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.
Sprache
Verlagsort
Zielgruppe
Produkt-Hinweis
Maße
Höhe: 280 mm
Breite: 216 mm
Dicke: 24 mm
Gewicht
ISBN-13
978-0-292-74125-6 (9780292741256)
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Schweitzer Klassifikation
H. Elton Lacey (1937-2013) was a professor of mathematics at Texas A&M University.
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)
