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

Abstract

top
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.

How to cite

top

Chovanec, 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

top
  1. S. P. Gudder H. C. Mullikin, Measure theoretic convergences of observables and operators, Journal of Mathematical Physics, 14 (1973), 234-242. (1973) MR0334747
  2. B. Riečan, A new approach to some notions of statistical quantum mechanics, Busefal, 35, (1988), 4-6. (1988) 
  3. A. Dvurečenskij, On existence of probability measures on fuzzy measurable spaces, (to appear in Fuzzy Sets and Systems). MR1128000
  4. K. Piasecki, 10.1016/0165-0114(85)90093-4, Fuzzy Sets and Systems, 17 (1985), 271-284. (1985) MR0819364DOI10.1016/0165-0114(85)90093-4
  5. A. Dvurečenskij A. Tirpáková, A note on a sum of observables in F-quantum spaces and its applications, Busefal, 35 (1988), 132-137. (1988) 
  6. K. Piasecki, On fuzzy F-measures, In: Proc. First Winter School on Measure Theory, Liptovský Ján, Jan. 10-15, 1988, 108-112. (1988) MR1000200
  7. A. Dvurečenskij, On a representation of observables in fuzzy measurable spaces, (to appear in J. Math. Anal. Appl.). MR1372199
  8. A. Dvurečenskij B. Riečan, On joint distribution of observables for F-quantum spaces, (to appear in Fuzzy Sets and Systems). MR1089012
  9. T. Neubrunn B. Riečan, Measure and Integral, (Slovak). VEDA Bratislava 1981. (1981) MR0657765

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.