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This book has grown out of my research interests in the theory of
oper- ator algebras, orthomodular structures and mathematical
foundations of quantum theory. It is based on a series of lectures
on measure theory on nonboolean operator structures which I
prepared for Ph. D. students in Workshops on Measure Theory and
Real Analysis in Italy (Gorizia 1999, Grado 2001) and which I have
delivered at the conferences of the Interna- tional Quantum
Structures Association in Berlin 1996, Cesena 2001, and Vienna
2002. I have worked on these subjects in the framework of Prague's
Semi- nar on Mathematical Formalism of Quantum Theory founded by P.
Ptak. Many results presented in the book were also obtained during
my longer research stays abroad, in particular at the Department of
Mathematics, Reading University, U. K. (1993) and at the
Mathematical Institute of Er- langen University, Germany
(1996-1997, 2000 and 2003). Both the research activity and the work
on the book was supported by a few international projects I
participated in. I would like to acknowledge the support of
European Community that supported my research stay in Reading
University (Grant COST, Noncommutative Measure Theory and von
Neumann Algebras, 1993). I am also very much grateful to the
Alexan- der von Humboldt Foundation, Bonn, for long-term support of
my research and for awarding me the grants that enabled me work at
Erlangen Uni- versity in 1996-1997, 2000 and 2003.
This book has grown out of my research interests in the theory of
oper- ator algebras, orthomodular structures and mathematical
foundations of quantum theory. It is based on a series of lectures
on measure theory on nonboolean operator structures which I
prepared for Ph. D. students in Workshops on Measure Theory and
Real Analysis in Italy (Gorizia 1999, Grado 2001) and which I have
delivered at the conferences of the Interna- tional Quantum
Structures Association in Berlin 1996, Cesena 2001, and Vienna
2002. I have worked on these subjects in the framework of Prague's
Semi- nar on Mathematical Formalism of Quantum Theory founded by P.
Ptak. Many results presented in the book were also obtained during
my longer research stays abroad, in particular at the Department of
Mathematics, Reading University, U. K. (1993) and at the
Mathematical Institute of Er- langen University, Germany
(1996-1997, 2000 and 2003). Both the research activity and the work
on the book was supported by a few international projects I
participated in. I would like to acknowledge the support of
European Community that supported my research stay in Reading
University (Grant COST, Noncommutative Measure Theory and von
Neumann Algebras, 1993). I am also very much grateful to the
Alexan- der von Humboldt Foundation, Bonn, for long-term support of
my research and for awarding me the grants that enabled me work at
Erlangen Uni- versity in 1996-1997, 2000 and 2003.
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