## Linear Operators: Spectral theory |

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Page 884

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

most of the

Lemma 3.5 by using a fairly deep

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 . ... In their proof , they provedLemma 3.5 by using a fairly deep

**result**of Šilov that was not generally available .Page 1156

Thus no point po needs to be removed and so Me 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 Me 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

We will show that it ( m ; ) 2 / ( m +1 ) | \ / ( m +2 ) 2 ... , which will clearly establish

the desired

t ) and fi ( t ) = + | ( 28i + 1 - t ) . We have ( -1 ) " = 91-1 ) , tí = 9 , where gi ( t ) = 9 ...

We will show that it ( m ; ) 2 / ( m +1 ) | \ / ( m +2 ) 2 ... , which will clearly establish

the desired

**result**. On the interval [ si + 1 , Mi + 1 ] , consider the two functions - | (t ) and fi ( t ) = + | ( 28i + 1 - t ) . We have ( -1 ) " = 91-1 ) , tí = 9 , where gi ( t ) = 9 ...

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