Extension theorems (vector measures on quantum logics)

Anna Avallone; Jan Hamhalter

Czechoslovak Mathematical Journal (1996)

  • Volume: 46, Issue: 1, page 179-192
  • ISSN: 0011-4642

How to cite

top

Avallone, Anna, and Hamhalter, Jan. "Extension theorems (vector measures on quantum logics)." Czechoslovak Mathematical Journal 46.1 (1996): 179-192. <http://eudml.org/doc/30299>.

@article{Avallone1996,
author = {Avallone, Anna, Hamhalter, Jan},
journal = {Czechoslovak Mathematical Journal},
keywords = {group-valued measures; orthogonal measures; vector measures; set-representable logics},
language = {eng},
number = {1},
pages = {179-192},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Extension theorems (vector measures on quantum logics)},
url = {http://eudml.org/doc/30299},
volume = {46},
year = {1996},
}

TY - JOUR
AU - Avallone, Anna
AU - Hamhalter, Jan
TI - Extension theorems (vector measures on quantum logics)
JO - Czechoslovak Mathematical Journal
PY - 1996
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 46
IS - 1
SP - 179
EP - 192
LA - eng
KW - group-valued measures; orthogonal measures; vector measures; set-representable logics
UR - http://eudml.org/doc/30299
ER -

References

top
  1. 10.1112/jlms/49.1.133, J. London Math. Soc. 49 (1994), 133–149. (1994) MR1253018DOI10.1112/jlms/49.1.133
  2. Vector measure, 1977, Math. Surveys n. 15. (1977) MR0453964
  3. Linear Operators, Part I, Wiley-Interscience, New York, 1958. (1958) MR1009162
  4. Gleason Theorem and its Application, Kluwer Academic Publishers, Dordrecht (Boston), London, 1993. MR1256736
  5. Random measures on a logic, Demonstratio Mathematica 14 (1981), 305–320. (1981) MR0632289
  6. Stochastic Methods in Quantum Mechanics, North Holland, Elsevier, 1979. (1979) Zbl0439.46047MR0543489
  7. Orthogonal vector measures on projection lattices in a Hilbert space, Comment. Math. Univ. Carolinae 31 (1990), 655–660. (1990) Zbl0743.46067MR1091363
  8. States on W * -algebras and orthogonal vector measures, Proc. Amer. Math. Soc. 110 (1990), 803-806. (1990) Zbl0743.46063MR1036987
  9. 10.1007/BF00674335, Int. J. of Theor. Phys. 31 (1990), 3–13. (1990) MR1142249DOI10.1007/BF00674335
  10. 10.1112/blms/26.4.367, Bull. London. Math. Soc. 26, (1994), to appear. (1994) Zbl0830.46055MR1302070DOI10.1112/blms/26.4.367
  11. Hilbert space-valued measures on Boolean algebras (extensions), Acta Math. Univ. Comen. LX, 2 (1991), 1-6. (1991) MR1155246
  12. Hilbert space-valued states on quantum logics, Appl. Math. 37 (1992), 51–61. (1992) MR1152157
  13. 10.1007/BF00736013, Foundations of Physics 23 (1993), 999–1024. (1993) MR1237047DOI10.1007/BF00736013
  14. Gleason measures, Prob. Anal. and Related Topics 2 (1979), 69–104. (1979) Zbl0479.46047MR0556679
  15. Fundamentals of the theory of operators algebras Vol. I, Academic Press, Inc., 1986. (1986) MR0859186
  16. Extensions of additive set functions with values in a topological group, Bull. Acad. Pol. Sc. XXII 1 (1974), 19–27. (1974) Zbl0275.28013MR0349947
  17. On extensions of states on logics, Bull. Polish Acad. Sciences Mathematics 9–10 (1985), 493–497. (1985) MR0826375
  18. Orthomodular Structures as Quantum Logics, Kluwer Academic Publishers, Dordrecht (Boston), London, 1991. MR1176314
  19. Valuations on Complemented Lattices, Preprint (1993). Zbl0843.06005MR1353726
  20. FN-topologies and measures, (1984), Notes on Lessons at University of Naples. (1984) 

NotesEmbed ?

top

You must be logged in to post comments.