Kelly's theorem from the duality of LP and Tychonoff's theorem

Vincenzo Aversa; K. P. S. Bhaskara Rao

Mathematica Slovaca (2002)

  • Volume: 52, Issue: 3, page 309-314
  • ISSN: 0232-0525

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Aversa, Vincenzo, and Bhaskara Rao, K. P. S.. "Kelly's theorem from the duality of LP and Tychonoff's theorem." Mathematica Slovaca 52.3 (2002): 309-314. <http://eudml.org/doc/31956>.

@article{Aversa2002,
author = {Aversa, Vincenzo, Bhaskara Rao, K. P. S.},
journal = {Mathematica Slovaca},
keywords = {Boolean algebra; strictly positive charge; Kelley's theorem; duality; linear programming},
language = {eng},
number = {3},
pages = {309-314},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Kelly's theorem from the duality of LP and Tychonoff's theorem},
url = {http://eudml.org/doc/31956},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Aversa, Vincenzo
AU - Bhaskara Rao, K. P. S.
TI - Kelly's theorem from the duality of LP and Tychonoff's theorem
JO - Mathematica Slovaca
PY - 2002
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 52
IS - 3
SP - 309
EP - 314
LA - eng
KW - Boolean algebra; strictly positive charge; Kelley's theorem; duality; linear programming
UR - http://eudml.org/doc/31956
ER -

References

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  1. BHASKARA RAO K. P. S., Some important theorems in measure theory, Rend. Inst. Mat. Univ. Trieste 29 (1998), 81-113. (1998) Zbl0928.28001MR1696023
  2. BHASKARA RAO K. P. S.-BHASKARA RAO M., Theory of Charges, Academic Press, London-New York, 1983. (1983) MR0751777
  3. COTTLE R. W.-PANG JONG-SHI-STONE R. E, The Linear Complementarity Problem, Academic Press, London New York, 1992. (1992) MR1150683
  4. FREMLIN D. H., Measure algebras, In: Handbook of Boolean algebras, Vol. III (J. Donald Monk, ed.), North-Holland, Amsterdam, 1989, pp. 887-980. (1989) MR0991611
  5. KELLEY J. L., Measures on Boolean algebras, Pacific J. Math. 9 (1959), 1165-1177. (1959) Zbl0087.04801MR0108570
  6. SIU-AH, NG., A new proof of Kelley's theorem, Fund. Math. 140 (1991), 63-67. (1991) Zbl0817.28003MR1139087
  7. WILHELM M., Existence of additive functionals on semigroups and the Von Newmann minimax theorem, Colloq. Math. 35 (1976), 267-274. (1976) MR0414133

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