## Linear Operators, Part 2 |

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Page 884

The study of ideal theory in B - algebra was inaugurated by Gelfand [ 1 ] to whom

most of the

here is that given by Arens [ 6 ] , who has also ( Arens [ 7 ] ) obtained this

...

The study of ideal theory in B - algebra was inaugurated by Gelfand [ 1 ] to whom

most of the

**results**given in Section 1 are due . ... The proof of this lemma givenhere is that given by Arens [ 6 ] , who has also ( Arens [ 7 ] ) obtained this

**result**in...

Page 1156

Thus no point po needs to be removed and so M , can be taken equal to M . Thus

we have the following

discrete Abelian group , its character group R is compact . The

Thus no point po needs to be removed and so M , can be taken equal to M . Thus

we have the following

**result**, which is dual to Theorem 8 . 9 THEOREM . If R is adiscrete Abelian group , its character group R is compact . The

**results**of ...Page 1419

Clearly , f has a single minimum f ( mi + 1 ) between Sit1 and 8i + 2 , a single

maximum f ( mi + 2 ) between sit2 and sits , etc . We will show that | t ( m ; ) | 2 \ | (

mi + 1 ) | 2 \ | ( mi + 2 ) | 2 . . . , which will clearly establish the desired

the ...

Clearly , f has a single minimum f ( mi + 1 ) between Sit1 and 8i + 2 , a single

maximum f ( mi + 2 ) between sit2 and sits , etc . We will show that | t ( m ; ) | 2 \ | (

mi + 1 ) | 2 \ | ( mi + 2 ) | 2 . . . , which will clearly establish the desired

**result**. Onthe ...

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

Copyright | |

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