This article is cited in 3 papers

On conditional mathematical expectations for functions integrable in the Pettis sense

V. I. Rybakov

Tula Pedagogical Institute

Abstract: Constructed in this note is an example of a function integrable in the Pettis sense for which no conditional mathematical expectation exists relative to some sgr-subalgebra. The example constructed shows that, in particular, the assertion of Theorem 6.1 in the M. M. Rao paper (Ref. Zh. Mat.,9B, 680, 1968) is false.

UDC: 519.2

Received: 01.06.1970

 English version: Mathematical Notes, 1971, 10:5, 764–767

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