Gunther Dirr, Vladimir Rakočević, and Harald K. Wimmer. "Estimates for projections in Banach spaces and existence of direct complements." Studia Mathematica 170.2 (2005): 211-216. <http://eudml.org/doc/284413>.
@article{GuntherDirr2005,
abstract = {Let W and L be complementary subspaces of a Banach space X and let P(W,L) denote the projection on W along L. We obtain a sufficient condition for a subspace M of X to be complementary to W and we derive estimates for the norm of P(W,L) - P(W,M).},
author = {Gunther Dirr, Vladimir Rakočević, Harald K. Wimmer},
journal = {Studia Mathematica},
keywords = {projections in Banach spaces; complementary subspaces; gap metric},
language = {eng},
number = {2},
pages = {211-216},
title = {Estimates for projections in Banach spaces and existence of direct complements},
url = {http://eudml.org/doc/284413},
volume = {170},
year = {2005},
}
TY - JOUR
AU - Gunther Dirr
AU - Vladimir Rakočević
AU - Harald K. Wimmer
TI - Estimates for projections in Banach spaces and existence of direct complements
JO - Studia Mathematica
PY - 2005
VL - 170
IS - 2
SP - 211
EP - 216
AB - Let W and L be complementary subspaces of a Banach space X and let P(W,L) denote the projection on W along L. We obtain a sufficient condition for a subspace M of X to be complementary to W and we derive estimates for the norm of P(W,L) - P(W,M).
LA - eng
KW - projections in Banach spaces; complementary subspaces; gap metric
UR - http://eudml.org/doc/284413
ER -