TOPOLOGY OF THE CONVERGENCE IN PROBABILITY ON A LINEARSPAN OF A SEQUENCE OF INDEPENDENT RANDOM VARIABLES
K. Pietruska-Pałuba W. Smoleński
Abstract: Let be a sequence of independent symmetric Hilbert space valued
non-degenerated random variables and let denote the closed linear span of in
If is a locally convex subspace of then is Banach iff
does not contain an isomorphic copy of iff