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Strongly measurable functions : ウィキペディア英語版 | Strongly measurable functions ''Strong measurability'' has a number of different meanings, some of which are explained below. ==Values in Banach spaces== For a function ''f'' with values in a Banach space (or Fréchet space), ''strong measurability'' usually means Bochner measurability. However, if the values of ''f'' lie in the space of continuous linear operators from ''X'' to ''Y'', then often ''strong measurability'' means that the operator ''f(x)'' is Bochner measurable for each , whereas the Bochner measurability of ''f'' is called ''uniform measurability'' (cf. "uniformly continuous" vs. "strongly continuous").
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「Strongly measurable functions」の詳細全文を読む
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