## Linear Operators: General theory |

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Page 262

Since the integral Ss ( s ) u ( ds )

s ) [ 0 ( 4 , S ) , it is clear that the ... an isometric isomorphism between C * ( S )

and rba ( S ) such that corresponding elements w * and u

) ...

Since the integral Ss ( s ) u ( ds )

**satisfies**the inequality 1st ( s ) u ( ds ) < sup \ | (s ) [ 0 ( 4 , S ) , it is clear that the ... an isometric isomorphism between C * ( S )

and rba ( S ) such that corresponding elements w * and u

**satisfy**the identity u ( ds) ...

Page 495

Since B , is an algebra and

- field contained in B. We now show that B. B by proving that B , contains all the

closed sets . Let F be an arbitrary closed set in S. Since S is assumed to be a ...

Since B , is an algebra and

**satisfies**condition ( ii ) , it is readily seen that B , is a o- field contained in B. We now show that B. B by proving that B , contains all the

closed sets . Let F be an arbitrary closed set in S. Since S is assumed to be a ...

Page 613

... continuous real ( or complex ) function f of the nonnegative real variable t

which

operator valued functions defined on the range t 20 , which

i ) T ( t + ...

... continuous real ( or complex ) function f of the nonnegative real variable t

which

**satisfies**the functional equations f ( 0 ) ... the most general continuousoperator valued functions defined on the range t 20 , which

**satisfy**the equations (i ) T ( t + ...

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### Contents

Preliminary Concepts | 1 |

B Topological Preliminaries | 10 |

Algebraic Preliminaries | 34 |

Copyright | |

80 other sections not shown

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