An extension property for Banach spaces

Freedman, Walden

doi:10.4064/cm91-2-2

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Mazur Versus Gelfand-phillips1

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2010

2014

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Cited by 2 publications

(1 citation statement)

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“…The Gelfand-Phillips property has attracted considerable attention over the last twenty years, which resulted in several interesting papers, see for instance Bourgain & Diestel [5], Drewnowski [6], Schlumprecht [28], Sinha & Arora [26], Freedman [9]. The class (GP) of spaces having this property is quite wide, and includes (i) l 1 (κ) for every κ;…”

Section: Mazur Versus Gelfand-phillipsmentioning

confidence: 99%

On sequential properties of Banach spaces, spaces of measures and densities

Borodulin–Nadzieja

Plebanek

2010

Czech Math J

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We answer in negative the problem if the existence of a Pmeasure implies the existence of a P-point. Namely, we show that if we add random reals to a certain 'unique P-point' model, then in the resulting model we will have a P-measure but not P-points. Also, we investigate the question if there is a P-measure in the Silver model. We show that rapid filters cannot be extended to a P-measure in the extension by ω product of Silver forcings and that in the model obtained by the countable support ω 2 -iteration of countable product of Silver forcings there are no P-measures of countable Maharam type.

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