ・ Compression (album) ・ Compression (astronomy) ・ Compression (functional analysis) ・ Compression (geology) ・ Compression (physics) ・ Compression arthralgia ・ Compression artifact ・ Compression body ・ Compression driver ・ Compression fitting ・ Compression fossil ・ Compression garment ・ Compression lift ・ Compression lock ・ Compression member ・ Compression molding ・ Compression Networks 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 Compression (functional analysis) ： ウィキペディア英語版 Compression (functional analysis) In functional analysis, the compression of a linear operator ''T'' on a Hilbert space to a subspace ''K'' is the operator :$P\_K\; T\; \backslash vert\_K\; :\; K\; \backslash rightarrow\; K$, where $P\_K\; :\; H\; \backslash rightarrow\; K$ is the orthogonal projection onto ''K''. This is a natural way to obtain an operator on ''K'' from an operator on the whole Hilbert space. If ''K'' is an invariant subspace for ''T'', then the compression of ''T'' to ''K'' is the restricted operator ''K→K'' sending ''k'' to ''Tk''. More generally, for a linear operator ''T'' on a Hilbert space $H$ and an isometry ''V'' on a subspace $W$ of $H$, define the compression of ''T'' to $W$ by :$T\_W\; =\; V^$ *TV : W \rightarrow W, where $V^$ * is the adjoint of ''V''. If ''T'' is a self-adjoint operator, then the compression $T\_W$ is also self-adjoint. When ''V'' is replaced by the identity function $I:\; W\; \backslash to\; H$, $V^$ * = I^ *=P_K : H \to W, and we acquire the special definition above. ==See also== * Dilation 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「Compression (functional analysis)」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.