Weak uniform normal structure in direct sum spaces

Tomás Domínguez Benavides

Studia Mathematica (1992)

  • Volume: 103, Issue: 3, page 283-290
  • ISSN: 0039-3223

Abstract

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The weak normal structure coefficient WCS(X) is computed or bounded when X is a finite or infinite direct sum of reflexive Banach spaces with a monotone norm.

How to cite

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Domínguez Benavides, Tomás. "Weak uniform normal structure in direct sum spaces." Studia Mathematica 103.3 (1992): 283-290. <http://eudml.org/doc/215951>.

@article{DomínguezBenavides1992,
abstract = {The weak normal structure coefficient WCS(X) is computed or bounded when X is a finite or infinite direct sum of reflexive Banach spaces with a monotone norm.},
author = {Domínguez Benavides, Tomás},
journal = {Studia Mathematica},
keywords = {normal structure; Orlicz sequence spaces; substitution norm; nondiametral point; weak normal structure coefficient; direct sum of reflexive Banach spaces with a monotone norm},
language = {eng},
number = {3},
pages = {283-290},
title = {Weak uniform normal structure in direct sum spaces},
url = {http://eudml.org/doc/215951},
volume = {103},
year = {1992},
}

TY - JOUR
AU - Domínguez Benavides, Tomás
TI - Weak uniform normal structure in direct sum spaces
JO - Studia Mathematica
PY - 1992
VL - 103
IS - 3
SP - 283
EP - 290
AB - The weak normal structure coefficient WCS(X) is computed or bounded when X is a finite or infinite direct sum of reflexive Banach spaces with a monotone norm.
LA - eng
KW - normal structure; Orlicz sequence spaces; substitution norm; nondiametral point; weak normal structure coefficient; direct sum of reflexive Banach spaces with a monotone norm
UR - http://eudml.org/doc/215951
ER -

References

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  1. [Be] B. Beauzamy, Introduction to Banach Spaces and their Geometry, North-Holland, Amsterdam 1982. 
  2. [B] W. L. Bynum, Normal structure coefficients for Banach spaces, Pacific J. Math. 86 (1980), 427-435. Zbl0442.46018
  3. [C] E. Casini, Degree of convexity and product spaces, Comment. Math. Univ. Carolinae 31 (4) (1990), 637-641. Zbl0721.46011
  4. [D1] T. Domí nguez Benavides, Some properties of the set and ball measures of non-compactness and applications, J. London Math. Soc. 34 (2) (1986), 120-128. 
  5. [D2] T. Domí nguez Benavides and G. Lopez Acedo, Lower bounds for normal structure coefficients, Proc. Roy. Soc. Edinburgh Sect. A, to appear. 
  6. [D3] T. Domí nguez Benavides and R. J. Rodriguez, Some geometrical constants in Orlicz sequence spaces, Nonlinear Anal., to appear. 
  7. [K] C. A. Kottmann, Subsets of the unit ball that are separated by more than one, Studia Math. 53 (1975), 15-25. 
  8. [L1] T. Landes, Permanence property of normal structure, Pacific J. Math. 111 (1) (1984), 125-143. Zbl0534.46015
  9. [L2] T. Landes, Normal structure and the sum property, ibid. 123 (1) (1986), 127-147. 
  10. [Li] J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces I, Springer, Berlin 1977. Zbl0362.46013
  11. [M] E. Maluta, Uniform normal structure and related coefficients, Pacific J. Math. 111 (1984), 357-367. Zbl0495.46012
  12. [Pa] J. P. Partington, On nearly uniformly convex Banach spaces, Math. Proc. Cambridge Philos. Soc. 93 (1983), 127-129. Zbl0507.46011
  13. [P] S. Prus, On Bynum's fixed point theorem, Atti Sem. Mat. Fis. Univ. Modena 38 (1990), 535-545. Zbl0724.46020
  14. [S] M. A. Smith, Rotundity and extremity in ℓ p ( X i ) and L p ( μ , X ) , in: Contemp. Math. 52, Amer. Math. Soc., 1986, 143-162. 

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