Satit Saejung, Ji Gao, "Normal Structure, Slices and Other Properties in Banach Spaces," WSEAS Transactions on Mathematics, vol. 11, pp. -, 2012, DOI:
Satit Saejung, Ji Gao. Normal Structure, Slices and Other Properties in Banach Spaces.
WSEAS Transactions on Mathematics. 2012;11:-.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 11, 2012
Normal Structure, Slices and Other Properties in Banach Spaces
Authors: ,
Abstract: In this paper, we introduce parameters $$sl_{ε}(X)$$ and $$sl_{0}(X)$$ based on slices of Banach space $$X$$ Using these parameters we describe some new properties of Banach spaces related to normal structure, uniformly non-squareness and others. In particular, we prove that if $$sl _{\frac{2}{3}}(X) < 2$$, then $$X$$ has normal structure, and $$sl_{0}(X) = ε_{0}(X)$$ where $$ ε_{0}X$$ is the characteristic of convexity of $$X$$ In addition, we give much more results about the modulus of NUC on X, and the modulus of UKK∗ on the dual space X∗ of X.
Keywords:
Fixed point, modulus of NUC, modulus of UKK*, normal structure, Slices, super-reflexive, and ultra-product space.
Pages: - WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 11, 2012DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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