Proceedings of the International School of Physics "Enrico Fermi.", Volume 72N. Zanichelli, 1979 - Nuclear physics |
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Page 31
Let us quote a few significant examples. i) In the historical approach initiated by
BiRKHOFF and von Neumann [2], and ... have the role of derived concepts, being
introduced as iP- valued measures on the set (Boolean algebra) of all Borel sets
...
Let us quote a few significant examples. i) In the historical approach initiated by
BiRKHOFF and von Neumann [2], and ... have the role of derived concepts, being
introduced as iP- valued measures on the set (Boolean algebra) of all Borel sets
...
Page 128
is the von Neumann algebra &S(jtf) of all bounded operators on jf. In this case a
further property is available, namely the fundamental theorem of Gleason [11]: if
dim > 3, then every probability measure on the lattice J"(.5#(jr )) of projectors ...
is the von Neumann algebra &S(jtf) of all bounded operators on jf. In this case a
further property is available, namely the fundamental theorem of Gleason [11]: if
dim > 3, then every probability measure on the lattice J"(.5#(jr )) of projectors ...
Page 129
1, purely lattice theoretically, without reference to noncommutative theory on
algebras, for two reasons at least. The first is that an orthomodular lattice in
general cannot be thought of as the lattice of projections of a von Neumann
algebra, ...
1, purely lattice theoretically, without reference to noncommutative theory on
algebras, for two reasons at least. The first is that an orthomodular lattice in
general cannot be thought of as the lattice of projections of a von Neumann
algebra, ...
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Contents
E Amaldi Radioactivity a pragmatic pillar of probabilistic | 1 |
Statistical fluctuations | 10 |
Final remarks | 21 |
Copyright | |
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