Concept information
Preferred term
Banach lattice
Definition
- In the mathematical disciplines of functional analysis and order theory, a Banach lattice (X,‖·‖) is a complete normed vector space with a lattice order, such that for all x, y ∈ X, the implication|x| ≤ |y| ⇒ ‖x‖ ≤ ‖y‖ holds, where the absolute value ∣·∣ is defined as|x| = x ∨ − x. (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Banach_lattice)
Broader concept
In other languages
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French
URI
http://data.loterre.fr/ark:/67375/MDL-PH1MRP21-3
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