## Linear Operators: Spectral operators |

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Page 1989

The basic

is defined in terms of the Fourier transform F on H by the equation ( 15 ) elo ) = F -

1u ( o ) F , 0e , where ulo ) is the multiplication projection defined as ( u ( o ) ) ( s )

...

The basic

**spectral measure**e on which is used to define the algebras A and APis defined in terms of the Fourier transform F on H by the equation ( 15 ) elo ) = F -

1u ( o ) F , 0e , where ulo ) is the multiplication projection defined as ( u ( o ) ) ( s )

...

Page 2107

been studied in connection with ( partially ) ordered spaces by Schaefer [ 7 , 10 ,

11 ] , Schaefer and Walsh [ 1 ] , and Walsh [ 1 , 2 , 3 ] . We shall give a condensed

...

**Spectral measures**, locally convex spaces and order .**Spectral measures**havebeen studied in connection with ( partially ) ordered spaces by Schaefer [ 7 , 10 ,

11 ] , Schaefer and Walsh [ 1 ] , and Walsh [ 1 , 2 , 3 ] . We shall give a condensed

...

Page 2110

One of the most surprising results due to Walsh [ 2 ] is the result that if u is an

equicontinuous Borel

in a space E in which closed bounded sets are compact ( for example , a Montel ...

One of the most surprising results due to Walsh [ 2 ] is the result that if u is an

equicontinuous Borel

**spectral measure**into the space of con . tinuous operatorsin a space E in which closed bounded sets are compact ( for example , a Montel ...

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