Support functionals for closed bounded convex subsets of a Banach space

  • Joseph Diestel
Part of the Lecture Notes in Mathematics book series (LNM, volume 485)


Banach Space Convex Cone Approximation Property Normed Linear Space Linear Continuous Operator 
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  1. [1]
    E. Bishop and R. R. Phelps, A proof that every Banach space is subreflexive, Bull. AMS, 67 (1961), 97–98.MathSciNetCrossRefzbMATHGoogle Scholar
  2. [2]
    -, Support functionals of convex sets, Proc. Symposia in Pure Math. (Convexity) AMS, 7 (1963), 27–35.CrossRefGoogle Scholar
  3. [3]
    J. Diestel and J. J. Uhl, Jr., The Radon-Nikodym theorem for Banach space valued measures, Rocky Mtn. Journ.Google Scholar
  4. [4]
    J. R. Holub, Reflexivity of L (E, F), Proc. AMS, 39 (1973), 175–177.MathSciNetzbMATHGoogle Scholar
  5. [5]
    R. C. James, Reflexivity and the supremum of linear functionals, Ann. of Math., 66 (1957), 159–169.MathSciNetCrossRefzbMATHGoogle Scholar
  6. [6]
    -, Weakly compact sets, Trans. AMS, 113 (1964), 129–140.MathSciNetCrossRefzbMATHGoogle Scholar
  7. [7]
    -, Characterizations of reflexivity, Studia Math., 23 (1964), 205–216.MathSciNetzbMATHGoogle Scholar
  8. [8]
    -, A counterexample for a sup theorem in normel spaces, Israel J. Math., 9 (1971), 511–512.MathSciNetCrossRefzbMATHGoogle Scholar
  9. [9]
    -, Reflexivity and the sup of linear functionals, Israel J. Math., 13 (1972), 289–300.MathSciNetCrossRefGoogle Scholar
  10. [10]
    N. J. Kalton, Topologies on Riesz groups and applications to measure theorey, preprint.Google Scholar
  11. [11]
    V. Klee, Some characterizations of reflexivity, Rev. Ci (Lima), 52 (1950), 15–23.MathSciNetzbMATHGoogle Scholar
  12. [12]
    J. Lindenstrauss, On operators which attain their norm, Israel Journal of Mathematics, 1 (1963), 139–148.MathSciNetCrossRefzbMATHGoogle Scholar
  13. [13]
    J. D. Pryce, Weak compactness in locally convex spaces, Proc. AMS, 17 (1966), 148–155.MathSciNetCrossRefzbMATHGoogle Scholar
  14. [14]
    W. Ruckle, Reflexivity of L(E, F), Proc. AMS, 34 (1972), 171–174.MathSciNetzbMATHGoogle Scholar
  15. [15]
    S. Simons, Maximinimax, minimax and antiminimax theorems and a result of R. C. James, Pacific J. Math., 40 (1972), 709–718.MathSciNetCrossRefzbMATHGoogle Scholar
  16. [16]
    I. Singer, Best Approximation in Normed Linear Spaces, Springer-Verlag, Berlin-Heidelberg-New York, 1970.CrossRefzbMATHGoogle Scholar
  17. [17]
    J. J. Uhl, Jr., Norm attaining operators on L1[0, 1] and the Radon-Nikodym property, to appear.Google Scholar

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© Springer-Verlag 1975

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  • Joseph Diestel

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