Measurability in modules

Existence and Measurability of the Solution of the Stochastic Differential Equations Driven by Fractional Brownian Motion

On pointwise measurability of multifunctions

We present some results concerning pointwise measurability of multifunctions and some relationships with global measurability of multifunctions.

Quantum theory realises all joint measurability graphs

Joint measurability of sharp quantum observables is determined pairwise, and so can be captured in a graph. We prove the converse: any graph, whose vertices represent sharp observables, and whose edges represent joint measurability, is realised by quantum theory. This leads us to show that it is not always possible to use Neumark dilation to turn unsharp observables into sharp ones with the sam...

The Measurability of Complex-Valued Functional Sequences

In this article, we formalized the measurability of complexvalued functional sequences. First, we proved the measurability of the limits of real-valued functional sequences. Next, we defined complex-valued functional sequences dividing real part into imaginary part. Then using the former theorems, we proved the measurability of each part. Lastly, we proved the measurability of the limits of com...

A Remark on the Measurability of Large Games∗

A game with a continuum of players is described by a function assigning payoff functions to players and satisfying some measurability properties. In this note we establish the equivalence between several measurability assumptions that have been made in the literature. Journal of Economic Literature Classification Numbers: C72.