Three Spaces Problem for Lyapunov Theorem on Vector Measure
It is proved that a Banach space X has the Lyapunov property if its subspace Y and the quotient space X/Y have it.
Representing and absolutely representing systems
We introduce various classes of representing systems in linear topological spaces and investigate their connections in spaces with different topological properties. Let us cite a typical result of the paper. If H is a weakly separated sequentially separable linear topological space then there is a representing system in H which is not absolutely representing.
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