## Linear Operators, Part 2 |

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Page 1297

Q.E.D. We now turn to a discussion of the specific form assumed in the present

case by the abstract “

see that the discussion leads us to a number of results about deficiency indices .

Q.E.D. We now turn to a discussion of the specific form assumed in the present

case by the abstract “

**boundary values**” introduced in the last chapter . We shallsee that the discussion leads us to a number of results about deficiency indices .

Page 1298

If I is formally self adjoint , then Definition 17 of a

with Definition XII.4.20 of a

next theorem gives a basic property of

If I is formally self adjoint , then Definition 17 of a

**boundary value**for t coincideswith Definition XII.4.20 of a

**boundary value**for T. ( T ) . PROOF . ... Q.E.D. Thenext theorem gives a basic property of

**boundary values**of differential operators .Page 1307

D2 , D , are

real , D ( T1 ( ) ) is closed under the formation of complex conjugates , so the ...

**boundary values**C1 , C2 , D2 , D , where C7 , C , are**boundary values**at a andD2 , D , are

**boundary values**at b ... Let A be any**boundary value**for T. Since 1 isreal , D ( T1 ( ) ) is closed under the formation of complex conjugates , so the ...

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

11 other sections not shown

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