In mathematics, more specifically in functional analysis, a Banach space (pronounced ) is a complete normed vector space.
Banach spaces are named after the Polish mathematician Stefan Banach, who introduced them in 1920–1922 along with Hans Hahn and Eduard Helly.
Read more about Banach Space: Definition, Explanations, Theorems and Properties, Linear Operators, Dual Space, Reflexivity, Tensor Product, Placement in The Hierarchy of Mathematical Structures, Examples, Derivatives, Generalizations
Famous quotes containing the word space:
“In bourgeois society, the French and the industrial revolution transformed the authorization of political space. The political revolution put an end to the formalized hierarchy of the ancien regimé.... Concurrently, the industrial revolution subverted the social hierarchy upon which the old political space was based. It transformed the experience of society from one of vertical hierarchy to one of horizontal class stratification.”
—Donald M. Lowe, U.S. historian, educator. History of Bourgeois Perception, ch. 4, University of Chicago Press (1982)