๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A characterization of strict convexity of banach spaces and other uses of duality mappings

โœ Scribed by W.V Petryshyn

Publisher
Elsevier Science
Year
1970
Tongue
English
Weight
511 KB
Volume
6
Category
Article
ISSN
0022-1236

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

A Note about Differentiability of Maps D
A Note about Differentiability of Maps Defined on Convex Subsets of Banach Spaces That May Be Nowhere Dense
โœ Adriano Montanaro; Diego Pigozzi ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 238 KB

In connection with continuum mechanics there are physically meaningful choices of infinite-dimensional Banach spaces such that the domain of constitutive maps is ลฝ nowhere dense in them, as V. J. Mizel and C.-C. Wang Arch. Rational Mech. . Anal. 23, 1996, 124แŽ134 pointed out. Thus the usual differe

A Characterization of (Locally) Uniforml
A Characterization of (Locally) Uniformly Convex Spaces in Terms of Relative Openness of Quotient Maps on the Unit Ball
โœ J. Reif ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 148 KB

Relative openness of quotient maps on the closed unit ball U of a normed linear space X is studied quantitatively. Particularly, it follows from the results that the quotient maps on X associated with the closed linear subspaces of X are equally relatively open on U if and only if X is locally unifo

A Bound for the Modulus of Continuity fo
A Bound for the Modulus of Continuity for Metric Projections in a Uniformly Convex and Uniformly Smooth Banach Space
โœ Ya.I. Alber ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 318 KB

In 1979, Bjornestal obtained a local estimate for a modulus of uniform continuity of the metric projection operator on a closed subspace in a uniformly convex and uniformly smooth Banach space B. In the present paper we give the global version of this result for the projection operator on an arbitra