• George Bachman
  • Lawrence Narici
  • Edward Beckenstein
Part of the Universitext book series (UTX)


Now that we have some spaces in which to work, we can set about replicating the basic structures of analysis—convergence, continuity, etc. The first thing we generalize is the idea of neighborhood of a point.


Banach Space Unit Ball Normed Space Product Space Cauchy Sequence 
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Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • George Bachman
    • 1
  • Lawrence Narici
    • 2
  • Edward Beckenstein
    • 3
  1. 1.Emeritus of MathematicsPolytechnic UniversityBrooklynUSA
  2. 2.Department of Mathematics and Computer ScienceSt. John’s UniversityJamaicaUSA
  3. 3.Science DivisionSt. John’s UniversityStaten IslandUSA

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