## Linear Operators: Spectral operators |

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Results 1-3 of 84

Page 1951

Let 0 € 7 and let To = TE ( 0 ) | E ( 0 ) X , the restriction of T to the invariant

subspace E ( 0 ) X . Since o ( T . ) So , it follows that 0 € p ( T . ) and hence To ?

exists as a bounded

Let 0 € 7 and let To = TE ( 0 ) | E ( 0 ) X , the restriction of T to the invariant

subspace E ( 0 ) X . Since o ( T . ) So , it follows that 0 € p ( T . ) and hence To ?

exists as a bounded

**linear**operator in the space E ( X ) . Let Vo be the bounded**linear**...Page 2400

The basic idea of Friedrichs ' method may be expressed heuristically as follows .

Let X be a B - space , and let T be a

operator in X which is , in a sense to be made precise below , very small relative

...

The basic idea of Friedrichs ' method may be expressed heuristically as follows .

Let X be a B - space , and let T be a

**linear**operator in X ; let K be a second**linear**operator in X which is , in a sense to be made precise below , very small relative

...

Page 2533

Closed

Math . 12 , 183 – 186 ( 1962 ) . 2 . Unbounded

applications . McGraw - Hill , New York , 1966 . Goldberg , S . , and Schubert , C .

1 .

Closed

**linear**operators and associated continuous**linear**operators . Pacific J .Math . 12 , 183 – 186 ( 1962 ) . 2 . Unbounded

**linear**operators : Theory andapplications . McGraw - Hill , New York , 1966 . Goldberg , S . , and Schubert , C .

1 .

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### Contents

SPECTRAL OPERATORS 1937 1941 1945 XV Spectral Operators | 1924 |

Introduction | 1927 |

Terminology and Preliminary Notions | 1929 |

Copyright | |

29 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 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