## Linear Operators: General theory |

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Page 44

On the other hand , if

defined to mean x = xy , and x ' = 1 ta then

On the other hand , if

**B**is a Boolean ring with unit denoted by 1 , then if x Sy isdefined to mean x = xy , and x ' = 1 ta then

**B**is a ... If**B**and C are Boolean**algebras**and h :**B**+ C , then h is said to be a homomorphism , or a Boolean**algebra**...Page 397

Most of the characterizations arising from algebraic considerations are for

complex scalars . The lattice and order properties generally give rise to real C ( S

) spaces . Arens [ 4 ] , however , has given conditions under which a real

Most of the characterizations arising from algebraic considerations are for

complex scalars . The lattice and order properties generally give rise to real C ( S

) spaces . Arens [ 4 ] , however , has given conditions under which a real

**B**-**algebra**is ...Page 495

To prove the theorem it will , by Theorem 3 , suffice to show that u ( E ) is in X ( X )

for every Borel set E . Let

under the natural product ( tg ) ( s ) = f ( s ) g ( s ) , s e S . To see this , let h be a ...

To prove the theorem it will , by Theorem 3 , suffice to show that u ( E ) is in X ( X )

for every Borel set E . Let

**B**be the Borel ... We now prove that**B**, is an**algebra**under the natural product ( tg ) ( s ) = f ( s ) g ( s ) , s e S . To see this , let h be a ...

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### Contents

Special Spaces | 237 |

Convex Sets and Weak Topologies | 409 |

General Spectral Theory | 555 |

Copyright | |

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