## Linear Operators: Spectral operators |

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Let B be a complete ( o - complete ) Boolean algebra of projections in the B - space X and let { Ex } be a monotone generalized

Let B be a complete ( o - complete ) Boolean algebra of projections in the B - space X and let { Ex } be a monotone generalized

**sequence**( a monotone**sequence**) in B. Then , if { Ex } is increasing , lim Eq2 = ( V Ea ) , X e X , while ...Page 2218

Let { Ex } be a weakly convergent generalized

Let { Ex } be a weakly convergent generalized

**sequence**in B and suppose that its limit E is a projection . It must be shown that { Ea } converges strongly to E. By Lemma 6 , E is in B and so a consideration of the**sequence**{ E ...Page 2450

By Theorem X.3.4 there exists a complete orthonormal basis { xn } consisting of eigenvectors of T. We let Txn = nXn , and suppose that none of the eigenvalues in is multiple ( that is , that the

By Theorem X.3.4 there exists a complete orthonormal basis { xn } consisting of eigenvectors of T. We let Txn = nXn , and suppose that none of the eigenvalues in is multiple ( that is , that the

**sequence**{ n } contains no repetitions ) ...### What people are saying - Write a review

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### Contents

SPECTRAL OPERATORS 1937 1941 1945 XV Spectral Operators | 1924 |

Introduction | 1927 |

Terminology and Preliminary Notions | 1931 |

Copyright | |

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