Minimal projections with respect to various norms

Asuman Güven Aksoy, and Grzegorz Lewicki. "Minimal projections with respect to various norms." Studia Mathematica 210.1 (2012): 1-16. <http://eudml.org/doc/285664>.

@article{AsumanGüvenAksoy2012,
abstract = {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.},
author = {Asuman Güven Aksoy, Grzegorz Lewicki},
journal = {Studia Mathematica},
keywords = {numerical radius; minimal projection; normed operator ideal},
language = {eng},
number = {1},
pages = {1-16},
title = {Minimal projections with respect to various norms},
url = {http://eudml.org/doc/285664},
volume = {210},
year = {2012},
}

TY - JOUR
AU - Asuman Güven Aksoy
AU - Grzegorz Lewicki
TI - Minimal projections with respect to various norms
JO - Studia Mathematica
PY - 2012
VL - 210
IS - 1
SP - 1
EP - 16
AB - 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.
LA - eng
KW - numerical radius; minimal projection; normed operator ideal
UR - http://eudml.org/doc/285664
ER -