A Quantum Theoretical Characterization of Uniformly Convex Spaces
Blass, A. R. ; Stanojevic, C. V.
Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 21 (1974), p. 1-11 / Harvested from Numdam
Publié le : 1974-01-01
@article{RCP25_1974__21__A1_0,
     author = {Blass, A. R. and Stanojevic, C. V.},
     title = {A Quantum Theoretical Characterization of Uniformly Convex Spaces},
     journal = {Les rencontres physiciens-math\'ematiciens de Strasbourg -RCP25},
     volume = {21},
     year = {1974},
     pages = {1-11},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RCP25_1974__21__A1_0}
}
Blass, A. R.; Stanojevic, C. V. A Quantum Theoretical Characterization of Uniformly Convex Spaces. Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 21 (1974) pp. 1-11. http://gdmltest.u-ga.fr/item/RCP25_1974__21__A1_0/

[1] G. Birkhoff and J. Von Neumann, The logic of quantum mechanics, Ann. of Math. (2) 37 (1936) pp. 823-843. | JFM 62.1061.04 | MR 1503312 | Zbl 0015.14603

[2] J. A. Clarkson, Uniformly convex spaces, Trans. Amer. Math. Soc. 40 (1936) pp. 396-414. | JFM 62.0460.04 | MR 1501880

[3] G. Kothe, Topologische Lineare Raume I, Springer-Verlag, Berlin (1966). | MR 194863 | Zbl 0137.31301

[4] B. Mielnik, Geometry of quantum states, Comm. Math. Phys. 9 (1968) pp. 55-80. | MR 231603 | Zbl 0164.29501

[5] C. V. Stanojevic, Mielnik's probability manifolds and inner product spaces, Bull. Acad. Polon. Sci. Ser. Sci. Math. Astron. Phys. 18 (1970) pp. 531-532. | MR 273380 | Zbl 0199.44101

[6] C. V. Stanojevic, Mielnik's probability spaces and characterization of inner product spaces, Trans. Amer. Math. Soc. 183 (1973) pp. 441-448. | MR 328562 | Zbl 0272.46016