## Linear Operators, Part 1 |

### From inside the book

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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 disserentialoperator. Proc. Nat. Acad. Sci. 39, 433–439 (1953). 7. The

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

operator ...

Page 788

The work of Silov on commutative semi-simple Banach algebras. Technical

Report, Contract 218(00), Office of Naval Research. Mishoe, L. I. (see also

Friedman, B.) 1. On the earpansion of an arbitrary function in terms of the

The work of Silov on commutative semi-simple Banach algebras. Technical

Report, Contract 218(00), Office of Naval Research. Mishoe, L. I. (see also

Friedman, B.) 1. On the earpansion of an arbitrary function in terms of the

**eigenfunctions**of ...Page 808

An expansion in

. Some properties of a differential equation. J. London Math. Soc. 27, 180–188 (

1952). 6. Integral transforms and

An expansion in

**eigenfunctions**. Proc. London Math. Soc. (2) 53, 396–421 (1951). Some properties of a differential equation. J. London Math. Soc. 27, 180–188 (

1952). 6. Integral transforms and

**eigenfunction**theory. Quart. J. Math. Oxford (2) ...### What people are saying - Write a review

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### Contents

A Settheoretic Preliminaries | 1 |

Convergence and Uniform Convergence of Generalized | 26 |

Algebraic Preliminaries | 34 |

Copyright | |

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### Common terms and phrases

additive set function algebra Amer analytic arbitrary B-space Banach baſs Borel sets ca(S Cauchy sequence compact Hausdorff space compact operator complete complex numbers conditionally compact contains continuous functions convex set Corollary countably additive DEFINITION denote dense differential Doklady Akad element equation equivalent exists finite dimensional function defined function f g-field g-finite Hausdorff space Hence Hilbert space homeomorphism implies inequality integral interval isometric isomorphism Lebesgue measure Lemma Let f lim ſº linear map linear operator linear topological space Lp(S Math measurable functions measure space metric space Nauk SSSR N.S. neighborhood non-negative normed linear space open set operator topology positive measure space Proc properties proved real numbers Riesz scalar semi-group sequentially compact Show subset subspace Suppose theory TM(S topological space u-integrable u-measurable uniformly valued function weak topology weakly compact weakly sequentially compact zero