# Useful resources for examples

#### Fermat

##### Active member
I am doing a project on concepts like compact sets, compact operators, where I need examples in spaces like l_p, C[a,b]. When I look on google, there is mostly just theory, and the few examples there are are usually in R. Does anyone know good websites or books that have examples. Thanks.

#### Opalg

##### MHB Oldtimer
Staff member
I am doing a project on concepts like compact sets, compact operators, where I need examples in spaces like l_p, C[a,b]. When I look on google, there is mostly just theory, and the few examples there are are usually in R. Does anyone know good websites or books that have examples. Thanks.
A good example of a compact operator is the Volterra integral operator.

For interesting examples of compact sets, you probably need to look at non-metric topologies. For example, the unit ball of $l_p$ ($1<p<\infty)$ is compact in the weak*-topology.