Word Pronunciation & Dictionary

banach space

Word Rarity Very rare

Frequency: Zipf frequency 2.41 in modern English

Syllables: ba-nach s-pace
IPA

22

Scrabble Score

11

Letters

3

Syllables

8

Unique Chars

Meaning

noun

A normed vector space which is complete with respect to the norm, meaning that Cauchy sequences have well-defined limits that are points in the space.

Example Sentences

"1962 [Prentice-Hall], Kenneth Hoffman, Banach Spaces of Analytic Functions, 2007, Dover, page 138, Before taking up the extreme points for H¹ and H ᪲, let us make a few elementary observations about the unit ball Σ in the Banach space X."
"Already in these cases there is convergence in Banach spaces that are not only infinite-dimensional but nonseparable."

Etymology

Named after Polish mathematician Stefan Banach (1892–1945).

Inflected Forms

Banach spaces (plural)

Phrases

Hilbert space

Frequently Paired Words

Hilbert space

Questions

What does banach space mean?: A normed vector space which is complete with respect to the norm, meaning that Cauchy sequences have well-defined limits that are points in the space.
Where does banach space come from?: Named after Polish mathematician Stefan Banach (1892–1945).

How to pronounce banach space

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