I have the following use cases:

As the user moves through space (the application will run on mobile, so it really is about a geographical location), he can get access to a new resources, or lose access to some resources (or assets).
How can I model that cleanly in UML 2?
Take a look at the Wikipedia definition of a use case:
“In software and systems engineering, a use case is a list of steps, typically defining interactions between a role (known in UML as an “actor”) and a system, to achieve a goal.”
A use case is something that you eventually implement. ‘User moves’ is not a use case, there is no interaction between the actor and some system. Likewise ‘has phone’ and ‘has PC” are not use cases.
Remember that use cases are primarily used for modelling the interactions of a user with a system. It looks like your use cases are preconditions or state rather than interactions.