Informácia o dokumente
In: Tatra Mountains Mathematical Publications, vol. 49, no. 2
Measures and idempotents in the non-commutative situation
Rok, strany: 2011, 49 - 58
sequential space, weakly Hausdorff sequential orthomodular poset (WHSOP), sequentially convex space, polymeasure, tensor product, sequentially convex algebra, idempotent, multiplicative measure, involution
We investigate measures on sequential orthomodular posets with values in a vector space or a (not necessarily commutative) algebra with reasonable sequential topologies, using a universal property. Unfortunately, the universal measure and the universal multiplicative measure need not coincide any more as in the commutative situation. This may have applications in quantum physics.
Börger, R. 2011. Measures and idempotents in the non-commutative situation. In Tatra Mountains Mathematical Publications, vol. 49, no.2, pp. 49-58. 1210-3195.
Börger, R. (2011). Measures and idempotents in the non-commutative situation. Tatra Mountains Mathematical Publications, 49(2), 49-58. 1210-3195.