## Linear Operators: Spectral theory |

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Page 970

If Xe denotes the characteristic function of the set e in E , and if f is in L2 ( R ) , then Xef is in Ly ( R ) , L ( R ) and f is the

If Xe denotes the characteristic function of the set e in E , and if f is in L2 ( R ) , then Xef is in Ly ( R ) , L ( R ) and f is the

**limit**in the norm of L2 ( R ) of the generalized sequence { % cf } . Hence , by Theorem 9 , of is the ...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 f 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 \ U , I is the

Passing without loss of generality from consideration of f 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 \ U , I is the

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

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### Contents

BAlgebras | 859 |

Miscellaneous Applications | 937 |

Compact Groups | 945 |

Copyright | |

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