Topological and Metric Spaces, Banach Spaces... - ...and Bounded Operators - Functional Analysis Examples c-2

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Introduction

1 Topological and metric spaces
1.1 Weierstra ’s approximation theorem
1.2 Topological and metric spaces
1.3 Contractions
1.4 Simple integral equations

2 Banach spaces
2.1 Simple vector spaces
2.2 Normed spaces
2.3 Banach spaces
2.4 The Lebesgue integral

3 Bounded operators

Index

This is the second volume containing examples from Functional analysis. The topics here are limited to Topological and metric spaces, Banach spaces and Bounded operators.

Unfortunately errors cannot be avoided in a first edition of a work of this type. However, the author has tried to put them on a minimum, hoping that the reader will meet with sympathy the errors which do occur in the text.

Leif Mejlbro
24th November 2009