## Linear Operators: Spectral operators |

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Page 2130

Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert G. Bartle. K = { x €

V0 3 x } is called the

satisfies ( i ) K + K SK , ( ii ) AK S K for all de R , 120 , and ( iii ) Kn ( - K ) = { 0 } .

Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert G. Bartle. K = { x €

V0 3 x } is called the

**positive**cone of V ( with respect to S ) ; it is easy to see that Ksatisfies ( i ) K + K SK , ( ii ) AK S K for all de R , 120 , and ( iii ) Kn ( - K ) = { 0 } .

Page 2564

2 . A remark on the Volterra operator . J . Math . Anal . Appl . 12 , 244 – 246 (

1965 ) . 3 . Invariant subspaces and unstarred operator algebras . Pacific J . Math

. 17 , 511 - 517 ( 1966 ) . Sasser , D . W . 1 . Quasi -

2 . A remark on the Volterra operator . J . Math . Anal . Appl . 12 , 244 – 246 (

1965 ) . 3 . Invariant subspaces and unstarred operator algebras . Pacific J . Math

. 17 , 511 - 517 ( 1966 ) . Sasser , D . W . 1 . Quasi -

**positive**operators .Page 2565

Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert G. Bartle. 13 . Eine

Eine Bemerkung zur Existenz invarianter Teilräume linearer Abbildungen . Math .

Zeit . 82 , 90 ( 1963 ) . On the point spectrum of

Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert G. Bartle. 13 . Eine

Eine Bemerkung zur Existenz invarianter Teilräume linearer Abbildungen . Math .

Zeit . 82 , 90 ( 1963 ) . On the point spectrum of

**positive**operators . Proc . Amer .### 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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### 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 given gives Hence Hilbert space hypothesis identity inequality integral invariant inverse Lemma limit linear 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