Abstract. 
This is the second of two talks on the relationship between p-dimensional
volume growth and Lyapunov exponents for cocycles of Banach space
operators. I will elaborate on the method of approximating inner products
for finite dimensional normed vector spaces, showing how these can be used
to relate the geometry on subspaces to the induced volume, and will show
how to recover Ruelle's method for proving the "one-side" MET in the
Banach space setting. Time permitting, I will discuss a similar proof of
the "two-sided" MET.