Displaying similar documents to “Minimal incomplete norms on Banach algebras”

Minimal projections with respect to various norms

Asuman Güven Aksoy, Grzegorz Lewicki (2012)

Studia Mathematica

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A theorem of Rudin permits us to determine minimal projections not only with respect to the operator norm but with respect to various norms on operator ideals and with respect to numerical radius. We prove a general result about N-minimal projections where N is a convex and lower semicontinuous (with respect to the strong operator topology) function and give specific examples for the cases of norms or seminorms of p-summing, p-integral and p-nuclear operator ideals.

Minimality in asymmetry classes

Michał Wiernowolski (1997)

Studia Mathematica

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We examine minimality in asymmetry classes of convex compact sets with respect to inclusion. We prove that each class has a minimal element. Moreover, we show there is a connection between asymmetry classes and the Rådström-Hörmander lattice. This is used to present an alternative solution to the problem of minimality posed by G. Ewald and G. C. Shephard in [4].