Basic theory of one-parameter semigroups

✍ Scribed by Derek W Robinson

Publisher: Centre for Mathematical Analysis, Australian National University
Year: 1982
Tongue: English
Leaves: 148
Series: Proceedings of the Centre for Mathematical Analysis, Australian National University 2
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

These notes represent a course of lectures delivered at the Australian National University in the second semester of 1982 as part of the mathematics honours programme. Most of the material contained in the notes is standard although a few new refinements and variations are included. The course consisted of twenty six one-hour lectures and this sufficed to present about ninety five per cent of the content of the notes.

✦ Table of Contents

CONTENTS......Page 6
PREFACE......Page 7
1.1. Introduction......Page 8
1.2. Semigroups and Generators.......Page 14
1.3. Generators and Semigroups.......Page 27
1.4. Norm-dissipative Operators.......Page 49
1.5. C0*-Semigroups.......Page 63
1.6. Analytic Vectors.......Page 74
1.7. Holomorphic Semigroups.......Page 85
1.8. Convergence of Semi groups......Page 95
1.9. Perturbation Theory......Page 118
1.10. Comparison of Semigroups.......Page 131
BIBLIOGRAPHY......Page 143

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