Distances in Functional Analysis

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

Chapter Chapter 13 in Encyclopedia of Distances, 2016, pp 247-257 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; Normal Metal; Variable Exponent; Operator Norm Metric; Sobolev Metrics (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/978-3-662-52844-0_13

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