switching between views pages, BUT keeping the search results and the sorting

How do you switch between different views pages, while keeping the selection and the sorting?

A user might have already found a selection of data using exposed filters and might have already sorted it in a ways that pleases him. Now, he likes to switch to a different views page in order to present his very sorted selection from table to grid and from few fields to more and different fields. However, loading the other view always starts with the default selection and default sorting.

Any idea?

Is there a way to pass on the relevant parameters?