  We use spectral invariants in Lagrangian Floer theory in order to show that
there exist \emph{isometric} embeddings of normed linear spaces (finite or
infinite dimensional, depending on the case) into the space of Hamiltonian
deformations of certain Lagrangian submanifolds in tame symplectically
aspherical manifolds. In addition to providing a new class of examples in which
the Lagrangian Hofer metric can be computed explicitly, we refine and
generalize some known results about it.
