J-convexity constants

• Autorzy: Wang J.
• Języki publikacji: EN

Abstrakty

EN

We introduce the J-convexity constants on Banach spaces and give some properties of the constants. We give the relations between the J-convexity constants and the n-th von Neumann-Jordan constants. Using the quantitative indices we estimate the value of J-convexity constants in Orlicz spaces.

Słowa kluczowe

EN

new quantitative index; J-convexity constants; n-th von Neumann-Jordan constants; Orlicz spaces

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2007
• Tom: Vol. 27, no. 1
• Strony: 167--174
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Wang J.

• Suzhou University, Department of Mathematics, P.R. China, 215006,

Bibliografia

• [1] B. Beauzamy, Introduction to Banach spaces and their geometry, Volume 68 of North-Holland Mathematics Studies, North-Holland, 2nd ed., 1985.
• [2] J. Wenzel, Superreflexivity and J -convexity of Banach spaces, Acta Math. Univ. Comenianae, Vol. LXVI, 1 (1997), 135-147.
• [3] R.C. James, Some self dual properites of normed linear spaces, Symposium on infinite dimensional topology, Baton Rouge, 1967, Volume 69 of Annals of Mathematics studies, 1972, 159-175.
• [4] J.J. Schafler, K. Sundaresan, Reflexivity and girth of spheres, Math. Ann. 184 (1970) 3, 163-168.
• [5] Z.D. Ren, Nonaquare constants of Orlicz space, Stochastic processes and Function Analysis, edited by J.A. Goldstein, N. E. Gretsky and J. J. Uhl, Jr., Marcel Dekker, Lecture Notes in Pure and Applied Math. 186 (1997), 79-197.
• [6] S.T. Chen, Geometry of Orlicz Spaces, Dissertationes Math. 356 (1996), 1-204.
• [7] J. Wang, On non-ln(1) constants and n-th Von Neumann-Jordan constants for Orlicz spaces, Commentationes Mathematicae, to appear.
• [8] M.M. Rao, Z.D. Ren, Theory of Orlicz spaces, Marcel Dekker, New York, 1991.