## Linear Operators: Spectral operators |

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Page 2413

We may now

depending only on P , D , and c , such that the operators T and T + Ô ( A ) are

similar whenever | | A | | < £ . Q . E . D . Theorem 1 and its corollaries are readily ...

We may now

**apply**Theorem 1 to conclude that there exists a positive constant εdepending only on P , D , and c , such that the operators T and T + Ô ( A ) are

similar whenever | | A | | < £ . Q . E . D . Theorem 1 and its corollaries are readily ...

Page 2418

We may now

present theorem follows immediately . Q . E . D . As the reader must surely

suspect , Theorems 1 and 8 can also be applied if we let T be the operator f ( s ) >

sf ( s ) in ...

We may now

**apply**Theorem 8 and Corollary 9 , and the conclusion of thepresent theorem follows immediately . Q . E . D . As the reader must surely

suspect , Theorems 1 and 8 can also be applied if we let T be the operator f ( s ) >

sf ( s ) in ...

Page 2498

The

Kato ( 9 , 10 ) . The extension to perturbation of unbounded self adjoint operators

was given by S . T . Kuroda [ 3 , I ) . Kuroda [ 3 , II ] develops variants of the wave

...

The

**application**of this inequality to prove the general Theorem 4 . 9 is due toKato ( 9 , 10 ) . The extension to perturbation of unbounded self adjoint operators

was given by S . T . Kuroda [ 3 , I ) . Kuroda [ 3 , II ] develops variants of the wave

...

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