Example of application of Komlós theorem

It seems to me that Corollary 2.2 in Balder and Hess's paper 'Two generalizations of Komlós' theorem with lower closure applications' yields, for reflexive spaces, the conclusion of Theorem 2. Assumption (ii) would be vacuous since closed balls are weakly compact.

Under what conditions will the ring homomorphism $\phi : R \to S$ satisfy the following results about prime and maximal ideals?

Property of spectrum of an operator: $\sigma(T)=\sigma_{app}(T)\cup\sigma_{comp}(T)$

What is the difference between '&self' and '&'a self'?

What does the pigeonhole principle have to do with graph theory?

Primitive 16th root of unity

Given three real numbers $a,b,c$ so that $\{a,b,c\}\subset [1,2]$ . How to make $\sqrt[3]{\frac{a+b+c}{\max\{a,b,c\}}}\leq\frac{3}{2}$ a lot stronger?

Show that $1+\cos(\theta)+\cos(2\theta)+\cos(3\theta)+\cos(4\theta)+\cos(5\theta)+\cos(6\theta) = 0$

Assume $H,G$ are simple groups. Can we prove that either $H\unlhd HG$ or $H\unlhd GH$?

Facebook Sdk Has Not Been Initialized FacebookSdk.sdkInitialize()

$f(X)$ measurable, but $f$ not measurable

Handling UntrustedSSLcertificates using WebDriver

Java 8 Lambda - Intersection of Two Lists