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

### From inside the book

Results 1-3 of 88

Page 265

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

Hilbert space is a set of

axioms [1,2]: i) is a linear vector space with complex coefficients, i.e. for any ...

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 followingaxioms [1,2]: i) is a linear vector space with complex coefficients, i.e. for any ...

Page 270

From this closure property together with the above-mentioned theorem it follows

that three

generate a sublattice L(A, B, C) Q £Q which is orthocomplemented and

distributive, i.e. ...

From this closure property together with the above-mentioned theorem it follows

that three

**elements**A, B, C e ZQ, which are pairwise commensurable, willgenerate a sublattice L(A, B, C) Q £Q which is orthocomplemented and

distributive, i.e. ...

Page 294

Therefore, for all

hand, since from £,(4.2) the relation B<A^B follows, the

implicative lattice are always commensurable. Therefore, summarizing these

results ...

Therefore, for all

**elements**of L(A, B, C) the distributive law holds. On the otherhand, since from £,(4.2) the relation B<A^B follows, the

**elements**A, B e L, of animplicative lattice are always commensurable. Therefore, summarizing these

results ...

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

E Amaldi Radioactivity a pragmatic pillar of probabilistic | 1 |

Statistical fluctuations | 10 |

Final remarks | 21 |

Copyright | |

24 other sections not shown

### Other editions - View all

### Common terms and phrases

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