Concept information
Preferred term
bounded operator
Definition(s)
- In functional analysis and operator theory, a bounded linear operator is a linear transformation L : X → Y between topological vector spaces (TVSs) X and Y that maps bounded subsets of X to bounded subsets of Y. If X and Y are normed vector spaces (a special type of TVS), then L is bounded if and only if there exists some M > 0 such that for all x ∈ X, ‖ Lₓ ‖_Y ≤ M ‖ x ‖ₓ . (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Bounded_operator)
Broader concept(s)
Narrower concept(s)
In other languages
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French
URI
http://data.loterre.fr/ark:/67375/MDL-TLWJ6ZN4-D
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