# Fuzzy equality and convergences for $F$-observables in $F$-quantum spaces

Ferdinand Chovanec; František Kôpka

Applications of Mathematics (1991)

- Volume: 36, Issue: 1, page 32-45
- ISSN: 0862-7940

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topChovanec, Ferdinand, and Kôpka, František. "Fuzzy equality and convergences for $F$-observables in $F$-quantum spaces." Applications of Mathematics 36.1 (1991): 32-45. <http://eudml.org/doc/15658>.

@article{Chovanec1991,

abstract = {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.},

author = {Chovanec, Ferdinand, Kôpka, František},

journal = {Applications of Mathematics},

keywords = {$F$-quantum space; $F$-state; $F$-observable; representation theorem of $F$-observables; convergence of $F$-observables; soft fuzzy $\sigma $-algebras; fuzzy equalities; fuzzy inequalities; fuzzy sets; convergence of observables; F-states; P-measures) and F-observables on F- quantum spaces; soft fuzzy -algebras; Fuzzy equalities; fuzzy inequalities; fuzzy sets},

language = {eng},

number = {1},

pages = {32-45},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Fuzzy equality and convergences for $F$-observables in $F$-quantum spaces},

url = {http://eudml.org/doc/15658},

volume = {36},

year = {1991},

}

TY - JOUR

AU - Chovanec, Ferdinand

AU - Kôpka, František

TI - Fuzzy equality and convergences for $F$-observables in $F$-quantum spaces

JO - Applications of Mathematics

PY - 1991

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 36

IS - 1

SP - 32

EP - 45

AB - 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.

LA - eng

KW - $F$-quantum space; $F$-state; $F$-observable; representation theorem of $F$-observables; convergence of $F$-observables; soft fuzzy $\sigma $-algebras; fuzzy equalities; fuzzy inequalities; fuzzy sets; convergence of observables; F-states; P-measures) and F-observables on F- quantum spaces; soft fuzzy -algebras; Fuzzy equalities; fuzzy inequalities; fuzzy sets

UR - http://eudml.org/doc/15658

ER -

## References

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- B. Riečan, A new approach to some notions of statistical quantum mechanics, Busefal, 35, (1988), 4-6. (1988)
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- A. Dvurečenskij A. Tirpáková, A note on a sum of observables in F-quantum spaces and its applications, Busefal, 35 (1988), 132-137. (1988) Zbl0662.03057
- K. Piasecki, On fuzzy F-measures, In: Proc. First Winter School on Measure Theory, Liptovský Ján, Jan. 10-15, 1988, 108-112. (1988) Zbl0692.60001MR1000200
- A. Dvurečenskij, On a representation of observables in fuzzy measurable spaces, (to appear in J. Math. Anal. Appl.). Zbl0854.28010MR1372199
- A. Dvurečenskij B. Riečan, On joint distribution of observables for F-quantum spaces, (to appear in Fuzzy Sets and Systems). Zbl0814.03041MR1089012
- T. Neubrunn B. Riečan, Measure and Integral, (Slovak). VEDA Bratislava 1981. (1981) Zbl0485.28001MR0657765

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