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Summability through functional analysis /

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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...

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Bibliographic Details
Main Author: Wilansky, Albert
Corporate Author: ScienceDirect (Online service)
Format: eBook
Language:English
Published: Amsterdam ; New York : New York, N.Y. : North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1984.
Series:North-Holland mathematics studies ; 85.
Notas de matemática (Rio de Janeiro, Brazil) ; no. 91.
Subjects:
Functional analysis.
Summability theory.
Analyse fonctionnelle.
Sommabilité.
MATHEMATICS > Pre-Calculus.
MATHEMATICS > Reference.
MATHEMATICS > Essays.
MATHEMATICS > Functional Analysis.
Functional analysis
Summability theory
Mathematics > Functional analysis
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Matrices
  • Classical matrices
  • Triangles and Banach space
  • 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[subscript A]
  • The functional [mu]
  • The subspace P
  • Sequential completeness and separability
  • Maps of Banach spaces
  • Algebra
  • Miscellany.