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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 be a linear operator with domain . Let id denote the identity operator on ''X''. For any , let : is said to be a regular value if , the inverse operator to # 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'': : The spectrum is the complement of the resolvent set: : 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
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