Loterre: Mathematics: Banach lattice

algebra > abstract algebra > algebraic structure > lattice > Banach lattice

... > linear algebra > vector space > topological vector space > normed vector space > Banach lattice

Banach lattice

In the mathematical disciplines of in functional analysis and order theory, a Banach lattice $(X,‖\cdot‖)$ is a complete normed vector space with a lattice order, such that for all $x, y \in X$ , the implication ${\\displaystyle {|x|\\leq |y|}\\Rightarrow {\\|x\\|\\leq \\|y\\|}}$ holds, where the absolute value $|\cdot|$ is defined as ${\\displaystyle |x|=x\\vee -x{\ ext{.}}}$
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Banach_lattice)

http://data.loterre.fr/ark:/67375/PSR-Q49K3SG4-S

RDF/XML TURTLE JSON-LD Last modified 8/18/23

LOTERRE