Distances in Functional Analysis

Michel Marie Deza and Elena Deza
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Michel Marie Deza: École Normale Supérieure
Elena Deza: Moscow State Pedagogical University

Chapter Chapter 13 in Encyclopedia of Distances, 2013, pp 223-232 from Springer

Abstract: 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.

Keywords: Complete Normed Vector Space; Orlicz-Lorentz Spaces; Normal Metal; Variable Exponent Lebesgue Spaces; Continuous Duality (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/978-3-642-30958-8_13

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