topological vector space

English

Noun

topological vector space (plural topological vector spaces)

1. (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

• Bulgarian: линейно топологично пространство n (linejno topologično prostranstvo)