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

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Page 2005

4 the spectral operators with non - zero radical parts are the only ones not

to normal operators . Thus both of the operators in ( 57 ) are scalar type operators

, and for any a and b in A , they are

4 the spectral operators with non - zero radical parts are the only ones not

**similar**to normal operators . Thus both of the operators in ( 57 ) are scalar type operators

, and for any a and b in A , they are

**similar**to normal operators . In the case of ...Page 2400

Friedrichs ' Method of

discussion of an elegant method , due to K . 0 . Friedrichs , which makes it

possible to show , in a variety of cases , that an operator is spectral , and even

much ...

Friedrichs ' Method of

**Similar**Operators In the present section we shall begin ourdiscussion of an elegant method , due to K . 0 . Friedrichs , which makes it

possible to show , in a variety of cases , that an operator is spectral , and even

much ...

Page 2401

Two operators S and T in a B - space Y are called

bounded operator U in Y with a bounded inverse such that S = U - TU . Note that

Definition 2 applies to unbounded operators as well as to bounded operators .

Two operators S and T in a B - space Y are called

**similar**if there exists abounded operator U in Y with a bounded inverse such that S = U - TU . Note that

Definition 2 applies to unbounded operators as well as to bounded operators .

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