Banach algebra

noun

An associative algebra over the real or complex numbers (or over a non-Archimedean complete normed field) that is also a Banach space.

Meanings

nounBanach algebra (plural Banach algebras)

plural Banach algebras

  1. mathematicsAn associative algebra over the real or complex numbers (or over a non-Archimedean complete normed field) that is also a Banach space.

Origin

Named after Stefan Banach.

Full word history & related roots →
Cite this entry
APA

Banach algebra. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Banach%20algebra

MLA

“Banach algebra.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Banach%20algebra. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Banach algebra,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Banach%20algebra.

Source: Banach algebra on Wiktionary, CC BY-SA 4.0.