ON MEASURE ZERO SETS IN TOPOLOGICAL VECTOR SPACES
M. GRINC
Abstract.
We present short proofs of the well known facts that there exists a probability measure vanishing on all the Aronszajn's zero sets and that nonempty open sets in separable F-spaces are not Aronszajn's zero sets.
AMS subject classification.
28A05, 28C15, 46G12
Keywords.
$\sigma$-ideal, Aronszajn's zero sets, $ F$-space
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