## Linear Operators: Spectral operators |

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Page 2094

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

and have obtained a number of results concerning them . They show that if T is

spectral , then 7 * has a unique resolution of the identity of class ( X ) ;

if ...

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

and have obtained a number of results concerning them . They show that if T is

spectral , then 7 * has a unique resolution of the identity of class ( X ) ;

**moreover**,if ...

Page 2284

... 0 , and the measures Me = m * E ( • ) X4 , now defined on the Borel sets of the

plane P are positive and vanish outside en .

continuous linear map Tn of En X into = 1 L1 ( P , B , M ) with densely defined

inverse .

... 0 , and the measures Me = m * E ( • ) X4 , now defined on the Borel sets of the

plane P are positive and vanish outside en .

**Moreover**, there is a naturalcontinuous linear map Tn of En X into = 1 L1 ( P , B , M ) with densely defined

inverse .

Page 2469

17 LEMMA . Suppose that we call on element f eH ' very smooth and finite if ( i )

there exists an integer n such that f : ( a ) = 0 for i > n ; ( ii ) for 1 sisn , we have f : (

a ) = 0 if a ly .

17 LEMMA . Suppose that we call on element f eH ' very smooth and finite if ( i )

there exists an integer n such that f : ( a ) = 0 for i > n ; ( ii ) for 1 sisn , we have f : (

a ) = 0 if a ly .

**Moreover**, there exists a function fi defined on R which is infinitely ...### What people are saying - Write a review

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