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Notes in Banach Spaces de H. Elton Lacey

Notes in Banach Spaces

Editat de H. Elton Lacey
en Limba Engleză Paperback – 1981
These lectures in functional analysis cover several aspects of Banach spaces, a conceptualization of complete normed linear spaces developed by Stefan Banach in 1932, and include a number of topics which had never before been treated in expository form. They were presented as a part of the University of Texas Mathematics Department Seminars in Analysis series in 1977–1979.
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Specificații

ISBN-13: 9780292741256
ISBN-10: 0292741251
Pagini: 448
Dimensiuni: 216 x 279 x 28 mm
Greutate: 0.45 kg
Editura: University of Texas Press
Colecția University of Texas Press

Notă biografică

H. Elton Lacey (1937–2013) was a professor of mathematics at Texas A&M University.

Cuprins

  • Preface
  • Integration in Banach Space (Hui-Hsiung Kuo)
  • Lectures on Matrix Transformations of lP Spaces (Grahame Bennett)
  • Geometry of Finite Dimensional Banach Spaces and Operator Ideals (Aleksander Pelczynski)
  • Factorization, Tensor Products, and Bilinear Forms in Banach Space Theory (John E. Gilbert and Thomas J. Leih)
  • Characterization of Bauer Simplices and Some Other Classes of Choquet Simplices by Their Representing
  • Matrices (Y. Sternfeld)
  • The Modulus of Convexity of Lorentz and Orlicz Sequence Spaces (Z. Altshuler)
  • Applications of Ramsey Theorems to Banach Space Theory (E. Odell)
  • Banach Lattices and Local Unconditional Structure (S. J. Bernau and H. E. Lacey)
  • A Unified Approach to the Principle of Local Reflexivity (S. J. Bernau)

Descriere

These lectures in functional analysis cover several aspects of Banach spaces, a conceptualization of complete normed linear spaces developed by Stefan Banach in 1932, and include a number of topics which had never before been treated in expository form. They were presented as a part of the University of Texas Mathematics Department Seminars in Analysis series in 1977–1979