## Linear Operators: Spectral operators |

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Page 2094

12 ) that if X is a weakly complete B - space , then any prespectral operator is

automatically spectral , and so has a

and Dowson [ 1 ] have considered prespectral operators in some detail and have

...

12 ) that if X is a weakly complete B - space , then any prespectral operator is

automatically spectral , and so has a

**unique**resolution of the identity . Berksonand Dowson [ 1 ] have considered prespectral operators in some detail and have

...

Page 2143

Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert G. Bartle. 11

THEOREM ( A , B ) . Let T be a bounded linear operator in the complex B - space

X . Then there is a

E ( S ) ...

Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert G. Bartle. 11

THEOREM ( A , B ) . Let T be a bounded linear operator in the complex B - space

X . Then there is a

**unique**spectral measure on the field S ( T ) with the propertiesE ( S ) ...

Page 2184

It will be seen in the following theorem that an arbitrary isomorphic

homeomorphism of the algebra A ( B ) onto the algebra of continuous functions

on its structure space may be represented by an integral with respect to a

It will be seen in the following theorem that an arbitrary isomorphic

homeomorphism of the algebra A ( B ) onto the algebra of continuous functions

on its structure space may be represented by an integral with respect to a

**uniquely**determined ...### What people are saying - Write a review

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