## Linear Operators: Spectral operators |

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Page 2013

For a sequence { om } satisfying ( 3 ) , A is

consists precisely of those o for which the limit in ( 9 ) exists . Our next concern

will be with the question of the existence of a resolution of the identity for A . This

leads ...

For a sequence { om } satisfying ( 3 ) , A is

**given**by ( 9 ) and the domain of Aconsists precisely of those o for which the limit in ( 9 ) exists . Our next concern

will be with the question of the existence of a resolution of the identity for A . This

leads ...

Page 2096

Another characterization of subscalar operators is

which asserts that ... some B - space X 2 X which has a continuous projection

onto X . A second proof of this latter result is

1 ] .

Another characterization of subscalar operators is

**given**, based on a theoremwhich asserts that ... some B - space X 2 X which has a continuous projection

onto X . A second proof of this latter result is

**given**in Ionescu Tulcea and Plafker [1 ] .

Page 2376

Applications of this same method to other operators are

Section 5 . In Section 3 we generalize the Friedrichs technique to operators with

discrete spectra , along lines first developed by Turner . Here one begins with an

...

Applications of this same method to other operators are

**given**as exercises inSection 5 . In Section 3 we generalize the Friedrichs technique to operators with

discrete spectra , along lines first developed by Turner . Here one begins with an

...

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