## 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 1914

In sharp contrast with some of the most innocent looking boundary value

In sharp contrast with some of the most innocent looking boundary value

**problems**associated with perturbed operators ... Even the much more general**problem**of Theorem XV.12.21 has the kernel which defines its solution given by a fairly ...Page 1927

formulation of the spectral reduction

formulation of the spectral reduction

**problem**may be seen by considering the case T = I . Since I commutes with every projection , the above reduction**problem**stated for I would be : find all projections in X. This**problem**, while ...Page 2059

The basic

The basic

**problem**of Babylonian lunar theory was their calendar , which defined the beginning of each “ month ” as the instant when the new crescent moon was first visible after sunset ; the specific**problem**was the determination of ...### What people are saying - Write a review

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### Contents

SPECTRAL OPERATORS | 1924 |

Introduction | 1927 |

Terminology and Preliminary Notions | 1929 |

Copyright | |

47 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 defined Definition denote dense determined differential operator discrete domain elements equation equivalent established exists extension fact finite follows formal formula function 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