Phrase guide

topological vector space

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

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1

noun

Meaning 1

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.

Definition source: English Wiktionary via Wiktextract

Qualifier: functional analysis

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

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Across languages

Translations

1 source translations are retained for this English entry.

  • Bulgarian: линейно топологично пространство (linejno topologično prostranstvo) — vector space over a topological field