Estimates for projections in Banach spaces and existence of direct complements
Volume 170 / 2005
Studia Mathematica 170 (2005), 211-216
MSC: Primary 46B20.
DOI: 10.4064/sm170-2-6
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 $P(W,L) - P(W,M)$.
