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・ Method Man (disambiguation)
・ Method Man (film)
・ Method Man (song)
・ Method Man discography
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・ Method Mwanjali
・ Method of analytic tableaux
・ Method of averaging
・ Method of Breathing
・ Method of characteristics
・ Method of complements
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・ Method of continued fractions
Method of continuity
・ Method of difference
・ Method of distinguished element
・ Method of exhaustion
・ Method of factors
・ Method of Fluxions
・ Method of focal objects
・ Method of Four Russians
・ Method of fundamental solutions
・ Method of Harvard Principled Negotiation
・ Method of image charges
・ Method of images
・ Method of Levels
・ Method of lines
・ Method of loci


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Method of continuity : ウィキペディア英語版
Method of continuity
In the mathematics of Banach spaces, the method of continuity provides sufficient conditions for deducing the invertibility of one bounded linear operator from that of another, related operator.
==Formulation==
Let ''B'' be a Banach space, ''V'' a normed vector space, and (L_t)_ a norm continuous family of bounded linear operators from ''B'' into ''V''. Assume that there exists a constant ''C'' such that for every t\in () and every x\in B
:||x||_B \leq C ||L_t(x)||_V.
Then L_0 is surjective if and only if L_1 is surjective as well.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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