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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Decomposition of spectrum (functional analysis) ： ウィキペディア英語版 Decomposition of spectrum (functional analysis) The spectrum of a linear operator $T$ that operates on a Banach space $X$ (a fundamental concept of functional analysis) consists of all scalars $\backslash lambda$ such that the operator $T-\backslash lambda$ does not have a bounded inverse on $X$. The spectrum has a standard decomposition into three parts: * a point spectrum, consisting of the eigenvalues of $T$ * a continuous spectrum, consisting of the scalars that are not eigenvalues but make the range of $T-\backslash lambda$ a proper dense subset of the space; * a residual spectrum, consisting of all other scalars in the spectrum This decomposition is relevant to the study of differential equations, and has applications to many branches of science and engineering. A well-known example from quantum mechanics is the explanation for the discrete spectral lines and the continuous band in the light emitted by excited atoms of hydrogen. == Definitions == 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「Decomposition of spectrum (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.