## Linear Operators: Spectral theory |

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Page 1301

They are clearly linearly

it would follow that t has a boundary value at a which is

, ... , An - 1 , and hence has at least n + 1

They are clearly linearly

**independent**. If the assertion of the corollary were false ,it would follow that t has a boundary value at a which is

**independent**of the set A., ... , An - 1 , and hence has at least n + 1

**independent**boundary values at a .Page 1306

The following table gives the number of linearly

= 0 square integrable at a or b when I ( a ) +0 . There are four possibilities as

shown by the discussion above . At a Number of linearly

The following table gives the number of linearly

**independent**solutions of ( 1-2 ) 0= 0 square integrable at a or b when I ( a ) +0 . There are four possibilities as

shown by the discussion above . At a Number of linearly

**independent**solutions ...Page 1311

Nelson Dunford, Jacob T. Schwartz. with end points a , b . The operator T = T ( T )

will be an operator obtained from t by the imposition of a set , which may be

vacuous , of k linearly

is ...

Nelson Dunford, Jacob T. Schwartz. with end points a , b . The operator T = T ( T )

will be an operator obtained from t by the imposition of a set , which may be

vacuous , of k linearly

**independent**boundary conditions B ; ( ) 0 , 1 , ... , k ; i.e. , Tis ...

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