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Unforeseen observations about the homological dimension of Hilbert spaces

  • Jesús M. F. Castillo,
  • Ricardo García,
  • Marilda A. Simoes

摘要

In this note we gather a few observations that connect the homological dimensions of Hilbert spaces with other apparently unrelated Banach space questions, such as: Does \(L_1/\ell _2 \) L 1 / 2 have the Bounded Approximation Property? Is \(L_1/ \ell _2\) L 1 / 2 a subspace of \(L_1\) L 1 ?