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Geometry of Normed Linear Spaces
Edited by: R. G. Bartle, N. T. Peck, A. L. Peressini, and J. J. Uhl
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Contemporary Mathematics
1986; 171 pp; softcover
Volume: 52
Reprint/Revision History:
reprinted 1991
ISBN-10: 0-8218-5057-1
ISBN-13: 978-0-8218-5057-2
List Price: US$29
Member Price: US$23.20
Order Code: CONM/52
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These 17 papers result from a 1983 conference held to honor Professor Mahlon Marsh Day upon his retirement from the University of Illinois. Each of the main speakers was invited to take some aspect of Day's pioneering work as a starting point: he was the first American mathematician to study normed spaces from a geometric standpoint and, for a number of years, pioneered American research on the structure of Banach spaces.

The material is aimed at researchers and graduate students in functional analysis. Many of the articles are expository and are written for the reader with only a basic background in the theory of normed linear spaces.

Table of Contents

  • P. G. Casazza -- Finite dimensional decompositions in Banach spaces
  • E. E. Granirer -- Some theorems on the geometry of Banach spaces arising from the study of invariant means
  • R. C. James -- The Radon-Nikodym and Krein-Milman properties for convex sets
  • N. J. Klaton -- The metric linear spaces \(L_p\) for \(0 <p <1\)
  • H. P. Rosenthal -- The unconditional basic sequence problem
  • P. Antosik -- A lemma on matrices and its applications
  • R. G. Bilyeu and P. W. Lewis -- Applications of geometry of infinite dimensional spaces to vector measures
  • M. A. Geraghty and B.-L. Lin -- Minimax theorems without convexity
  • R. E. Megginson -- Approximative compactness in Kadec-Klee spaces
  • I. Namioka and R. F. Wheeler -- Gulko's proof of the Amir-Lindenstrauss theorem
  • H. Porta and L. Recht -- Continuous selections of complemented subspaces
  • E. Saab -- Exposed points and the Radon-Nikodym property
  • E. Saab and P. Saab -- On complemented copies of \(c_0\) in injective tensor products
  • J. J. Schaffer -- A note on girth and isomorphic classification of normed spaces
  • M. A. Smith -- Rotundity and extremity in \(l^p(X_i)\) and \(L^p(\mu ,X)\)
  • K. Sundaresan and S. Swaminathan -- Orthogonality and linear homomorphisms in Banach lattices
  • B. Reznick -- Daysong>
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