Quojections and the problem of topologies of Grothendieck
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
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.
![E\widehat{⨂}_𝜋 l<sup>2</sup>](http://siba-ese.unile.it/plugins/generic/latexRender/cache/d77e4601070fc6514b6c13d700ad2051.png)
DOI Code:
10.1285/i15900932v11p49
Classification:
46M05
Full Text: PDF