## Proceedings of the International School of Physics "Enrico Fermi.", Volume 72N. Zanichelli, 1979 - Nuclear physics |

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Page 58

Of course, if A is a

spa<e of its own. The following is a relevant property of

A, <.].>) is a transition probability space, then all bases of A have the same ...

Of course, if A is a

**subspace**of (.^, <'|->), then (A, <.].>) is a transition probabilityspa<e of its own. The following is a relevant property of

**subspaces**[6, 8]: (5.7) if (A, <.].>) is a transition probability space, then all bases of A have the same ...

Page 78

An ^l-measurement with loss of information is different from an autonomous B-

measurement, even though the

eivenvalues an, an, a,k, is identical with the

eigenvalue b, of B.

An ^l-measurement with loss of information is different from an autonomous B-

measurement, even though the

**subspace**corresponding to the set ofeivenvalues an, an, a,k, is identical with the

**subspace**corresponding to theeigenvalue b, of B.

Page 268

Furthermore, it can be shown for

the axioms of an orthocomplcmented ... For every

precisely one bounded linear operator PA:3f^A with the domain D(PA) — and the

...

Furthermore, it can be shown for

**subspaces**of Hilbert space that, in addition tothe axioms of an orthocomplcmented ... For every

**subspace**A e there existsprecisely one bounded linear operator PA:3f^A with the domain D(PA) — and the

...

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### Contents

E Amaldi Radioactivity a pragmatic pillar of probabilistic | 1 |

Statistical fluctuations | 10 |

Final remarks | 21 |

Copyright | |

24 other sections not shown

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3-geometry algebra applied assertion atoms axioms Boolean Borel field Borel sets calculus concept conditional probability conditionalization consider corresponding countable course defined definition denote derived deterministic dialog dialog-game disjoint dynamics edited Einstein elements equation equivalent exists experiment finite formal function geometry given Gleason's theorem Hence Hilbert space implies induction initial interaction interpretation irreversible Journ linear magnitude Math mathematical means Neumann non-Boolean notion observable orthogonal orthomodular lattice particle photon Phys physical quantity physical system physical theories physicists positive precision probabilistic probability measure probability space probability theory problem procedure quantum logic quantum mechanics quantum theory quantum-logical question radioactive random variable real numbers relation relative frequency relf represented respect result rule sequence space-time special relativity spin statistical operator subset subspace superspace theorem tion transformation truth universal constants vector velocity von Neumann algebra zero