Meaning of Banach space | Babel Free
Definitions
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.
error-lua-exec
Equivalents
Bosanski
Banachov prostor
Dansk
Banachrum
Deutsch
Banach-Raum
Français
espace de Banach
Hrvatski
Banachov prostor
Italiano
spazio di Banach
日本語
バナッハ空間
Русский
ба́нахово простра́нство
Српски
Banachov prostor
Svenska
Banachrum
Examples
“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.”
CEFR level
B2
Upper Intermediate
This word is part of the CEFR B2 vocabulary — upper intermediate level.
This word is part of the CEFR B2 vocabulary — upper intermediate level.
Know this word better than we do? Language is a living thing — help us keep it growing. Collaborate with Babel Free