Zobrazeno 1 - 10
of 119
pro vyhledávání: '"Pulmannova, Sylvia"'
Autor:
Jenčová, Anna, Pulmannová, Sylvia
Publikováno v:
Int J Theor Phys 62, 193 (2023)
For convex and sequential effect algebras, we study spectrality in the sense of Foulis. We show that under additional conditions (strong archimedeanity, closedness in norm and a certain monotonicity property of the sequential product), such effect al
Externí odkaz:
http://arxiv.org/abs/2312.13003
Autor:
Jenčová, Anna, Pulmannová, Sylvia
Order unit spaces with comparability and spectrality properties as introduced by Foulis are studied. We define continuous functional calculus for order unit spaces with the comparability property and Borel functional calculus for spectral order unit
Externí odkaz:
http://arxiv.org/abs/2208.08740
Autor:
Jenčová, Anna, Pulmannová, Sylvia
Publikováno v:
Quantum 6, 849 (2022)
Effect algebras were introduced as an abstract algebraic model for Hilbert space effects representing quantum mechanical measurements. We study additional structures on an effect algebra $E$ that enable us to define spectrality and spectral resolutio
Externí odkaz:
http://arxiv.org/abs/2111.02166
Autor:
Jenčová, Anna, Pulmannová, Sylvia
Publikováno v:
Journal of Mathematical Analysis and Applications, 504 (2021),125360
Two approaches to spectral theory of order unit spaces are compared: the spectral duality of Alfsen and Shultz and the spectral compression bases due to Foulis. While the former approach uses the geometric properties of an order unit space in duality
Externí odkaz:
http://arxiv.org/abs/2102.01628
Autor:
Jencova, Anna, Pulmannova, Sylvia
Publikováno v:
Order 38.3 (2021): 377-389
Dimension effect algebras were introduced in (A. Jencova, S. Pulmannova, Rep. Math. Phys. 62 (2008), 205-218), and it was proved that they are unit intervals in dimension groups. We prove that the effect algebra tensor product of dimension effect alg
Externí odkaz:
http://arxiv.org/abs/1902.11031
Autor:
Jenčová, Anna, Pulmannová, Sylvia
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 April 2023 520(2)
Publikováno v:
Helvetica Physica Acta 68(5), 407-428 (1995)
We investigate the orthoalgebras of certain non-Boolean models which have a classical realization. Our particular concern will be the partition logics arising from the investigation of the empirical propositional structure of Moore and Mealy type aut
Externí odkaz:
http://arxiv.org/abs/1806.04271
Autor:
Foulis, David J., Pulmannova, Sylvia
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 algebra
Externí odkaz:
http://arxiv.org/abs/1709.03801
Autor:
Foulis, David J., Pulmannova, Sylvia
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 iff A is an antilattice. We also generalize several other results of R. Kadison pertaining to infima and suprema in operator a
Externí odkaz:
http://arxiv.org/abs/1706.01719
Autor:
Foulis, David J., Pulmannova, Sylvia
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:
http://arxiv.org/abs/1705.01011