## Linear Operators: Spectral theory |

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Page 888

Here we have used the notations AB and A v B for the intersection and union of two commuting

Here we have used the notations AB and A v B for the intersection and union of two commuting

**projections**A and B. We ... Also the ranges of the intersection and union of two commuting**projection**operators are given by the equations ...Page 1123

We say that E is a subdiagonalizing

We say that E is a subdiagonalizing

**projection**for T if T leaves the range of E invariant , i.e. , if ETE = TE . e in ... Any operator T in Hilbert space admits a maximal totally ordered set F of orthogonal subdiagonalizing**projections**...Page 1126

Since each

Since each

**projection**in the spectral resolution of T and hence each continuous function of T is a strong limit of linear combinations of the**projections**E ;, it follows from ( 1 ) that the closure in ( rm ) of the vectors ( 4 ) is .### 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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