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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

Banach Space Linear Transformation Normed Space Banach Algebra Invertible Element 
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-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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