Linear Operators: Part III: Spectral Operators [by] Nelson Dunford and Jacob T. Schwartz, with the Assistance of William G. Bade and Robert G. Bartle, Volume 1 |
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Page 2209
The uniformly closed operator algebra generated by a complete Boolean algebra B of projections in a B - space X ... It is clear that every operator in the uniformly closed algebra generated by B has the required invariance property .
The uniformly closed operator algebra generated by a complete Boolean algebra B of projections in a B - space X ... It is clear that every operator in the uniformly closed algebra generated by B has the required invariance property .
Page 2361
Thus , F * ( A ) is uniformly bounded for in UE Vi , and hence , by the maximum modulus theorem , is uniformly bounded for å in UEN Uj . Since the set { U } , i 2 N , covers the whole plane , with the possible exception of a bounded set ...
Thus , F * ( A ) is uniformly bounded for in UE Vi , and hence , by the maximum modulus theorem , is uniformly bounded for å in UEN Uj . Since the set { U } , i 2 N , covers the whole plane , with the possible exception of a bounded set ...
Page 2382
where Q = So 19 ( 8 ) | ds ; this follows since we have shown above that Luhul 3 2011-12 We shall now show that the second expression on the right of ( 14 ) converges to zero as lel → 00 , remaining in P + , uniformly for 0 St < 0 .
where Q = So 19 ( 8 ) | ds ; this follows since we have shown above that Luhul 3 2011-12 We shall now show that the second expression on the right of ( 14 ) converges to zero as lel → 00 , remaining in P + , uniformly for 0 St < 0 .
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Contents
SPECTRAL OPERATORS | 1924 |
Introduction | 1927 |
Terminology and Preliminary Notions | 1929 |
Copyright | |
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