Hilbert Space
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The german mathematician david hilbert first described this space in his work on integral equations and fourier series which occupied his attention during the period 1902 12.
Hilbert space. It is named after david hilbert. A hilbert space is a mathematical concept covering the extra dimensional use of euclidean space i e a space with more than three dimensions. A hilbert space is an abstract vector space possessing the structure of an inner product that allows length and angle to be measured. The basic example of a hilbert space is.
Hilbert space in mathematics an example of an infinite dimensional space that had a major impact in analysis and topology. A hilbert space uses the mathematics of two and three dimensions to try and describe what happens in greater than three dimensions. Hilbert spaces serve to clarify and generalize the concept of fourier expansion and certain linear transformations such as the fourier transform. Furthermore hilbert spaces are complete.
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