Weak uniform normal structure in direct sum spaces

• Autorzy: Tomás Domínguez Benavides
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

normal structure; Orlicz sequence spaces; substitution norm

Kategorie tematyczne

• 47H09: Contraction-type mappings, nonexpansive mappings, A -proper mappings, etc.
• 47H10: Fixed-point theorems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1992
• Tom: 103
• Numer: 3
• Strony: 283-290

Daty

wydano

1992

otrzymano

1992-03-03

Twórcy

autor

Tomás Domínguez Benavides

• Departamento de Análisis Matemático, Universidad de Sevilla, Apartado 1160, 41080-Sevilla, Spain

Bibliografia

• [Be] B. Beauzamy, Introduction to Banach Spaces and their Geometry, North-Holland, Amsterdam 1982.
• [B] W. L. Bynum, Normal structure coefficients for Banach spaces, Pacific J. Math. 86 (1980), 427-435.
• [C] E. Casini, Degree of convexity and product spaces, Comment. Math. Univ. Carolinae 31 (4) (1990), 637-641.
• [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.
• [D2] T. Domí nguez Benavides and G. Lopez Acedo, Lower bounds for normal structure coefficients, Proc. Roy. Soc. Edinburgh Sect. A, to appear.
• [D3] T. Domí nguez Benavides and R. J. Rodriguez, Some geometrical constants in Orlicz sequence spaces, Nonlinear Anal., to appear.
• [K] C. A. Kottmann, Subsets of the unit ball that are separated by more than one, Studia Math. 53 (1975), 15-25.
• [L1] T. Landes, Permanence property of normal structure, Pacific J. Math. 111 (1) (1984), 125-143.
• [L2] T. Landes, Normal structure and the sum property, ibid. 123 (1) (1986), 127-147.
• [Li] J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces I, Springer, Berlin 1977.
• [M] E. Maluta, Uniform normal structure and related coefficients, Pacific J. Math. 111 (1984), 357-367.
• [Pa] J. P. Partington, On nearly uniformly convex Banach spaces, Math. Proc. Cambridge Philos. Soc. 93 (1983), 127-129.
• [P] S. Prus, On Bynum's fixed point theorem, Atti Sem. Mat. Fis. Univ. Modena 38 (1990), 535-545.
• [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.