## Linear Operators: Spectral theory |

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Page 1051

Statement ( i ) is

consequences of Definition 1 and of the formulae SexP ( x ) dx = Send ( Ux ) dx ,

Sen 9 ( ax ) dx 101 - SenQ ( x ) dx , which are valid for every Lebesgue integrable

...

Statement ( i ) is

**evident**from Definition 1. Statements ( ii ) and ( iii ) are**evident**consequences of Definition 1 and of the formulae SexP ( x ) dx = Send ( Ux ) dx ,

Sen 9 ( ax ) dx 101 - SenQ ( x ) dx , which are valid for every Lebesgue integrable

...

Page 1347

This procedure has the

function of the complex variable 2 ; but it has drawbacks which , though less

self adjoint ...

This procedure has the

**evident**advantage that it makes o ; ( :, 2 ) an entirefunction of the complex variable 2 ; but it has drawbacks which , though less

**evident**, are nevertheless decisive . Suppose , for example , that we study theself adjoint ...

Page 1756

( B ) The uniqueness of the function V of the theorem is an

of statement ( i ) . Moreover , statement ( 1 ) enables us to reduce the proof of the

existence of the function V to the proof of the following statement . ( ii ) For each r

...

( B ) The uniqueness of the function V of the theorem is an

**evident**consequenceof statement ( i ) . Moreover , statement ( 1 ) enables us to reduce the proof of the

existence of the function V to the proof of the following statement . ( ii ) For each r

...

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Linear Operators, Part 2: Spectral Theory, Self Adjoint Operators in Hilbert ... Nelson Dunford,Jacob T. Schwartz No preview available - 1988 |

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