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

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Page 65

Every bounded operator T in 3tf can be written uniquely as T = T1 + iT*, where T1

=^t_ and T„ = i±-^- are self-adjoint, then a

operators can be extended in a unique way to a

Neumann ...

Every bounded operator T in 3tf can be written uniquely as T = T1 + iT*, where T1

=^t_ and T„ = i±-^- are self-adjoint, then a

**linear**functional on self-adjointoperators can be extended in a unique way to a

**linear**functional on the vonNeumann ...

Page 128

... and complex conjugation; the expectation is a

integral) on this algebra. Consider now the characteristic function of an element b

of 8$, call it #<,(«), it is obviously measurable and its expectation is, by definition,

...

... and complex conjugation; the expectation is a

**linear**positive functional (anintegral) on this algebra. Consider now the characteristic function of an element b

of 8$, call it #<,(«), it is obviously measurable and its expectation is, by definition,

...

Page 265

The lattice of subspaces of Hilbert space. 1'1. The Hilbert space. - The abstract

Hilbert space is a set of elements called vectors f,g,..., which satisfy the following

axioms [1,2]: i) is a

The lattice of subspaces of Hilbert space. 1'1. The Hilbert space. - The abstract

Hilbert space is a set of elements called vectors f,g,..., which satisfy the following

axioms [1,2]: i) is a

**linear**vector space with complex coefficients, i.e. for any ...### What people are saying - Write a review

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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