Minimal projections with respect to various norms

• Autorzy: Asuman Güven Aksoy , Grzegorz Lewicki
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 41A65: Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
• 47A12: Numerical range, numerical radius
• 41A35: Approximation by operators (in particular, by integral operators)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2012
• Tom: 210
• Numer: 1
• Strony: 1-16

Daty

wydano

2012

Twórcy

autor

Asuman Güven Aksoy

• Department of Mathematics, Claremont McKenna College, Claremont, CA 91711, U.S.A.

autor

Grzegorz Lewicki

• Department of Mathematics and Computer Science, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland

Identyfikatory

DOI

10.4064/sm210-1-1