## Linear Operators: General theory |

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Page 741

2 . The Dirichlet and vibration problems for linear elliptic differential equations of

arbitrary order .

Assumption of boundary values and the Green's function in the Dirichlet problem

for the ...

2 . The Dirichlet and vibration problems for linear elliptic differential equations of

arbitrary order .

**Proc**. Nat . Acad . Sci . U.S.A. 38 , 741–747 ( 1952 ) . 3.Assumption of boundary values and the Green's function in the Dirichlet problem

for the ...

Page 770

On some connections between probability theory and differential and integral

equations .

215 ( 1951 ) . Kaczmarz , S. , and Steinhaus , H. 1. Theorie der Orthogonalreihen

.

On some connections between probability theory and differential and integral

equations .

**Proc**. Second Berkeley Symposium Math . Statistics and Prob . , 189–215 ( 1951 ) . Kaczmarz , S. , and Steinhaus , H. 1. Theorie der Orthogonalreihen

.

Page 821

Sturm - Liouville theory . Duke Math . J. 22 , 1-14 ( 1955 ) . Weinstein , A. 1.

Quantitative methods in Sturm - Liouville theory .

Theory ...

**Proc**. Amer . Math . Soc . 3 , 643–646 ( 1952 ) . 3 . An extension of the classicalSturm - Liouville theory . Duke Math . J. 22 , 1-14 ( 1955 ) . Weinstein , A. 1.

Quantitative methods in Sturm - Liouville theory .

**Proc**. Symposium on SpectralTheory ...

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### Contents

Preliminary Concepts | 1 |

B Topological Preliminaries | 10 |

quences | 26 |

Copyright | |

80 other sections not shown

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### Common terms and phrases

Akad algebra Amer analytic applied arbitrary assume B-space Banach Banach spaces bounded called clear closed compact complex Consequently contains converges convex Corollary countably additive defined DEFINITION denote dense determined differential disjoint domain element 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 o-field open set operator positive problem Proc PROOF properties proved range regular respect Russian satisfies scalar seen 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