翻訳と辞書 Words near each other ・ Resolve ・ Resolve (Lagwagon album) ・ Resolve (song) ・ Resolve Uganda ・ Resolved (film) ・ Resolved sideband cooling ・ Resolved White ・ Resolven ・ Resolven (electoral ward) ・ Resolven (ship) ・ Resolven RFC ・ Resolvent ・ Resolvent (Galois theory) ・ Resolvent cubic ・ Resolvent formalism ・ Resolvent set ・ Resolver ・ Resolver (electrical) ・ Resolver (Shinhwa album) ・ Resolver (Veruca Salt album) ・ Resolver One ・ Resolvin ・ Resolving Contradictions ・ Resolving power ・ Resolza ・ RESON ・ Resona Holdings ・ Resonance ・ Resonance (Anathema album) ・ Resonance (Antigama album) 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 Resolvent set ： ウィキペディア英語版 Resolvent set In linear algebra and operator theory, the resolvent set of a linear operator is a set of complex numbers for which the operator is in some sense "well-behaved". The resolvent set plays an important role in the resolvent formalism. ==Definitions== Let ''X'' be a Banach space and let $L\backslash colon\; D(L)\backslash rightarrow\; X$ be a linear operator with domain $D(L)\; \backslash subseteq\; X$. Let id denote the identity operator on ''X''. For any $\backslash lambda\; \backslash in\; \backslash mathbb$, let :$L\_\; =\; L\; -\; \backslash lambda\; \backslash mathrm.$ $\backslash lambda$ is said to be a regular value if $R(\backslash lambda,\; L)$, the inverse operator to $L\_\backslash lambda$ # exists; # is a bounded linear operator; # is defined on a dense subspace of ''X''. The resolvent set of ''L'' is the set of all regular values of ''L'': :$\backslash rho\; (L)\; =\; \backslash \; L\; \backslash \}.$ The spectrum is the complement of the resolvent set: :$\backslash sigma\; (L)\; =\; \backslash mathbb\; \backslash setminus\; \backslash rho\; (L).$ The spectrum can be further decomposed into the point/discrete spectrum (where condition 1 fails), the continuous spectrum (where conditions 1 and 3 hold but condition 2 fails) and the residual/compression spectrum (where condition 1 holds but condition 3 fails). 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「Resolvent set」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.