On the individual ergodic theorem in D -posets of fuzzy sets

Beloslav Riečan

Czechoslovak Mathematical Journal (2000)

  • Volume: 50, Issue: 4, page 673-680
  • ISSN: 0011-4642

Abstract

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Calculus for observables in a space of functions from an abstract set to the unit interval is developed and then the individual ergodic theorem is proved.

How to cite

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Riečan, Beloslav. "On the individual ergodic theorem in $D$-posets of fuzzy sets." Czechoslovak Mathematical Journal 50.4 (2000): 673-680. <http://eudml.org/doc/30593>.

@article{Riečan2000,
abstract = {Calculus for observables in a space of functions from an abstract set to the unit interval is developed and then the individual ergodic theorem is proved.},
author = {Riečan, Beloslav},
journal = {Czechoslovak Mathematical Journal},
keywords = {individual ergodic theorem; $d$-posets of fuzzy sets; state and observable; individual ergodic theorem; -posets of fuzzy sets; state and observable},
language = {eng},
number = {4},
pages = {673-680},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the individual ergodic theorem in $D$-posets of fuzzy sets},
url = {http://eudml.org/doc/30593},
volume = {50},
year = {2000},
}

TY - JOUR
AU - Riečan, Beloslav
TI - On the individual ergodic theorem in $D$-posets of fuzzy sets
JO - Czechoslovak Mathematical Journal
PY - 2000
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 50
IS - 4
SP - 673
EP - 680
AB - Calculus for observables in a space of functions from an abstract set to the unit interval is developed and then the individual ergodic theorem is proved.
LA - eng
KW - individual ergodic theorem; $d$-posets of fuzzy sets; state and observable; individual ergodic theorem; -posets of fuzzy sets; state and observable
UR - http://eudml.org/doc/30593
ER -

References

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  1. 10.1016/0022-247X(91)90181-X, J. Math. Anal. Appl. 169 (1991), 111–143. (1991) MR1135265DOI10.1016/0022-247X(91)90181-X
  2. 10.1007/BF00672820, Internat. J. Theoret. Phys. 33 (1994), 819–850. (1994) MR1286161DOI10.1007/BF00672820
  3. On a representation of observables in D -posets of fuzzy sets, Tatra Mt. Math. Publ. 1 (1992), 19–24. (1992) MR1230458
  4. 10.1007/BF00676259, Internat. J. Theoret. Phys 34 (1995), 1495–1500. (1995) MR1353692DOI10.1007/BF00676259
  5. D -posets, Math. Slovaca 44 (1994), 21–34. (1994) MR1290269
  6. 10.1006/jmaa.1993.1109, J. Math. Anal. Appl. 174 (1993), 178–193. (1993) Zbl0777.60005MR1212925DOI10.1006/jmaa.1993.1109
  7. On the joint observables in some quantum structures, Tatra Mt. Math. Publ. 3 (1993), 183–190. (1993) MR1278533
  8. Upper and lower limits of sequences of observables in D -posets of fuzzy sets, Math. Slovaca 46 (1996), 419–431. (1996) MR1472636
  9. Ergodic Theory—Introductory Lectures, Springer, Berlin, 1975. (1975) Zbl0299.28012MR0480949

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