## Linear Operators: Spectral Theory : Self Adjoint Operators in Hilbert Space, Volume 2 |

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Page 1938

N and an operator S which is of scalar type in accordance with the following

definition . + 1 DEFINITION . A

case it is a spectral operator which satisfies the equation S = f AE ( da ) , where E

is ...

N and an operator S which is of scalar type in accordance with the following

definition . + 1 DEFINITION . A

**bounded operator**S is said to be of scalar type incase it is a spectral operator which satisfies the equation S = f AE ( da ) , where E

is ...

Page 2169

This shows that ( vi ) holds for every

continuous function g . A repetition of this argument shows that it also holds if f

and g are both

commute and ...

This shows that ( vi ) holds for every

**bounded**Borel function f and everycontinuous function g . A repetition of this argument shows that it also holds if f

and g are both

**bounded**Borel functions . Thus the**operators**f ( T ) and g ( T )commute and ...

Page 2239

Spectral Theory : Self Adjoint Operators in Hilbert Space Nelson Dunford, Jacob

Theodore Schwartz. Since f Xe is a bounded function , the operator T ( f Xe ) is a

Spectral Theory : Self Adjoint Operators in Hilbert Space Nelson Dunford, Jacob

Theodore Schwartz. Since f Xe is a bounded function , the operator T ( f Xe ) is a

**bounded operator**. If x is in E ( 7 ) X as well as in E ( e ) X , it follows from the ...### What people are saying - Write a review

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