## Linear Operators, Part 1 |

### From inside the book

Results 1-3 of 90

Page 274

Let S be a compact Hausdorff space and C(S) be the algebra of all complea

the unit e and contains, with f, its compler conjugate f defined by f(s) = f(s). Then

Q ...

Let S be a compact Hausdorff space and C(S) be the algebra of all complea

**continuous functions**on S. Let Q be a closed subalgebra of C(S) which containsthe unit e and contains, with f, its compler conjugate f defined by f(s) = f(s). Then

Q ...

Page 381

10], Hewitt [8] and Edwards [1] consider functionals on the space of

sets. Arens [3] discussed certain sub-algebras of

10], Hewitt [8] and Edwards [1] consider functionals on the space of

**continuous****functions**on a locally compact Hausdorff space which vanish outside of compactsets. Arens [3] discussed certain sub-algebras of

**continuous functions**on a ...Page 841

criteria for the limit to be continuous, I.7.7 (29), IV.6.11 (268) definition, I.4.15 (13)

density in TM and Le, III.9.14 (170), IV.8.19 (298) existence of non-differentiable

...

criteria for the limit to be continuous, I.7.7 (29), IV.6.11 (268) definition, I.4.15 (13)

density in TM and Le, III.9.14 (170), IV.8.19 (298) existence of non-differentiable

**continuous functions**, I.9.6 (33) existence on a normal space, I.5.2 (15) extension...

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

A Settheoretic Preliminaries | 1 |

Convergence and Uniform Convergence of Generalized | 26 |

Algebraic Preliminaries | 34 |

Copyright | |

27 other sections not shown

### Other editions - View all

### 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