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On Representation Theorems For Observables In Weakly Complemented Posets

On Representation Theorems For Observables In Weakly Complemented Posets DEMONSTRATIOMATHEMATICAVol. XXIIINo 41990Anatolij Dvurecenskij, Frantisek KopkaON REPRESENTATION THEOREMS FOR OBSERVABLESIN W E A K L Y C O M P L E M E N T E DPOSETSIn t h i s note, w e p r e s e n t a g e n e r a l i z a t i o n oft a t i o n lemma for tr-homomorphisms o n q u a n t u mcr-homomorphisms o n w e a k l yspecial case we obtainquantum spacesarepresentationv a r i a n t of t h e e r g o d i c t h e o r e m in F - q u a n t u mlemmaoftospacesa n d p r o b a b l y some o t h e r limit theorems, t o okind([1])cr-posets.([2],[3]). T h i s r e s u l t e n a b l e s u sW e shall w o r k w i t h a specialrepresen-logicsorthocomplementedalsoatoAsinaF-provea([4],[5])([7]).partiallyorderedsets.D e f i n i t i o n 1.a — > a'A partially ordered set Mamappingis s a i d t o b e a http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Demonstratio Mathematica de Gruyter

On Representation Theorems For Observables In Weakly Complemented Posets

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Publisher
de Gruyter
Copyright
© by Anatolij Dvurečenskij
ISSN
0420-1213
eISSN
2391-4661
DOI
10.1515/dema-1990-0409
Publisher site
See Article on Publisher Site

Abstract

DEMONSTRATIOMATHEMATICAVol. XXIIINo 41990Anatolij Dvurecenskij, Frantisek KopkaON REPRESENTATION THEOREMS FOR OBSERVABLESIN W E A K L Y C O M P L E M E N T E DPOSETSIn t h i s note, w e p r e s e n t a g e n e r a l i z a t i o n oft a t i o n lemma for tr-homomorphisms o n q u a n t u mcr-homomorphisms o n w e a k l yspecial case we obtainquantum spacesarepresentationv a r i a n t of t h e e r g o d i c t h e o r e m in F - q u a n t u mlemmaoftospacesa n d p r o b a b l y some o t h e r limit theorems, t o okind([1])cr-posets.([2],[3]). T h i s r e s u l t e n a b l e s u sW e shall w o r k w i t h a specialrepresen-logicsorthocomplementedalsoatoAsinaF-provea([4],[5])([7]).partiallyorderedsets.D e f i n i t i o n 1.a — > a'A partially ordered set Mamappingis s a i d t o b e a

Journal

Demonstratio Mathematica – de Gruyter

Published: Oct 1, 1990

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