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

abstract

  • © 2019 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim We prove that a WLD subspace of the space lc∞(Γ) consisting of all bounded, countably supported functions on a set Γ embeds isomorphically into l∞ if and only if it does not contain isometric copies of c0(ω1). Moreover, a subspace of lc∞(ω1) 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(ω1)).

author list (cited authors)

  • Johnson, W. B., & Kania, T.

citation count

  • 1

publication date

  • January 1, 2019 11:11 AM

publisher