Summability through functional analysis / Albert Wilansky.
Series: North-Holland mathematics studies ; 85. | Notas de matemática (Rio de Janeiro, Brazil) ; no. 91.1984Description: 1 online resource (xii, 318 pages)Content type:- text
- computer
- online resource
- 9780444868404
- 0444868402
- 9780080871967
- 0080871968
- QA1 .N86 no. 91eb
- QA1 .N86 no. 91 QA320eb
eBooks
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.
Includes bibliographical references (pages 303-308) and index.
Print version record.
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.
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