: Astronomie: bounded operator

mathematical technique > algebra > linear algebra > linear transformation > bounded operator

bounded operator

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)

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