## Linear Operators: Spectral operators |

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Page 2325

This , however , follows from Lemma 3.5 and from

This , however , follows from Lemma 3.5 and from

**formulas**( 16 ) and ( 14 ) . It also follows , from Lemma 3.5 ,**formula**( 16 ) , and**formula**( 14 ) ...Page 2330

n Since Guis analytic by

n Since Guis analytic by

**formula**( 21 ) , we have only to take the residues at Śm and Em of the contour integral ( 27 ) Sinun - 1 R ( pem ; 7 ) – nun - 1G .Page 2341

We wish to show , using

We wish to show , using

**formula**( 58 ) , that the family of all sums Em > me ) J ranging over all finite sets of integers , is uniformly bounded .### 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 | 1929 |

Copyright | |

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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 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