V. G. Sharapov, “Natural extensions of one class of quasiendomorphisms of Lebesgue space”, Zhurnal SVMO, 2010, Volume 12, Number 1,Pages <nobr>92

In Middle Volga Mathematical Society

Natural extensions of one class of quasiendomorphisms of Lebesgue space

V. G. Sharapov

Volgograd State University

Abstract: In the article a construction of natural extensions of quasiendomorphisms of Lebesgue space is given. It is shown that these extentions can be used for construction of invariant measure.

Keywords: Quasiendomorphisms of Lebesgue space,natural extensions, invariant measure.

UDC: 517.937