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topological vector space
From Wiktionary, the free dictionary
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English
Noun
topological vector space (plural topological vector spaces)
- (functional analysis) A vector space over a topological field endowed with a topology (often the real or complex numbers with standard topology) such that vector addition and scalar multiplication are continuous functions.
Synonyms
- (vector space with topology such that addition and scalar multiplication are continuous): linear topological space
Translations
vector space over a topological field
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