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Showing 1 to 4 of 4 for “"Renorming"”.
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LOCALIZATION TECHNIQUES FOR RENORMING
Renorming theory involves finding isomorphisms in order to improve the norm of a normed space X. This means to make the geometrical and topological properties of the unit ball of the given normed space as close as possible to those of the unit ball of a Hilbert space. In this work we study …
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Existence and uniqueness of best approximants, with numerical applications
… are shown to be incapable of uniformly convex renorming. In chapter 5, a number of convexity properties and a class of convergence processes are generalized to metric spaces. It is shown that Clarkson's renorming technique can be extended to metrics and that each closed subset of a metric space …
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Topics on the geometry and classification of Banach lattices
… part of chapter 6, which describes a method of renorming AM spaces so that the only lattice isometry is the trivial isometry.
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Lifting Module Maps Between Different Noncommutative Domain Algebras
… noncommutative domain algebras. We use a renorming technique to prove that as long as the “formal identity map” is bounded, we can lift module maps between different noncommutative domains generated by finite positive regular free holomorphic functions. Finally, we apply the lifting …