Mielnik's Probability Spaces and Characterization of Inner Product Spaces
Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 15 (1973), Exposé no. 6, 8 p.
@article{RCP25_1973__15__A6_0,
     author = {Stanojevi\'c, C. V.},
     title = {Mielnik's {Probability} {Spaces} and {Characterization} of {Inner} {Product} {Spaces}},
     journal = {Les rencontres physiciens-math\'ematiciens de Strasbourg -RCP25},
     note = {talk:6},
     pages = {1--8},
     publisher = {Institut de Recherche Math\'ematique Avanc\'ee - Universit\'e Louis Pasteur},
     volume = {15},
     year = {1973},
     language = {en},
     url = {http://www.numdam.org/item/RCP25_1973__15__A6_0/}
}
TY  - JOUR
AU  - Stanojević, C. V.
TI  - Mielnik's Probability Spaces and Characterization of Inner Product Spaces
JO  - Les rencontres physiciens-mathématiciens de Strasbourg -RCP25
N1  - talk:6
PY  - 1973
SP  - 1
EP  - 8
VL  - 15
PB  - Institut de Recherche Mathématique Avancée - Université Louis Pasteur
UR  - http://www.numdam.org/item/RCP25_1973__15__A6_0/
LA  - en
ID  - RCP25_1973__15__A6_0
ER  - 
%0 Journal Article
%A Stanojević, C. V.
%T Mielnik's Probability Spaces and Characterization of Inner Product Spaces
%J Les rencontres physiciens-mathématiciens de Strasbourg -RCP25
%Z talk:6
%D 1973
%P 1-8
%V 15
%I Institut de Recherche Mathématique Avancée - Université Louis Pasteur
%U http://www.numdam.org/item/RCP25_1973__15__A6_0/
%G en
%F RCP25_1973__15__A6_0
Stanojević, C. V. Mielnik's Probability Spaces and Characterization of Inner Product Spaces. Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 15 (1973), Exposé no. 6, 8 p. http://www.numdam.org/item/RCP25_1973__15__A6_0/

1. G. Birkhoff and J. Von Neumann ; Ann. Math. 37, 823-843 (1936). | JFM | MR | Zbl

2. C. Piron ; Helv. Phys. Acta. 37, 439-468 (1964). | MR | Zbl

3. B. Mielnik, Geometry of Quantum States, Commun. Math. Physics 9, 55-80 (1968). | MR | Zbl

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. | Zbl

5. E.R. Lorch, On certain implications which characterize Hilbert space ; Ann. of Math. (2) (1948) 523-532. | MR | Zbl

6. M.M. Day, Some Characterizations of Inner Product Spaces, Trans. Amer. Math. Soc. 62 (1947) 320-337 | MR | Zbl

7. P. Jordan and J. Von Neumann, On inner products in linear spaces ; Ann. of Math. (2) 36 (1935), 719-732. | JFM | MR

8. D.A. Senechalle, A Characterization of Inner Product Spaces ; Proc. Amer. Math. Soc. vol. 19, No. 6 (1968), 1306-1312. | MR | Zbl

9. B. Mielnik, Theory of filters ; Commun. Math. Phys. 15, 1-46, (1969). | MR | Zbl

10. G. Lumer, Semi-inner point product spaces, Trans. Amer. Math. Soc. 100 (1961) 29-43. | MR | Zbl

11. J.R. Giles, Classes of semi-inner product spaces ; Trans. Amer. Math. Soc. 129 (1967) 436-446. | MR | Zbl