## Linear Operators, Part 2 |

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Page 1297

The first

. Now Ti ( t ) is an adjoint ( Theorem 10 ) ; therefore ( cf. XII.1.6 ) D ( T1 ( ) ) is

complete in the

as ...

The first

**norm**is the**norm**of the pair [ 1 , T1 / ] as an element of the graph of T ( T ). Now Ti ( t ) is an adjoint ( Theorem 10 ) ; therefore ( cf. XII.1.6 ) D ( T1 ( ) ) is

complete in the

**norm**\ / lı . Since the two additional terms in 1/2 are the**norm**of fas ...

Page 1431

( e ) The closure of D ( T. ( ' ) ) in the

closure of D ( T. ( t ' ) ) in the

D ( To ( t ' ) ) in the

c ) we ...

( e ) The closure of D ( T. ( ' ) ) in the

**norm**of D ( T ( 7 ' ) ) coincides with theclosure of D ( T. ( t ' ) ) in the

**norm**of D ( Ti ( ) ) . Let D , and D , be the closures ofD ( To ( t ' ) ) in the

**norms**of D ( T1 ( 7 ' ) ) and D ( T1 ( T ) ) respectively . By step (c ) we ...

Page 1639

1 + ult ; J , m ) This

- space . If k < 0o and I is compact , but not otherwise , the spaces C * ( I ) and C (

I ) are B - spaces under a

1 + ult ; J , m ) This

**norm**makes each of the spaces listed above into a complete F- space . If k < 0o and I is compact , but not otherwise , the spaces C * ( I ) and C (

I ) are B - spaces under a

**norm**equivalent to the**norm**displayed , though not ...### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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