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Ergebnisse 1-3 von 15
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Proof . If u 0 , then there is a x , EG such that u ( x , ) 0 . Since A1 , p ( G ) is regular , there exists a v 。 EA1 , ( G ) such that v 。( x ) = 1 , thus u ( x ) v ( x ) 0. It contradicts to uv = 0. Hence u Q. E. D. COROLLARY 3.6 .
Proof . If u 0 , then there is a x , EG such that u ( x , ) 0 . Since A1 , p ( G ) is regular , there exists a v 。 EA1 , ( G ) such that v 。( x ) = 1 , thus u ( x ) v ( x ) 0. It contradicts to uv = 0. Hence u Q. E. D. COROLLARY 3.6 .
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Proof . ( 1 ) Since TEB * , by Hahn - Banach theorem , there exists T'EA * such that < u , T ' > = < u , T > for cach u B and ITI- IT'I . Clearly , T ' is also a continuous multiplicative linear function on A. Next , we prove that supp ...
Proof . ( 1 ) Since TEB * , by Hahn - Banach theorem , there exists T'EA * such that < u , T ' > = < u , T > for cach u B and ITI- IT'I . Clearly , T ' is also a continuous multiplicative linear function on A. Next , we prove that supp ...
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PROPOSITION 3.8 . The condition ( G ) holds for the Banach algebra A1 , ( G ) . Proof . Let T be a continuous multiplicative linear functional on A ,, ( G ) whose support is a single point ( x , ) CG , then ...
PROPOSITION 3.8 . The condition ( G ) holds for the Banach algebra A1 , ( G ) . Proof . Let T be a continuous multiplicative linear functional on A ,, ( G ) whose support is a single point ( x , ) CG , then ...
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