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Free topological vector spaces

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Flood J.

Instytut Matematyczny Polskiej Akademii Nauk

CONTENTS Preface.................................................................................................5 Chapter 0. Preliminaries and notation..................................................6 PART I. Free topological vector spaces - Introduction..........................9 Chapter 1. Universal arrows...............................................................10 Chapter 2. Free locally convex topological vector spaces..................12 Chapter 3. Free normed spaces........................................................23 Chapter 4. Uniform pairs....................................................................32 PART II. Properties of the free functors - Introduction........................40 Chapter 5. Monads, comonads and extension...................................40 Chapter 6. Invariance and tensors.....................................................54 PART III. Free complete topological vector spaces - Introduction.......63 Chapter 7. Measure spaces and completion......................................64 Chapter 8. Properties of the completion.............................................77 Chapter 9. Variations on a theme.......................................................86 Appendix............................................................................................90 References........................................................................................91 List of notation...................................................................................94

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1 Flood J.

1 1984

Wyniki wyszukiwania

Free topological vector spaces