Geodesic
Minimal projections with respect to various norms
Asuman Güven Aksoy 1   ; Grzegorz Lewicki 2
1 Department of Mathematics Claremont McKenna College Claremont, CA 91711, U.S.A.
2 Department of Mathematics and Computer Science Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland
Studia Mathematica, Tome 210 (2012) no. 1, pp. 1-16 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm210-1-1
Keywords: theorem rudin permits determine minimal projections only respect operator norm respect various norms operator ideals respect numerical radius prove general result about n minimal projections where convex lower semicontinuous respect strong operator topology function specific examples cases norms seminorms p summing p integral p nuclear operator ideals

Asuman Güven Aksoy  1   ; Grzegorz Lewicki  2

1 Department of Mathematics Claremont McKenna College Claremont, CA 91711, U.S.A.
2 Department of Mathematics and Computer Science Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland 
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Asuman Güven Aksoy; Grzegorz Lewicki. Minimal projections with respect to various norms. Studia Mathematica, Tome 210 (2012) no. 1, pp. 1-16. doi: 10.4064/sm210-1-1

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