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Hilbert space
In functional analysis, a Hilbert space H is a fully normed abstract vector space with a scalar product.
Explanation
It is a vector space with a metric that allows the computation of vector length and distance between vectors.
Functional analysis is the suitable framework for the mathematical formulation of quantum mechanics.
HistoryThe name is a tribute to the German mathematician David Hilbert (1862 - 1943) who introduced this concept. |