Navegar

Colección

Datos Estadísticas

Artículo

Estamos trabajando para incorporar este artículo al repositorio
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

This work is devoted to generalizing the Lebesgue decomposition and the Radon-Nikodym theorem to Gleason measures. For that purpose we introduce a notion of integral for operators with respect to a Gleason measure. Finally, we give an example showing that the Gleason theorem does not hold in non-separable Hubert spaces. © Instytut Matematyczny PAN, 2007.

Registro:

Documento: Artículo
Título:Some remarks on Gleason measures
Autor:De Nápoli, P.; Mariani, M.C.
Filiación:Departamento de Matemática, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina
Department of Mathematical Sciences, New Mexico State University, Las Cruces, NM 88003-0001, United States
Año:2007
Volumen:179
Número:2
Página de inicio:99
Página de fin:115
DOI: http://dx.doi.org/10.4064/sm179-2-1
Título revista:Studia Mathematica
Título revista abreviado:Stud. Math.
ISSN:00393223
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00393223_v179_n2_p99_DeNapoli

Referencias:

  • Aarnes, J.F., Physical states on a C* -algebra (1969) Acta Math, 122, pp. 161-172
  • Aarnes, J.F., Quasi-states on C* -algebras (1970) Trans. Amer. Math. Soc, 149, pp. 601-625
  • Bunce, L.J., Maitland Wright, J.D., The Mackey-Gleason problem (1992) Bull. Amer. Math. Soc, 26, pp. 255-298
  • Chevalier, G., Dvurečenskij, A., Svozil, K., Piron's and Bell's geometric lemmas and Gleason's theorem (2000) Found. Phys, 30, pp. 1737-1755
  • Cotlar, M., Cignoli, R., (1971) Nociones de Espacios Normados, , Eudeba
  • Dunford, N., Schwartz, J., (1963) Linear Operators, , Interscience
  • Gleason, A.M., Measures on the closed subspaces of a Hilbert space (1957) J. Math. Mech, 6, pp. 885-893
  • Gunson, J., (1972) Physical states on quantum logics. I, 17, pp. 295-311. , Ann. Inst. H. Poincarwé Sect. A
  • Hemmick, D., (1996) Hidden variables and nonlocality in quantum mechanics, , http://www.intercom.net/~biedermn/Dissert/DissertPage.html, Ph.D. thesis
  • Maeda, S., Probability measures on projections in von Neumann algebras (1989) Rev. Math. Phys, 1, pp. 235-290
  • Messiah, A., (1958) Quantum Mechanics, , Wiley
  • von Neumann, J., (1955) Mathematical Foundations of Quantum Mechanics, , Princeton Univ. Press
  • Richman, F., Bridges, D., A constructive proof of Gleason's theorem (1999) J. Funct. Anal, 162, pp. 287-312
  • F. Riesz and B. Sz.-Nagy, Functional Analysis, Frederick Ungar, 1955; Ringrose, J.R., (1971) Compact Non-self-adjoint Operators, , Van Nostrand Reinhold
  • Rudin, W., (1974) Real and Complex Analysis, , McGraw-Hill

Citas:

---------- APA ----------
De Nápoli, P. & Mariani, M.C. (2007) . Some remarks on Gleason measures. Studia Mathematica, 179(2), 99-115.
http://dx.doi.org/10.4064/sm179-2-1
---------- CHICAGO ----------
De Nápoli, P., Mariani, M.C. "Some remarks on Gleason measures" . Studia Mathematica 179, no. 2 (2007) : 99-115.
http://dx.doi.org/10.4064/sm179-2-1
---------- MLA ----------
De Nápoli, P., Mariani, M.C. "Some remarks on Gleason measures" . Studia Mathematica, vol. 179, no. 2, 2007, pp. 99-115.
http://dx.doi.org/10.4064/sm179-2-1
---------- VANCOUVER ----------
De Nápoli, P., Mariani, M.C. Some remarks on Gleason measures. Stud. Math. 2007;179(2):99-115.
http://dx.doi.org/10.4064/sm179-2-1