On the set of Gateaux differentiability of the L^۱ norm

Let (\Omega, \mathcal{M}, \mu) be a measure space. In this paper, we establish the set of Gateaux differentiability for the usual norm of L^{۱}(\Omega, \mu) and the corresponding derivative formulae at each point in this set.

کلیدواژه ها:

Gateaux differentiability ، Norms ، Measure