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0-1 law for product measures in product of groups

Wiśniewski A.

Demonstratio Mathematica

2000

Vol. 33, nr 4

901-908

The 0-1 law for measurable subgroups and cosets in arbitrary product of Abelian groups with product measure is investigated.

A variational characterization of the best approximation element

Dragomir S.

Demonstratio Mathematica

1999

Vol. 32, nr 1

117-128

A variational characterization for the best approximtion element from subspaces in normed linear spaces is given.

On projections in spaces of pencils

Oryszczyszyn H., Prażmowski K.

Demonstratio Mathematica

1998

Vol. 31, nr 4

825-833

In this paper we continue investigations of projections in line spaces defined over a vector space. The aim of the paper is to characterize projectivities and projective collineations in spaces of pencils. The main result is an expected one-projective collineations are those determined by "linear" transformations over underlying vector space. Basic notions, definitions and results are taken from [3].