## Linear Operators: General theory |

### From inside the book

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Page 738

Boundary value and expansion problems of ordinary linear

. Trans . Amer . Math . Soc . 9 , 373 - 395 ( 1908 ) . Existence and oscillation

theorems for a certain boundary value problem . Trans . Amer . Math . Soc . 10 ,

259 ...

Boundary value and expansion problems of ordinary linear

**differential**equations. Trans . Amer . Math . Soc . 9 , 373 - 395 ( 1908 ) . Existence and oscillation

theorems for a certain boundary value problem . Trans . Amer . Math . Soc . 10 ,

259 ...

Page 762

J . Math . 75 , 229 - 240 ( 1953 ) . 3 . The Ly - solutions of linear

equations of second order . Duke Math . J . 14 , 323 – 326 ( 1947 ) . 4 .

Unrestricted solution fields of almost separable

Amer . Math . Soc .

J . Math . 75 , 229 - 240 ( 1953 ) . 3 . The Ly - solutions of linear

**differential**equations of second order . Duke Math . J . 14 , 323 – 326 ( 1947 ) . 4 .

Unrestricted solution fields of almost separable

**differential**equations . Trans .Amer . Math . Soc .

Page 763

On the essential spectra of ordinary

831 - 838 ( 1954 ) . Hartman , P . , and Putnam , C . 1 . The least cluster point of

the spectrum of boundary value problems . Amer . J . Math . 70 , 847 – 855 ( 1948

) ...

On the essential spectra of ordinary

**differential**equations . Amer . J . Math . 76 ,831 - 838 ( 1954 ) . Hartman , P . , and Putnam , C . 1 . The least cluster point of

the spectrum of boundary value problems . Amer . J . Math . 70 , 847 – 855 ( 1948

) ...

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### Contents

Special Spaces | 237 |

Convex Sets and Weak Topologies | 409 |

General Spectral Theory | 555 |

Copyright | |

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Acad algebra Amer analytic applied arbitrary assumed B-space Banach Banach spaces bounded called clear closed compact complex Consequently contains continuous functions converges convex Corollary countably additive defined DEFINITION denote dense determined differential disjoint Doklady Akad domain elements equation equivalent everywhere Exercise exists extension field finite follows function defined function f given Hence Hilbert space implies inequality integral interval isomorphism Lebesgue Lemma limit linear functional linear operator linear space mapping Math mean measure space metric space neighborhood norm operator positive problem Proc PROOF properties proved range regular respect Russian satisfies scalar seen semi-group separable sequence set function Show shown sphere statement subset Suppose Theorem theory topological space topology transformations u-integrable u-measurable uniformly union unique unit valued vector weak zero