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・ Dense Inert Metal Explosive
・ Dense irregular connective tissue
・ Dense non-aqueous phase liquid
・ Dense order
・ Dense Pack
・ Dense plasma focus
・ Dense regular connective tissue
・ Dense set
・ Dense subgraph
・ Dense submodule
・ Dense Time
・ Dense-in-itself
・ Dense-rock equivalent
・ Dense-scale lantern shark
・ Denseisha
Densely defined operator
・ Densely packed decimal
・ Densen Audio Technologies
・ Densen Uta
・ Densetsu no Shōjo
・ Densetsu no Stafy (video game)
・ Densetsu no Stafy 2
・ Densetsu no Stafy 3
・ Densetsu no Stafy 4
・ Densey Clyne
・ Densha de Go!
・ Densha de Go! 64
・ Densha Otoko
・ Densha Otoko (film)
・ Densha Otoko (TV series)


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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)
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