Embedding Banach spaces into the space of bounded functions with countable support Academic Article uri icon


  • 2019 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim We prove that a WLD subspace of the space lc() consisting of all bounded, countably supported functions on a set embeds isomorphically into l if and only if it does not contain isometric copies of c0(1). Moreover, a subspace of lc(1) is constructed that has an unconditional basis, does not embed into l, and whose every weakly compact subset is separable (in particular, it cannot contain any isomorphic copies of c0(1)).

published proceedings


author list (cited authors)

  • Johnson, W. B., & Kania, T.

citation count

  • 2

complete list of authors

  • Johnson, William B||Kania, Tomasz

publication date

  • January 2019