<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></abstract>

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.

Measures and idempotents in the non-commutative situation

Fakultät für Mathematik und Informatik, Fern Universität, Universitätsstrasse 11D–58084 Hagen, GERMANY

Tatra Mountains Mathematical Publications

{"article-title":"Measures and idempotents in the non-commutative situation"}

We investigate measures on sequential orthomodular posets with values in a vector space or a (not necessarily commutative) algebra with reasonable sequential...

Measures and idempotents in the non-commutative situation

Published Online: Nov 13, 2012

Page range: 49 - 58

DOI: https://doi.org/10.2478/v10127-011-0023-3

Keywords
sequential space, weakly Hausdorff sequential orthomodular poset (WHSOP), sequentially convex space, polymeasure, tensor product, sequentially convex algebra, idempotent, multiplicative measure, involution.

This content is open access.

Measures and idempotents in the non-commutative situation

Published Online: Nov 13, 2012

Page range: 49 - 58

DOI: https://doi.org/10.2478/v10127-011-0023-3

Keywordssequential space, weakly Hausdorff sequential orthomodular poset (WHSOP), sequentially convex space, polymeasure, tensor product, sequentially convex algebra, idempotent, multiplicative measure, involution.

This content is open access.

Keywords
sequential space, weakly Hausdorff sequential orthomodular poset (WHSOP), sequentially convex space, polymeasure, tensor product, sequentially convex algebra, idempotent, multiplicative measure, involution.