40 citations · 154 across the 14 of their papers we have counts for
15 papers
Complementary observables in quantum mechanics
Jukka Kiukas, Pekka Lahti, Juha-Pekka Pellonpää +1
We review the notion of complementarity of observables in quantum mechanics, as formulated and studied by Paul Busch and his colleagues over the years. In addition, we provide furt…
Operator integrals and sesquilinear forms
Daniel Dubin, Jukka Kiukas, Juha-Pekka Pellonpää +1
We consider various systematic ways of defining unbounded operator valued integrals of complex functions with respect to (mostly) positive operator measures and positive sesquiline…
Modules, completely positive maps, and a generalized KSGNS construction
Juha-Pekka Pellonpää, Kari Ylinen
A very general KSGNS type dilation theorem in the context of right (not necessarily Hilbert) modules over -algebras is presented. The proof uses Kolmogorov type decompositions…
Semispectral measures as convolutions and their moment operators
Jukka Kiukas, Pekka Lahti, Kari Ylinen
The moment operators of a semispectral measure having the structure of the convolution of a positive measure and a semispectral measure are studied, with paying attention to the na…
Diagonalization and representation results for nonpositive sesquilinear form measures
Tuomas Hytonen, Juha-Pekka Pellonpaa, Kari Ylinen
We study decompositions of operator measures and more general sesquilinear form measures into linear combinations of positive parts, and their diagonal vector expansions. The u…
Positive sesquilinear form measures and generalized eigenvalue expansions
Tuomas Hytönen, Juha-Pekka Pellonpää, Kari Ylinen
Positive operator measures (with values in the space of bounded operators on a Hilbert space) and their generalizations, mainly positive sesquilinear form measures, are considered…