## Linear Operators: Part III: Spectral Operators [by] Nelson Dunford and Jacob T. Schwartz, with the Assistance of William G. Bade and Robert G. Bartle, Volume 1 |

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Page 2053

From the abstract theory of semi - groups this phenomenon may be explained by the

From the abstract theory of semi - groups this phenomenon may be explained by the

**fact**that , in these examples , we have T ( t ) HP SD ( As ) if t > O ...Page 2056

Chrysippus introduced the notion of " condestinate "

Chrysippus introduced the notion of " condestinate "

**facts**which allows the ... the grounds that it contradicts the**fact**that man is an incontinent being .Page 2225

For example , the

For example , the

**fact**that if B is a bounded Boolean algebra of projections in a reflexive space then the**fact**that the strong closure of B is complete ...### What people are saying - Write a review

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### Contents

SPECTRAL OPERATORS | 1924 |

Introduction | 1927 |

Terminology and Preliminary Notions | 1929 |

Copyright | |

28 other sections not shown

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### Common terms and phrases

adjoint operator Amer analytic apply arbitrary assumed B-space Banach space belongs Boolean algebra Borel set boundary conditions bounded bounded operator Chapter clear closed commuting compact complex constant contains continuous converges Corollary corresponding countably additive defined Definition denote dense determined differential operator domain elements equation equivalent established exists extension fact finite follows formal formula given gives Hence Hilbert space hypothesis identity inequality integral invariant inverse Lemma limit linear operator Math Moreover multiplicity norm perturbation plane positive preceding present problem projections PROOF properties prove range resolution resolvent restriction Russian satisfies scalar type seen sequence shown shows similar solution spectral measure spectral operator spectrum subset sufficiently Suppose Theorem theory topology unbounded uniformly unique valued vector zero