Mielnik's Probability Spaces and Characterization of Inner Product Spaces

C. V. Stanojević

Recherche Coopérative sur Programme n°25 (1973)

  • Volume: 15, page 1-8

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Stanojević, C. V.. "Mielnik's Probability Spaces and Characterization of Inner Product Spaces." Recherche Coopérative sur Programme n°25 15 (1973): 1-8. <http://eudml.org/doc/274101>.

@article{Stanojević1973,
author = {Stanojević, C. V.},
journal = {Recherche Coopérative sur Programme n°25},
language = {eng},
pages = {1-8},
publisher = {Institut de Recherche Mathématique Avancée - Université Louis Pasteur},
title = {Mielnik's Probability Spaces and Characterization of Inner Product Spaces},
url = {http://eudml.org/doc/274101},
volume = {15},
year = {1973},
}

TY - JOUR
AU - Stanojević, C. V.
TI - Mielnik's Probability Spaces and Characterization of Inner Product Spaces
JO - Recherche Coopérative sur Programme n°25
PY - 1973
PB - Institut de Recherche Mathématique Avancée - Université Louis Pasteur
VL - 15
SP - 1
EP - 8
LA - eng
UR - http://eudml.org/doc/274101
ER -

References

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  1. 1. G. Birkhoff and J. von Neumann ; Ann. Math.37, 823-843 (1936). Zbl0015.14603MR1503312JFM62.1061.04
  2. 2. C. Piron ; Helv. Phys. Acta.37, 439-468 (1964). Zbl0141.23204MR204048
  3. 3. B. Mielnik, Geometry of Quantum States, Commun. Math. Physics9, 55-80 (1968). Zbl0164.29501MR231603
  4. 4. C.V. Stanojević, Mielnik's Probability Manifolds and Inner Product Spaces ; Bulletin De L'Académie Polonaise Des Sciences, Série Des Sciences Math. Astron. Et Phys. vol XVIII, No. 9, 1970. Zbl0199.44101
  5. 5. E.R. Lorch, On certain implications which characterize Hilbert space ; Ann. of Math. (2) (1948) 523-532. Zbl0031.21901MR26249
  6. 6. M.M. Day, Some Characterizations of Inner Product Spaces, Trans. Amer. Math. Soc.62 (1947) 320-337 Zbl0034.21703MR22312
  7. 7. P. Jordan and J. von Neumann, On inner products in linear spaces ; Ann. of Math. (2) 36 (1935), 719-732. Zbl61.0435.05MR1503247JFM61.0435.05
  8. 8. D.A. Senechalle, A Characterization of Inner Product Spaces ; Proc. Amer. Math. Soc. vol. 19, No. 6 (1968), 1306-1312. Zbl0172.39802MR239404
  9. 9. B. Mielnik, Theory of filters ; Commun. Math. Phys.15, 1-46, (1969). Zbl0182.59601MR258357
  10. 10. G. Lumer, Semi-inner point product spaces, Trans. Amer. Math. Soc.100 (1961) 29-43. Zbl0102.32701MR133024
  11. 11. J.R. Giles, Classes of semi-inner product spaces ; Trans. Amer. Math. Soc.129 (1967) 436-446. Zbl0157.20103MR217574

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