## Linear Operators: Spectral operators |

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and the fraction in the

and the fraction in the

**inequality**( i ) of Theorem 6 is Isi - sl ? + 2 | 818212 { ( si - 2 ) * + 1681 $ } 1/2 which is bounded on all of R " .Page 2190

Since both terms in this

Since both terms in this

**inequality**are continuous functions of f , it will suffice to prove it for every function f in a set dense in EB ( 1 , E ) .Page 2403

First we shall prove an

First we shall prove an

**inequality**for integral operators ( Lemma 5 below ) which is elementary in the sense that it relates only to the norms of the ...### 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 | |

32 other sections not shown

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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