Physical states on quantum logics. I
Gunson, J.
Annales de l'I.H.P. Physique théorique, Tome 17 (1972), p. 295-311 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1972-01-01
@article{AIHPA_1972__17_4_295_0,
     author = {Gunson, J.},
     title = {Physical states on quantum logics. I},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {17},
     year = {1972},
     pages = {295-311},
     mrnumber = {336364},
     zbl = {0252.46083},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1972__17_4_295_0}
}

Gunson, J. Physical states on quantum logics. I. Annales de l'I.H.P. Physique théorique, Tome 17 (1972) pp. 295-311. http://gdmltest.u-ga.fr/item/AIHPA_1972__17_4_295_0/

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

[2] G.W. Mackey, The mathematical foundations of quantum mechanics, Benjamin, New York, 1963. | Zbl 0114.44002

[3] J. Gunson, On the algebraic structure of quantum mechanics (Commun. Math. Phys., t. 6, 1967, p. 262-285). | MR 230525 | Zbl 0171.46804

[4] V.S. Varadarajan, Geometry of quantum theory, vol. I, Van Nostrand, Princeton, 1968. | MR 471674 | Zbl 0155.56802

[5] A.M. Gleason, Measures on the closed subspaces of a Hilbert space (J. Math. Mech., t. 6, 1957, p. 885-894). | MR 96113 | Zbl 0078.28803

[6] E.B. Davies, private communication.

[7] J.F. Aarnes, Quasi-states on C*-algebras (Trans. Amer. Math. Soc., t. 149, 1970, p. 601-625). | MR 282602 | Zbl 0212.15403

[8] F.J. Murray and J. Von Neumann, On rings of operators, II (Trans. Amer. Math. Soc., t. 41, 1937, p. 208-248). | JFM 63.1008.03 | MR 1501899 | Zbl 0017.36001

[9] J.E. Turner, Ph. D. Thesis, University of Birmingham, 1968.

[10] Y.C. Wong, Isoclinic n-planes in Euclidean 2n-space, Clifford parallels in elliptic (2n-1)-space and the Hurwitz matrix equations (Mem. Amer. Math. Soc., No. 41, 1961). | MR 145437 | Zbl 0124.13401

[11] J. Dixmier, Les algèbres d'opérateurs dans l'espace hilbertien (algèbres de von Neumann), Gauthier-Villars, Paris, 1957, p. 229. | MR 94722 | Zbl 0088.32304

[12] See ref. [11], p. 3.

[13] See ref. [11], p. 62.

[14] See ref. [11], p. 288.

[15] K. Yosida, Functional analysis, Springer, Berlin, 1965, p. 69. | MR 180824 | Zbl 0126.11504

[16] T. Kato, Perturbation theory for linear operators, Springer, Berlin, 1966, p. 432. | MR 407617 | Zbl 0148.12601

[17] T.H. Hildebrandt, Introduction to the theory of integration, Academic Press, New York, 1963, ch. II, theorem 15.3. | MR 154957 | Zbl 0112.28302

[18] J. Glimm, On a certain class of operator algebras (Trans. Amer. Math. Soc., t. 95. 1960, p. 318-340). | MR 112057 | Zbl 0094.09701