On contractively complemented subspaces of separableL1-preduals

@article{Gasparis2000OnCC,
  title={On contractively complemented subspaces of separableL1-preduals},
  author={Ioannis Gasparis},
  journal={Israel Journal of Mathematics},
  year={2000},
  volume={128},
  pages={77-92}
}
AbstractIt is shown that for anL1-predual spaceX and a countable linearly independent subset of ext(BX*) whose norm-closed linear spanY inX* isω*-closed, there exists aω*-continuous contractive projection fromX* ontoY. This result combined with those of Pelczynski and Bourgain yields a simple proof of the Lazar-Lindenstrauss theorem that every separableL1-predual with non-separable dual contains a contractively complemented subspace isometric toC(Δ), the Banach space of functions continuous on… CONTINUE READING

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