## Linear Operators: Spectral operators |

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Page 1914

**Chapter**XV is an elementary introduction to the field which presents most of the distinguishing properties of spectral operators , a number of examples to ...Page 2010

... will be treated in some detail in

... will be treated in some detail in

**Chapter**XVIII and many illustrations of such operators will be found in**Chapters**XIX and XX , we introduce the subject ...Page 2175

... resolvents satisfy a growth condition are specific examples of generalized scalar operators in the sense of Colojoară and Foiaş [ 4 ;

... resolvents satisfy a growth condition are specific examples of generalized scalar operators in the sense of Colojoară and Foiaş [ 4 ;

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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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### 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 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