Geodesic
Estimates for projections in Banach spaces and existence of direct complements
Gunther Dirr1 ; Vladimir Rakočević2 ; Harald K. Wimmer1
1 Mathematisches Institut Universität Würzburg D-97074 Würzburg, Germany
2 Department of Mathematics University of Niš 18000 Niš, Yugoslavia
Studia Mathematica, Tome 170 (2005) no. 2, pp. 211-216

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $P(W,L) - P(W,M)$.
DOI : 10.4064/sm170-2-6
Keywords: complementary subspaces banach space denote projection along obtain sufficient condition subspace complementary derive estimates norm

Gunther Dirr 1 ; Vladimir Rakočević 2 ; Harald K. Wimmer 1

1 Mathematisches Institut Universität Würzburg D-97074 Würzburg, Germany
2 Department of Mathematics University of Niš 18000 Niš, Yugoslavia 
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 existence of direct complements},
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 existence of direct complements
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Gunther Dirr; Vladimir Rakočević; Harald K. Wimmer. Estimates for projections in Banach spaces and
 existence of direct complements. Studia Mathematica, Tome 170 (2005) no. 2, pp. 211-216. doi: 10.4064/sm170-2-6

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