## Linear Operators: Spectral theory |

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Page 970

Hence , by Theorem 9 , of is the

Hence , by Theorem 9 , of is the

**limit**in the norm of L2 ( M ) of the generalized sequence { t ( Zef ) } . ... We now show that the function f can be retrieved from tf by a similar**limiting**procedure . 16 THEOREM .Page 1124

If En , E are in F and 9 ( En ) increases to the

If En , E are in F and 9 ( En ) increases to the

**limit**q ( E ) , then it follows from what we have already proved that En is an increasing sequence of projections and E , SE . If EQ is the strong**limit**of En , then E. SE and q ( E ) = Q ...Page 1697

Passing without loss of generality from consideration of s to consideration of fit , it follows that we may ( and shall ) suppose that s vanishes outside a compact subset of UŻ We shall show that 0,1 is the

Passing without loss of generality from consideration of s to consideration of fit , it follows that we may ( and shall ) suppose that s vanishes outside a compact subset of UŻ We shall show that 0,1 is the

**limit**in the norm of HP ( U ...### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

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