We introduce a fuzzy equality for $F$-observables on an $F$-quantum space which enables us to characterize different kinds of convergences, and to represent them by pointwise functions on an appropriate measurable space.
@article{104442,
author = {Ferdinand Chovanec and Franti\v sek K\^opka},
title = {Fuzzy equality and convergences for $F$-observables in $F$-quantum spaces},
journal = {Applications of Mathematics},
volume = {36},
year = {1991},
pages = {32-45},
zbl = {0732.28010},
mrnumber = {1093481},
language = {en},
url = {http://dml.mathdoc.fr/item/104442}
}
Chovanec, Ferdinand; Kôpka, František. Fuzzy equality and convergences for $F$-observables in $F$-quantum spaces. Applications of Mathematics, Tome 36 (1991) pp. 32-45. http://gdmltest.u-ga.fr/item/104442/
Measure theoretic convergences of observables and operators, Journal of Mathematical Physics, 14 (1973), 234-242. (1973) | MR 0334747
A new approach to some notions of statistical quantum mechanics, Busefal, 35, (1988), 4-6. (1988)
On existence of probability measures on fuzzy measurable spaces, (to appear in Fuzzy Sets and Systems). | MR 1128000
Probability of fuzzy events defined as denumerable addivity measure, Fuzzy Sets and Systems, 17 (1985), 271-284. (1985) | Article | MR 0819364
A note on a sum of observables in F-quantum spaces and its applications, Busefal, 35 (1988), 132-137. (1988)
On fuzzy F-measures, In: Proc. First Winter School on Measure Theory, Liptovský Ján, Jan. 10-15, 1988, 108-112. (1988) | MR 1000200
On a representation of observables in fuzzy measurable spaces, (to appear in J. Math. Anal. Appl.). | MR 1372199
On joint distribution of observables for F-quantum spaces, (to appear in Fuzzy Sets and Systems). | MR 1089012
Measure and Integral, (Slovak). VEDA Bratislava 1981. (1981) | MR 0657765