Metric, Banach, and Hilbert Spaces

Toka Diagana
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Toka Diagana: Howard University, Department of Mathematics

Chapter Chapter 1 in Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces, 2013, pp 1-41 from Springer

Abstract: Abstract In this introductory chapter, we collect the basic background on metric, Banach, and Hilbert spaces needed in the sequel. The exposition is self-contained, with a wealth of illustrative examples. Proofs of some of the most important results are given including that of the Banach fixed-point theorem.

Keywords: Hilbert Space; Banach Space; Sobolev Space; Equivalent Definition; Separable Space (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-00849-3_1

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DOI: 10.1007/978-3-319-00849-3_1

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