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The Lipschitz constants of the metric ε-projection operator in spaces with given modules of convexity and smoothness

✍ Scribed by Marinov, A V


Book ID
115447756
Publisher
Turpion Limited
Year
1998
Tongue
English
Weight
325 KB
Volume
62
Category
Article
ISSN
1064-5632

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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

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A principal result of the paper is that if E is a symmetric Banach function space on the positive half-line with the Fatou property then, for all semifinite von Neumann algebras (M, {), the absolute value mapping is Lipschitz continuous on the associated symmetric operator space E(M, {) with Lipschi