< 1 >
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 pays tribute to the German mathematician David Hilbert (1862 - 1943) who introduced this concept. |