Normed and Function Spaces

Houshang H. Sohrab
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Houshang H. Sohrab: Towson University, Mathematics

Chapter Chapter 9 in Basic Real Analysis, 2014, pp 411-464 from Springer

Abstract: Abstract Metric spaces were defined and studied in Chap. 5. Despite their importance, general metric spaces do not share the algebraic properties of the fields ℝ $$\mathbb{R}$$ and ℂ , $$\mathbb{C},$$ because a metric space need not be an algebra or even a vector space. Any (nonempty) subset of a metric space is again a metric space with the metric it borrows from the ambient space.

Keywords: Space Need; Schauder Basis; Unordered Series; Hellinger Toeplitz; Normed Space (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-1-4939-1841-6_9

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