ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. 65,   1   (1996)
pp.   87-91

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