Zobrazeno 1 - 10
of 94
pro vyhledávání: '"David J. Foulis"'
Autor:
David J. Foulis
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2003, Iss 44, Pp 2787-2801 (2003)
Let G be a unital group with a finite unit interval E, let n be the number of atoms in E, and let κ be the number of extreme points of the state space Ω(G). We introduce canonical order-preserving group homomorphisms ξ:ℤn→G and ρ:G→ℤκ li
Externí odkaz:
https://doaj.org/article/317a6fdc2cdf4ca0a85642d07263db4e
Autor:
Sylvia Pulmannová, David J. Foulis
Publikováno v:
Demonstratio Mathematica, Vol 51, Iss 1, Pp 1-7 (2018)
We prove that if A is a synaptic algebra and the orthomodular lattice P of projections in A is complete, then A is a factor if and only if A is an antilattice.We also generalize several other results of R. Kadison pertaining to infima and suprema in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3498fab95aad045f9f5503233074676b
http://www.degruyter.com/view/j/dema.2018.51.issue-1/dema-2018-0002/dema-2018-0002.xml?format=INT
http://www.degruyter.com/view/j/dema.2018.51.issue-1/dema-2018-0002/dema-2018-0002.xml?format=INT
Autor:
David J. Foulis, Sylvia Pulmannová
Publikováno v:
Order. 36:1-17
We define and study an alternative partial order, called the spectral order, on a synaptic algebra—a generalization of the self-adjoint part of a von Neumann algebra. We prove that if the synaptic algebra A is norm complete (a Banach synaptic algeb
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::48deb077c3c72f5d10594341e40aa40b
https://doi.org/10.1007/s11083-018-9451-x
https://doi.org/10.1007/s11083-018-9451-x
Autor:
David J. Foulis, Sylvia Pulmannov
Publikováno v:
International Journal of Theoretical Physics. 57:1103-1119
Using a representation theorem of Erik Alfsen, Frederic Schultz, and Erling Stormer for special JB-algebras, we prove that a synaptic algebra is norm complete (i.e., Banach) if and only if it is isomorphic to the self-adjoint part of a Rickart C*-alg
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8a1fa12ab3b4bbced7a2c82247fdea5e
https://doi.org/10.1007/s10773-017-3641-y
https://doi.org/10.1007/s10773-017-3641-y
Autor:
Sylvia Pulmannová, David J. Foulis
Publikováno v:
Mathematica Slovaca. 66:469-482
A synaptic algebra is a generalization of the self-adjoint part of a von Neumann algebra. For a synaptic algebra we study two weakened versions of commutativity, namely quasi-commutativity and operator commutativity, and we give natural conditions on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d135e951f325dce6ee0cebed5c2959b6
https://doi.org/10.1515/ms-2015-0151
https://doi.org/10.1515/ms-2015-0151
Autor:
Sylvia Pulmannová, David J. Foulis
Publikováno v:
Mathematica Slovaca. 64:751-776
A synaptic algebra is a generalization of the Jordan algebra of self-adjoint elements of a von Neumann algebra. We study symmetries in synaptic algebras, i.e., elements whose square is the unit element, and we investigate the equivalence relation on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0c2f77529764624f6a5d25542b182789
https://doi.org/10.2478/s12175-014-0238-2
https://doi.org/10.2478/s12175-014-0238-2
Autor:
Sylvia Pulmannová, David J. Foulis
Publikováno v:
Order. 32:189-204
As is well-known, every generalized effect algebra can be embedded as a maximal proper ideal in an effect algebra called its unitization. We show that a necessary and sufficient condition that a generalized pseudo effect algebra can similarly be embe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b7ed67a5da0fb53f73fb0f0fea2543af
https://doi.org/10.1007/s11083-014-9325-9
https://doi.org/10.1007/s11083-014-9325-9
Autor:
David J. Foulis, S. Pulmannová
Publikováno v:
Demonstratio Mathematica, Vol 47, Iss 1, Pp 1-21 (2014)
In this article, we study the center of a generalized effect algebra (GEA), relate it to the exocenter, and in case the GEA is centrally orthocomplete (a COGEA), relate it to the exocentral cover system. Our main results are that the center of a COGE
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::31a2c58ef83b1073f37509326b604ad1
https://doi.org/10.2478/dema-2014-0001
https://doi.org/10.2478/dema-2014-0001
Autor:
David J. Foulis, Sylvia Pulmannová
Publikováno v:
Foundations of Physics. 43:948-968
A synaptic algebra is a generalization of the self-adjoint part of a von Neumann algebra. In this article we extend to synaptic algebras the type-I/II/III decomposition of von Neumann algebras, AW*-algebras, and JW-algebras.
27 pages
27 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3c322087f49d287e57cf1c8ddf0a067b
https://doi.org/10.1007/s10701-013-9727-3
https://doi.org/10.1007/s10701-013-9727-3
Autor:
Sylvia Pulmannová, David J. Foulis
Publikováno v:
Algebra universalis. 69:45-81
In this article, we show that certain generalized boolean subalgebras of the exocenter of a generalized effect algebra (GEA) determine hull systems on the GEA in a manner analogous to the determination of a hull mapping on an effect algebra (EA) by i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::71ffe0f81b9c5bc3155b33f0e2f4b2a2
https://doi.org/10.1007/s00012-012-0214-z
https://doi.org/10.1007/s00012-012-0214-z