Abstract
Functional Analysis is the branch of Mathematics concerned with the study of spaces of functions. This usage of the word functional goes back to the calculus of variations which studies functions whose argument is a function. In the modern view, Functional Analysis is seen as the study of complete normed vector spaces, i.e., Banach spaces.
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References
Orlicz W. Über eine Gewisse Klasse von Raumen vom Typus B ′, Bull. Int. Acad. Pol. Series A, Vol. 8–9, pp. 207–220, 1932.
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Deza, M.M., Deza, E. (2016). Distances in Functional Analysis. In: Encyclopedia of Distances. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-52844-0_13
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DOI: https://doi.org/10.1007/978-3-662-52844-0_13
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