Localizing Weak Convergence in ${\mathbf{L}}_{\infty }$

J F Toland

In a general measure space $(X,\mathcal{L},\lambda )$, a characterization of weakly null sequences in $L_{\infty }(X,\mathcal{L},\lambda )$ ($u_k\rightharpoonup 0$) in terms of their pointwise beha…