## Linear Operators: Spectral operators |

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Page 2056

Chrysippus introduced the notion of " condestinate "

to recover only if he calls a physician . ... and many philosophers between these

two , rejected Plato's reasoning on the grounds that it contradicts the

...

Chrysippus introduced the notion of " condestinate "

**facts**which allows the manto recover only if he calls a physician . ... and many philosophers between these

two , rejected Plato's reasoning on the grounds that it contradicts the

**fact**that man...

Page 2080

Show that o ( L ) = { 111915 1 } , in

a1111 = 1 } . Calculate the maximal extension of R ( d ; L ) xm , where Xm = ( dmn

) . 39 Let X be the B - space of all bounded complex sequences x = { $ rl 00 < n ...

Show that o ( L ) = { 111915 1 } , in

**fact**, op ( L ) = { al111 < 1 } and o ( L ) = {a1111 = 1 } . Calculate the maximal extension of R ( d ; L ) xm , where Xm = ( dmn

) . 39 Let X be the B - space of all bounded complex sequences x = { $ rl 00 < n ...

Page 2262

T ) = 0 , so that I ( h ) = T. Using the above

T ) and has a double zero at = 0 and we let fia ) = ( - vö ) f ( a ) , then ( T - vo ' I ) f (

T ) = fı ( T ) = T ( $ 1 ) = ( T - vö ? I ) T ( S ) . Thus E. ( f ( T ) – T ( S ) ) = 0 .

T ) = 0 , so that I ( h ) = T. Using the above

**facts**, it follows that if f is analytic on o (T ) and has a double zero at = 0 and we let fia ) = ( - vö ) f ( a ) , then ( T - vo ' I ) f (

T ) = fı ( T ) = T ( $ 1 ) = ( T - vö ? I ) T ( S ) . Thus E. ( f ( T ) – T ( S ) ) = 0 .

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### Contents

SPECTRAL OPERATORS 1937 1941 1945 XV Spectral Operators | 1924 |

Introduction | 1927 |

Terminology and Preliminary Notions | 1929 |

Copyright | |

32 other sections not shown

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