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

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Results 1-3 of 52

Page 1925

The problem of extending this reduction theory to non -

of the most important unsolved problems in the theory of linear operations .

Consider , for instance , the problem of finding a resolution of the identity for the

formal ...

The problem of extending this reduction theory to non -

**normal**operators is oneof the most important unsolved problems in the theory of linear operations .

Consider , for instance , the problem of finding a resolution of the identity for the

formal ...

Page 1978

To illustrate more clearly the relationship between Theorem 6 and the well known

result for self adjoint operators , we observe that a self adjoint operator or , more

generally , a

To illustrate more clearly the relationship between Theorem 6 and the well known

result for self adjoint operators , we observe that a self adjoint operator or , more

generally , a

**normal**operator in AP is a spectral operator . For if A is a**normal**...Page 2005

where h is Hilbert ' s singular integral ( 34 ) , is an operator in A which is not self

adjoint , and not

and b , a spectral operator . To see this , equation ( 35 ) shows that the condition

...

where h is Hilbert ' s singular integral ( 34 ) , is an operator in A which is not self

adjoint , and not

**normal**unless il a - b ) is self adjoint but is , for many choices of aand b , a spectral operator . To see this , equation ( 35 ) shows that the condition

...

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