Normed Vector Spaces

  • Serge Lang
Part of the Undergraduate Texts in Mathematics book series (UTM)


By a vector space (over the real numbers) we shall mean a set E, together with an association (v, w) ↦ v + w of pairs of elements of E into E, and another association (x, v) ↦ xv of R × E into E, satisfying the following properties:


Vector Space Scalar Product Distance Function Euclidean Norm Open Ball 
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.


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Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • Serge Lang
    • 1
  1. 1.Department of MathematicsYale UniversityNew HavenUSA

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