37 citations · 67 across the 3 of their papers we have counts for
5 papers
Abstract Hermitian Algebras I. Spectral Resolution
David J. Foulis, Sylvia Pulmannova
We refer to the real Jordan Banach algebra of bounded Hermitian operators on a Hilbert space as a Hermitian algebra. We define an abstract Hermitian algebra (AH-algebra) to be the…
Sharp and fuzzy observables on effect algebras
A. Jencova, S. Pulmannova, E. Vincekova
Observables on effect algebras and their fuzzy versions obtained by means of confidence measures (Markov kernels) are studied. It is shown that, on effect algebras with the (E)-pro…
How sharp are PV measures?
A. Jencova, S. Pulmannova
Properties of sharp observables (normalized PV measures) in relation to smearing by a Markov kernel are studied. It is shown that for a sharp observable defined on a standard B…
Double product integrals and Enriquez quantisation of Lie bialgebras II: The quantum Yang-Baxter equation
R. L. Hudson, S. Pulmannova
For a Lie algebra with Lie bracket got by taking commutators in a nonunital associative algebra L, let T(L) be the vector space of tensors over L equipped with the Ito Hopf algebra…
Notes on coarse grainings and functions of observables
A. Dvurecenskij, P. Lahti, S. Pulmannova +1
Using the Naimark dilation theory we investigate the question under what conditions an observable which is a coarse graining of another observable is a function of it. To this end,…