## Linear Operators: Spectral operators |

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Page 1947

Let B1 , . . . , Bx be a finite collection of commuting

projections in a Hilbert space H . Then there exists a

operator B in H with a

a self ...

Let B1 , . . . , Bx be a finite collection of commuting

**bounded**Boolean algebras ofprojections in a Hilbert space H . Then there exists a

**bounded**self adjointoperator B in H with a

**bounded**everywhere defined inverse such that BEB - 1 isa self ...

Page 2239

n + 00 n → n + 00 Since f xe is a

operational calculus for

) E ...

n + 00 n → n + 00 Since f xe is a

**bounded**function , the operator T ( f Xe ) is a**bounded**operator . If x is in Esē ) X as well as in E ( e ) X , it follows from theoperational calculus for

**bounded**functions ( cf . XVII . 2 . 10 ) that T ( fxe ) = T ( fxe) E ...

Page 2361

Let U , be a sequence of

and suppose that limi - . minze ui [ 2 ] = 00 . Let Vi be the ... AcVi , Heo ( T ) Let do

( T ) , and let P be an operator such that P ( T - 101 ) - v is

Let U , be a sequence of

**bounded**domains covering the whole complex plane ,and suppose that limi - . minze ui [ 2 ] = 00 . Let Vi be the ... AcVi , Heo ( T ) Let do

( T ) , and let P be an operator such that P ( T - 101 ) - v is

**bounded**. Then ( a ) if ...### What people are saying - Write a review

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