## 3 Citations

Convergence of measures in forcing extensions

- MathematicsIsrael Journal of Mathematics
- 2019

We prove that if A is a σ-complete Boolean algebra in a model V of set theory and ℙ ∈ V is a proper forcing with the Laver property preserving the ground model reals non-meager, then every pointwise…

Convergence of measures after adding a real

- Mathematics
- 2021

We prove that if A is an infinite Boolean algebra in the ground model V and P is a notion of forcing adding any of the following reals: a Cohen real, an unsplit real, or a random real, then, in any…

Weak Sequential Convergence in Bounded Finitely Additive Measures

- Mathematics
- 2020

It is well known that a σ -algebra Σ of subsets of a set Ω verifies both Nikodým property and property ( G ) for the Banach space b a (Σ) of bounded finitely additive measures defined in Σ. A classic…

## References

SHOWING 1-10 OF 15 REFERENCES

The Nikodym property and cardinal characteristics of the continuum

- MathematicsAnn. Pure Appl. Log.
- 2019

A non-reflexive Grothendieck space that does not containl∞

- Mathematics
- 1981

A compact spaceS is constructed such that, in the dual Banach spaceC(S)*, every weak* convergent sequence is weakly convergent, whileC(S) does not have a subspace isomorphic tol∞. The construction…

Relaciones entre propiedades de supremo y propiedades de interpolación en álgebras de Boole

- Mathematics
- 1988

In this paper the relations between some properties of interpolation and some properties of supremum, on Boolean algebras with the countable chain condition, are studied. It is also proved that a…

On the density of Banach spaces C(K) with the Grothendieck property

- Mathematics
- 2006

Using the method of forcing we prove that consistently there is a Banach space of continuous functions on a compact Hausdorff space with the Grothendieck property and with density less than the…

The Vitali-Hahn-Saks theorem for Boolean algebras with the subsequential interpolation property

- Mathematics
- 1984

It is shown that the Vitali-Hahn-Saks theorem holds for a new class of Boolean algebras which are defined by a separation property of its disjoint sequences: the Subsequential Interpolation Property.…

On Nikodym boundedness property

- Mathematics
- 2013

In this article, we expose some results related with Nikodym’s boundedness theorem. In particular, it is shown that, if Ω is a compact k-dimensional interval in the euclidean space…

On vector measures

- Mathematics
- 1974

The four sections of this paper treat four different but somewhat related topics in the theory of vector measures. In §1 necessary and sufficient conditions for a Banach space X to have the property…

Sequences and series in Banach spaces

- Mathematics
- 1984

I. Riesz's Lemma and Compactness in Banach Spaces. Isomorphic classification of finite dimensional Banach spaces ... Riesz's lemma ... finite dimensionality and compactness of balls ... exercises ...…