## Linear Operators: Spectral theory |

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Page 888

Thus , in a

defined by the equation AB = A , may be interpreted geometrically as meaning

AX C BX . Stated otherwise the equations ( ii ) assert that the function o → E ( 0 )

is a ...

Thus , in a

**Boolean algebra**of projections , the order relation A Ş B , which isdefined by the equation AB = A , may be interpreted geometrically as meaning

AX C BX . Stated otherwise the equations ( ii ) assert that the function o → E ( 0 )

is a ...

Page 1900

8 . 3 ( 1254 ) Bohr , H . , theorem concerning almost periodic functions , XI . 2 . 4 (

949 )

44 ) representation of , ( 44 ) Boolean ring , definition , ( 40 ) representation of , 1 .

8 . 3 ( 1254 ) Bohr , H . , theorem concerning almost periodic functions , XI . 2 . 4 (

949 )

**Boolean algebra**. ( See also Boolean ring ) definition , ( 43 ) properties , (44 ) representation of , ( 44 ) Boolean ring , definition , ( 40 ) representation of , 1 .

Page 1917

( See Reflexivity ) Regular closure , ( 462 – 463 ) Regular convexity , ( 462 – 463

) Regular element in a B - algebra , IX . 1 . 2 ( 861 ) Regular ... 12 ( 12 )

Representation , for

1 ( 41 ) for ...

( See Reflexivity ) Regular closure , ( 462 – 463 ) Regular convexity , ( 462 – 463

) Regular element in a B - algebra , IX . 1 . 2 ( 861 ) Regular ... 12 ( 12 )

Representation , for

**Boolean algebras**, ( 44 ) for Boolean rings with unit , 1 . 12 .1 ( 41 ) for ...

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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