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Normed and Function Spaces

Chapter
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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 \(\mathbb{R}\) and \(\mathbb{C},\) 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 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.MathematicsTowson UniversityTowsonUSA

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