## Linear Operators, Part 2 |

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Page 1420

If A is considered as a subset of H , then the restriction of T ( t ' ) to A is a

continuous mapping of A into H . Then , assuming that ttt ' has a non -

leading coefficient , ( A ) the Hilbert spaces D ( Ti ( t + t ' ) ) and D ( T1 ( T ) ) have

the same ...

If A is considered as a subset of H , then the restriction of T ( t ' ) to A is a

continuous mapping of A into H . Then , assuming that ttt ' has a non -

**zero**leading coefficient , ( A ) the Hilbert spaces D ( Ti ( t + t ' ) ) and D ( T1 ( T ) ) have

the same ...

Page 1432

Suppose first that the end point under consideration is finite so that without loss of

generality we can suppose it to be at

by the leading coefficient a , of t , we can write the equation ( 1 - 2 ) } = 0 in the ...

Suppose first that the end point under consideration is finite so that without loss of

generality we can suppose it to be at

**zero**. Then , dividing through if necessaryby the leading coefficient a , of t , we can write the equation ( 1 - 2 ) } = 0 in the ...

Page 1727

By ( 1 ) and by the definitions ( 2 ) , ( 3 ) , and ( 5 ) of Su , it follows that ( 7 ) ( S29 )

( x ) = 0 , 9€ C ( En ) , - k Smin ( L ) S max ( L ) Sk , if one of x7 , . . . , xn is

Suppose that we let 1 , denote the cube 1 . = { x € E " | | X : 51 , i = 1 , . . . , n } .

By ( 1 ) and by the definitions ( 2 ) , ( 3 ) , and ( 5 ) of Su , it follows that ( 7 ) ( S29 )

( x ) = 0 , 9€ C ( En ) , - k Smin ( L ) S max ( L ) Sk , if one of x7 , . . . , xn is

**zero**.Suppose that we let 1 , denote the cube 1 . = { x € E " | | X : 51 , i = 1 , . . . , n } .

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

Copyright | |

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