## Linear Operators: General theory |

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Page 768

Lebesgue integral in the abstract space. Jap. J. Math. 13, 501-513 (1936). 4.

Notes on

Tokyo 18, 127-130 (1942). Izumi, S., and Sunouchi, G. 1. Notes on

(VI): ...

Lebesgue integral in the abstract space. Jap. J. Math. 13, 501-513 (1936). 4.

Notes on

**Banach space**, I. Differentiation of abstract functions. Proc. Imp. Acad.Tokyo 18, 127-130 (1942). Izumi, S., and Sunouchi, G. 1. Notes on

**Banach space**(VI): ...

Page 804

Perturbations of linear operators in

fields of scalars in Hilbert space. Acta Math ... On the Fredholm theory of integral

equations for operators belonging to the trace class of a general

Perturbations of linear operators in

**Banach spaces**. ... Critical points and gradientfields of scalars in Hilbert space. Acta Math ... On the Fredholm theory of integral

equations for operators belonging to the trace class of a general

**Banach space**.Page 815

On linear equations in Hilbert space. Mat. Sbornik N. S. 29 (71), 529-550 ... Ontlte

compactness of the space Bull. Amer. Math. Soc. 38, 79-84 ... On certain

On linear equations in Hilbert space. Mat. Sbornik N. S. 29 (71), 529-550 ... Ontlte

compactness of the space Bull. Amer. Math. Soc. 38, 79-84 ... 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 | 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 compact operator complex numbers complex valued contains continuous functions continuous linear convex set Corollary countably additive Definition denote dense differential equations disjoint sets Doklady Akad Duke Math element equivalent everywhere exists extended real valued extension finite dimensional finite number function f Hausdorff space Hence Hilbert space homeomorphism inequality interval Lebesgue measure lim sup linear functional linear map linear operator linear topological space LP(S measurable functions 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 Riesz Russian semi-group sequentially compact Show simple functions subset subspace Suppose theory topological space Trans uniformly unique v(fi valued function Vber vector valued weakly compact