Appendix. Topics in Linear Analysis

  • Stuart S. Antman
Part of the Applied Mathematical Sciences book series (AMS, volume 107)


A Banach space is a vector space with very attractive convergence properties. For our purposes, the most important Banach spaces are spaces of functions. Formally, a Banach space is a complete, normed, vector space. Let us now define each of these terms. By a scalar we mean a real or complex number.


Banach Space Vector Space Linear Operator Sobolev Space 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.


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Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • Stuart S. Antman
    • 1
  1. 1.Department of Mathematics and Institute for Physical Science and TechnologyUniversity of MarylandCollege ParkUSA

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