A Loomis-Sikorski theorem for logics
Jiří Binder (1988)
Mathematica Slovaca
Similarity:
Displaying similar documents to “A note on weak hidden variables”
A Loomis-Sikorski theorem for logics
Relatively additive states on quantum logics
Pavel Pták, Hans Weber (2005)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
In this paper we carry on the investigation of partially additive states on quantum logics (see [2], [5], [7], [8], [11], [12], [15], [18], etc.). We study a variant of weak states — the states which are additive with respect to a given Boolean subalgebra. In the first result we show that there are many quantum logics which do not possess any 2-additive central states (any logic possesses an abundance of 1-additive central state — see [12]). In the second result we construct a finite...
On centers and state spaces of logics
Pták, Pavel
Similarity:
On joint distribution in quantum logics. I. Compatible observables
Anatolij Dvurečenskij (1987)
Aplikace matematiky
Similarity:
The notion of a joint distribution in -finite measures of observables of a quantum logic defined on some system of -independent Boolean sub--algebras of a Boolean -algebra is studied. In the present first part of the paper the author studies a joint distribution of compatible observables. It is shown that it may exists, although a joint obsevable of compatible observables need not exist.