Meanings
plural Haar spaces
- approximation theoryA finite-dimensional subspace V of π(X, π), where X is a compact space and π either the real numbers or the complex numbers, such that for any given fβπ(X, π) there is exactly one element of V that approximates f "best", i.e. with minimum distance to f in supremum norm.
Synonyms: Chebyshev space
Synonyms & antonyms
nounA finite-dimensional subspace V of π(X, π), where X is a compact space and π either the real numbers or the complex numbers, such that for any given fβπ(X, π) there is exactly one element of V that approximates f "best", i.e. with minimum distance to f in supremum norm.
Origin
Named after Hungarian mathematician AlfrΓ©d Haar.
Full word history & related roots βCite this entry
Haar space. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/Haar%20space
βHaar space.β WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Haar%20space. Accessed November 3, 2026.
WatkinsX Dictionary, s.v. βHaar space,β accessed November 3, 2026, https://dictionary.watkinsx.com/word/Haar%20space.
Source: Haar space on Wiktionary, CC BY-SA 4.0.