| 翻訳と辞書 |
| densely defined operator ： ウィキペディア英語版 |
densely defined operator
In mathematics — specifically, in operator theory — a densely defined operator or partially defined operator is a type of partially defined function. In a topological sense, it is a linear operator that is defined "almost everywhere". Densely defined operators often arise in functional analysis as operations that one would like to apply to a larger class of objects than those for which they ''a priori'' "make sense".
==Definition==
A densely defined linear operator ''T'' from one topological vector space, ''X'', to another one, ''Y'', is a linear operator that is defined on a dense linear subspace dom(''T'') of ''X'' and takes values in ''Y'', written ''T'' : dom(''T'') ⊆ ''X'' → ''Y''. Sometimes this is abbreviated as ''T'' : ''X'' → ''Y'' when the context makes it clear that ''X'' might not be the set-theoretic domain of ''T''.
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「densely defined operator」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.
|
|