Banach and Hilbert Spaces

Toka Diagana
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Toka Diagana: University of Alabama in Huntsville, Department of Mathematical Sciences

Chapter Chapter 1 in Semilinear Evolution Equations and Their Applications, 2018, pp 1-28 from Springer

Abstract: Abstract In this chapter we present the basic material on metric, Banach, and Hilbert spaces needed in the sequel. By design, every Hilbert space is a Banach space—with the converse being untrue. Banach and Hilbert spaces play a central role in many areas and subareas of mathematical analysis as most of the spaces encountered and utilized in practical problems turn out to be either Hilbert spaces or Banach spaces.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-00449-1_1

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DOI: 10.1007/978-3-030-00449-1_1

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