Bounded linear transformations

  • Arlen Brown
  • Carl Pearcy
Part of the Graduate Texts in Mathematics book series (GTM, volume 55)

Abstract

The presence of a topology on a linear space leads naturally to the extremely important classification of linear transformations into continuous and discontinuous ones. In normed spaces this distinction is facilitated by the existence of a very simple criterion for continuity.

Keywords

Manifold 

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Copyright information

© Springer-Verlag, New York Inc. 1977

Authors and Affiliations

  • Arlen Brown
    • 1
  • Carl Pearcy
    • 2
  1. 1.Department of MathematicsIndiana UniversityBloomingtonUSA
  2. 2.Department of MathematicsUniversity of MichiganAnn ArborUSA

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