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
This article is issued from Wiktionary. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.