## Linear Operators, Part 2 |

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Page 1302

Corollary 23 and from Theorems 19 and 20 that d ' and d ' exceed by n the

number of independent boundary values at a and at b

statement of the present corollary is then evident . Q.E.D. 26 COROLLARY . (

Kodaira ) Under ...

Corollary 23 and from Theorems 19 and 20 that d ' and d ' exceed by n the

number of independent boundary values at a and at b

**respectively**. Thestatement of the present corollary is then evident . Q.E.D. 26 COROLLARY . (

Kodaira ) Under ...

Page 1326

for all solutions of ( 1-1 ) 0 = 0 ( ( 7 * — ) o = 0 ) which are squareintegrable in a

neighborhood of a and b

at a and at b

for all solutions of ( 1-1 ) 0 = 0 ( ( 7 * — ) o = 0 ) which are squareintegrable in a

neighborhood of a and b

**respectively**, and which satisfy the boundary conditionsat a and at b

**respectively**. Then the resolvent R ( 2 ; T ) = ( 21 - T ) -1 is given by ...Page 1548

extensions of S and Ŝ

defined for the self adjoint operators T and Î as in Exercise D2 . Show that an ( T )

22 , ( ) , n 2 1 . Dii Let T , be a self adjoint operator in Hilbert space Hi , and let T ...

extensions of S and Ŝ

**respectively**, and let an ( T ) and 2n ( ft ) be the numbersdefined for the self adjoint operators T and Î as in Exercise D2 . Show that an ( T )

22 , ( ) , n 2 1 . Dii Let T , be a self adjoint operator in Hilbert space Hi , and let T ...

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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