## Linear Operators: Spectral Theory : Self Adjoint Operators in Hilbert Space, Volume 2 |

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Page 1933

The

T ' ) x associated with the

number of important properties not enjoyed by functions of the form RTÉ ; T ) x

when T ...

The

**Resolvent**of a Spectral Operator The vector valued analytic functions R ( E ;T ' ) x associated with the

**resolvent**of a bounded spectral operator have anumber of important properties not enjoyed by functions of the form RTÉ ; T ) x

when T ...

Page 2291

Since the notion of an operator with compact

this section , it will be convenient to introduce , in the following definition , a

special term for such operators . + 1 DEFINITION . An operator T is discrete if

there is a ...

Since the notion of an operator with compact

**resolvent**occurs so frequently inthis section , it will be convenient to introduce , in the following definition , a

special term for such operators . + 1 DEFINITION . An operator T is discrete if

there is a ...

Page 2316

... Adjoint Operators in Hilbert Space Nelson Dunford, Jacob Theodore Schwartz.

Thus , if E ( ) n ) is to be anything but a projection onto a one - dimensional range

, it follows from Lemma 2 . 2 that in must be a multiple pole of the

... Adjoint Operators in Hilbert Space Nelson Dunford, Jacob Theodore Schwartz.

Thus , if E ( ) n ) is to be anything but a projection onto a one - dimensional range

, it follows from Lemma 2 . 2 that in must be a multiple pole of the

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