Summability Through Functional Analysis


  • A. Wilansky

Summability is an extremely fruitful area for the application of functional analysis; this volume could be used as a source for such applications. Those parts of summability which only have ``hard'' (classical) proofs are omitted; the theorems given all have ``soft'' (functional analytic) proofs.
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Book information

  • Published: January 1984
  • Imprint: NORTH-HOLLAND
  • ISBN: 978-0-444-86840-4

Table of Contents

Matrices. Classical Matrices. Triangles and Banach Consistency. FK Spaces. Replaceability and Consistency. Bigness Theorems. Sequence Spaces. Inclusion and Mapping. Semiconservative Spaces and Matrices. Distinguished Subspaces of FK Spaces. Extension. Distinguished Subspaces of Matrix Domains. Distinguished Subspaces of c/A. The Functional .... The Subspace P. Sequential Completeness and Separability. Maps of Banach Spaces. Algebra. Miscellany. Bibliography. Index.