On the Lebesgue decomposition of a function relative to a p -ideal of an orthomodular lattice

Anna Bruna D'Andrea; Paolo de Lucia

Mathematica Slovaca (1991)

  • Volume: 41, Issue: 4, page 423-430
  • ISSN: 0139-9918

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D'Andrea, Anna Bruna, and de Lucia, Paolo. "On the Lebesgue decomposition of a function relative to a $p$-ideal of an orthomodular lattice." Mathematica Slovaca 41.4 (1991): 423-430. <http://eudml.org/doc/31830>.

@article{DAndrea1991,
author = {D'Andrea, Anna Bruna, de Lucia, Paolo},
journal = {Mathematica Slovaca},
keywords = {decomposition; finitely additive group-valued function; orthomodular lattice; -ideal},
language = {eng},
number = {4},
pages = {423-430},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On the Lebesgue decomposition of a function relative to a $p$-ideal of an orthomodular lattice},
url = {http://eudml.org/doc/31830},
volume = {41},
year = {1991},
}

TY - JOUR
AU - D'Andrea, Anna Bruna
AU - de Lucia, Paolo
TI - On the Lebesgue decomposition of a function relative to a $p$-ideal of an orthomodular lattice
JO - Mathematica Slovaca
PY - 1991
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 41
IS - 4
SP - 423
EP - 430
LA - eng
KW - decomposition; finitely additive group-valued function; orthomodular lattice; -ideal
UR - http://eudml.org/doc/31830
ER -

References

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  2. BLYTH T. S., JANOWITZ M. F., Residuation Theory, Pergamon Press, Oxford, 1972. (1972) Zbl0301.06001MR0396359
  3. CAPEK P., Théoremes de décomposition en théorie de la mesure, C. R. Acad. Sc. Paris 285 A (1977), 537-539. (1977) Zbl0364.28002MR0470169
  4. CAPEK P., Decomposition theorems in Measure Theory, Math. Slovaca 31 (1981), 53 69. (1981) Zbl0452.28002MR0619507
  5. d'ANDREA A. B., de LUCIA P., MORALES P., The Lebesgue Decomposition Theorem and the Nikodym Convergence Theorem on an orthomodular poset, Atti Sem. Mat. Fis. Univ. Modena XXXIX (1991), 137-158. (1991) Zbl0747.28004MR1111759
  6. DUNFORD N., SCHWARTZ J. T., Linear Operators, Part I. J. Wiley and Sons, New York, 1988. (1988) Zbl0635.47003MR1009162
  7. FICKER V., An abstract formulation of the Lebesgue decomposition theorem, J. Austral. Math. Soc. 12 (1971), 101-105. (1971) Zbl0203.35901MR0274692
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  10. HOLLAND S. S. Jr, An orthocomplete orthomodular lattice is complete, Proc. Amer. Math. Soc. 24 (1970), 717-718. (1970) MR0256949
  11. KALMBACH G., Orthomodular Lattices, Academic Press, London, 1983. (1983) Zbl0528.06012MR0716496
  12. PALKO V., On the Lebesgue decomposition of Gleason measures, Časopis Pěst. Mat 112 (1987), 1-5. (1987) Zbl0621.46058MR0880929
  13. PALKO V., A measure decomposition theorem, Math. Slovaca 38 (1988), 167-169. (1988) Zbl0635.28003MR0945370
  14. RÜTTIMANN G. T., Non Commutative Measure Theory, Habilitationsschrift, Universität Bern, 1980. (1980) 
  15. RÜTTIMANN G. T., Decomposition of cones of measures, Atti Sem. Mat. Fis. Univ. Modena XXXVIII (1990), 109-121. (1990) Zbl0739.46012MR1076452
  16. RÜTTIMANN G. T., SCHINDLER C., The Lebesgue decomposition of measures on orthomodular posets, Quart. J. Math. Oxford 37 (1986), 321-345. (1986) Zbl0617.46065MR0854631
  17. SCHINDLER C., Decomposition of Measures on Orthologics, Doctorat Dissertation, Universität Bern, 1986. (1986) 
  18. SCHINDLER C., The Lebesgue decomposition of measures on finite orthomodular posets, In: Proc. of First Winter School on Measure Theory, Liptovský Ján, eds. A. Dvurečenskij- S. Pulmannová. 1988, pp. 146-151. (1988) Zbl0681.28003MR1000207
  19. TARANTINO C., Decomposition theorems for finitely additive functions, Ricerche di Mat. 37 (1988), 137-148. (1988) MR1021961

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