Banach Spaces

  • Gert K. Pedersen
Part of the Graduate Texts in Mathematics book series (GTM, volume 118)


Assuming a basic knowledge of linear algebra we now infuse extra topological concepts and arrive at the theory of topological vector spaces. Keeping to the essentials we only develop the theory of locally convex spaces, and we make these appear as seminormed spaces (with initial topology).


Banach Space Extreme Point Unit Ball Normed Space Convex Subset 
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Copyright information

© Springer Science+Business Media New York 1989

Authors and Affiliations

  • Gert K. Pedersen
    • 1
  1. 1.Mathematics InstituteUniversity of CopenhagenCopenhagen ØDenmark

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