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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm210-1-1,
author = {Asuman G\"uven Aksoy and Grzegorz Lewicki},
title = {Minimal projections with respect to various norms},
journal = {Studia Mathematica},
volume = {209},
year = {2012},
pages = {1-16},
zbl = {1252.41019},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm210-1-1}
}
Asuman Güven Aksoy; Grzegorz Lewicki. Minimal projections with respect to various norms. Studia Mathematica, Tome 209 (2012) pp. 1-16. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm210-1-1/