## Geometry of quantum theory, Volume 1 |

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### Contents

CHAPTER | 3 |

Projective Geometries | 20 |

Lattice Isomorphisms and Semilinear | 34 |

Copyright | |

6 other sections not shown

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6-bilinear a-homomorphism a-linear asserts associated with SC Banach space bilinear form Boolean algebra Boolean subalgebra Borel sets bounded Chapter closed linear manifold collinear complemented modular lattice completes the proof conclude conjugate Consequently containing convex automorphism countable define denote Desarguesian dim(a dimension function distinct points division ring elements of SC equation follows frame function geometry hence Hilbert space implies independent induced involutive anti-automorphism lattice sum Let SC line joining linear isomorphism modular lattice Moreover morphism Neumann nonnegative nonsingular observable associated obviously one-one one-parameter group orthocomplementation partially ordered partially ordered set plane point at infinity projective quantum mechanical quaternions real number real valued Borel satisfied self-adjoint operator sequence shows space of dimension standard logic subalgebra of SC sublogic Suppose symmetry theorem trace class trivial valued Borel function vector space write