On the distance of subspaces of l p n l^ n_ p to l p k l^ k_ p Academic Article uri icon

abstract

  • It is proved that if lpnis well-isomorphic to X ⊕ Y and X either has small dimension or is a Euclidean space, then Y is well-isomorphic to lpk, k = dim Y. The proofs use new forms of the finite dimensional decomposition method. It is shown that the constant of equivalence between a normalized Kunconditional basic sequence in lpnand a subsequence of the unit vector basis of lpnis greatest, up to a constant depending on K, when the sequence spans a 2-Euclidean space. © 1991 American Mathematical Society.

author list (cited authors)

  • Johnson, W. B., & Schechtman, G.

citation count

  • 1

complete list of authors

  • Johnson, William B||Schechtman, Gideon

publication date

  • January 1991