Quojections and the problem of topologies of Grothendieck

Authors

  • J. Bonet
  • J. Taskinen

DOI:

https://doi.org/10.1285/i15900932v11p49

Abstract

We show that the problem of topologies of Grothendieck has a negative answer in the case of quojections: we construct a separable reflexive quojection E such that $E\widehat{⨂}_? l2$ does not have property (BB) in the sense of [T1]. This result implies for example the existence of a strict (LB)-space without a local partition of unity in the sense of Hollstein.

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Published

01-01-1991

Issue

Volume 11 (1991)

Section

Articoli

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