## Linear Operators: General theory |

### From inside the book

Results 1-3 of 73

Page 747

Operations in

Ergodic theorems for abelian semi-groups. Trans. Amer. Math. Soc. 51, 399-412 (

1942). 11. Strict convexity and smoothness of normed spaces. Trans. Amer. Math.

Operations in

**Banach spaces**. Trans. Amer. Math. Soc. 51, 583-608 (1942). 10.Ergodic theorems for abelian semi-groups. Trans. Amer. Math. Soc. 51, 399-412 (

1942). 11. Strict convexity and smoothness of normed spaces. Trans. Amer. Math.

Page 810

Weak compactness in

A. (see KostyuCenko, A.) Slobodyanskiî, M. G. 1. On estimates for the

eigenvalues of a self-adjoint operator. Akad. Nauk SSSR. Prikl. Mat. M eh. 19,

295-814 ...

Weak compactness in

**Banach spaces**. Studia Alath. 11, 71-94 (1950). Skorohod,A. (see KostyuCenko, A.) Slobodyanskiî, M. G. 1. On estimates for the

eigenvalues of a self-adjoint operator. Akad. Nauk SSSR. Prikl. Mat. M eh. 19,

295-814 ...

Page 815

5, 141-150 (1934). Taldykin, A. T. 1. On linear equations in Hilbert space. Mat. ...

On the compactness of the space L„. Bull. Amer. Math. Soe. ... On certain

5, 141-150 (1934). Taldykin, A. T. 1. On linear equations in Hilbert space. Mat. ...

On the compactness of the space L„. Bull. Amer. Math. Soe. ... On certain

**Banach****spaces**whose elements are analytic functions. Actas Acad'. Ci. Lima 12, 31-43 ...### What people are saying - Write a review

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### Contents

Preliminary Concepts | 1 |

B Topological Preliminaries | 10 |

Algebraic Preliminaries 84 | 34 |

Copyright | |

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### Other editions - View all

Linear Operators, Part 1 Nelson Dunford,Jacob T. Schwartz,William G. Bade,Robert G. Bartle Snippet view - 1958 |

### Common terms and phrases

a-finite Acad additive set function algebra Amer analytic arbitrary B-space ba(S Banach spaces Borel sets ca(S Cauchy sequence closed unit sphere compact Hausdorff space compact operator complex numbers contains continuous functions continuous linear functional convex set Corollary countably additive Definition denote dense Doklady Akad element equivalent everywhere exists finite dimensional follows from Theorem function defined function f Hausdorff space Hence Hilbert space homeomorphism implies inequality integral interval isometric isomorphism Lebesgue measure linear map linear operator linear topological space LP(S measurable functions measure space metric space Nauk SSSR N. S. neighborhood non-negative non-zero normed linear space open set operator topology positive measure space Proc properties proved real numbers reflexive Riesz Russian scalar semi-group sequentially compact Show simple functions subset subspace Suppose theory TM(S topological space valued function vector space weak topology weakly compact weakly sequentially compact zero