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E-raamat: Linear Functional Analysis

(Harbin Institute Of Technology), (Ntu, S'pore)
  • Formaat: 264 pages
  • Sari: Series In Real Analysis 4
  • Ilmumisaeg: 19-Jun-1992
  • Kirjastus: World Scientific Publishing Co Pte Ltd
  • Keel: eng
  • ISBN-13: 9789814505857
  • Formaat - PDF+DRM
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  • Raamatukogudele
Linear Functional Analysis
  • Formaat: 264 pages
  • Sari: Series In Real Analysis 4
  • Ilmumisaeg: 19-Jun-1992
  • Kirjastus: World Scientific Publishing Co Pte Ltd
  • Keel: eng
  • ISBN-13: 9789814505857

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With an addendum by Wu Congxin (Harbin Institute of Technology)Linear Functional Analysis resulted from a series of lectures Orlicz gave in Beijing, China, 1958. The orignal edition was published in Chinese in 1963. It contains all the major theorems that would normally appear in a modern text, the results of special interest to the Polish school, and others which are not easily available elsewhere. Orlicz provided in this book some rare insight and motivation in the subject which was initiated by the Polish school. An addendum to some recent results in Orlicz spaces is included.
Preliminaries in functional analysis; examples of Banach and Frechet
spaces; a unified approach of some useful Banach and Frechet spaces - Orlicz
and modular spaces; normed spaces induced by given spaces; equivalent norms
and isometry of spaces; convergence in the topological linear spaces; remarks
in non-isometry of spaces; unconditionally and absolutely convergent series;
linear functionals; separation theorems and their applications; conjugate
spaces; continuous operators and operator sequences; some applications to
summability theory and orthogonal series; addendum - some recent results in
Orlicz spaces; exercises.