## Linear Operators: General theory |

### From inside the book

Results 1-3 of 11

Page 741

On the

operator. Proc. Nat. Acad. Sci. 39, 433-439 (1953). 7. The

expansion theorem for the general self-adjoint singular elliptic partial differential

operator.

On the

**eigenfunctions**and eigenvalues of the general linear elliptic differentialoperator. Proc. Nat. Acad. Sci. 39, 433-439 (1953). 7. The

**eigenfunction**expansion theorem for the general self-adjoint singular elliptic partial differential

operator.

Page 781

Proof of the theorem on the expansion in

operators. Doklady Akad. Nauk SSSR (N. S.) 73, 651-654 (1950). (Russian) Math

. Rev. 12, 502 (1951). 5. On a theorem of H. Weyl. Doklady Akad. Nauk SSSR ...

Proof of the theorem on the expansion in

**eigenfunctions**of self-adjoint differentialoperators. Doklady Akad. Nauk SSSR (N. S.) 73, 651-654 (1950). (Russian) Math

. Rev. 12, 502 (1951). 5. On a theorem of H. Weyl. Doklady Akad. Nauk SSSR ...

Page 788

Studies in the

system. Tech. Report Nat. Sci. Foundation, 1955. 2. On the uniform convergence

of a certain

Studies in the

**eigenfunction**series associated with a non-self-adjoint differentialsystem. Tech. Report Nat. Sci. Foundation, 1955. 2. On the uniform convergence

of a certain

**eigenfunction**series. Pacific J. Math. 6, 271-278 (1956). Miyadera ...### What people are saying - Write a review

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### Contents

Preliminary Concepts | 1 |

B Topological Preliminaries | 10 |

Algebraic Preliminaries | 34 |

Copyright | |

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a-field Acad additive set function algebra Amer analytic arbitrary B-space ba(S Banach spaces Borel sets ca(S Cauchy sequence closed linear manifold compact operator complex numbers contains continuous functions continuous linear converges convex set Corollary countably additive Definition denote dense differential equations Doklady Akad element equivalent everywhere exists extended real valued extension fi(E finite dimensional finite number function f Hausdorff space Hence Hilbert space homeomorphism inequality integral interval Lebesgue measure Lemma linear functional linear map linear operator linear topological space LP(S measurable function measure space metric space Nauk SSSR N. S. neighborhood non-negative normed linear space null set open set operator topology positive measure space Proc Proof properties proved real numbers Russian scalar semi-group sequentially compact Show simple functions subset subspace Suppose theory topological space uniformly unique v(fi valued function Vber vector valued weakly compact zero