期刊全称 | A Short Course on Operator Semigroups | 影响因子2023 | Klaus-Jochen Engel,Rainer Nagel | 视频video | | 发行地址 | Special feature -- treatment of spectral theory leading to a detailed qualitative theory for semigroups.Concise introduction providing modern tools for the study of linear evolution equations.Exercise | 学科分类 | Universitext | 图书封面 |  | 影响因子 | ThetheoryofstronglycontinuoussemigroupsoflinearoperatorsonBanach spaces, operator semigroups for short, has become an indispensable tool in a great number of areas of modern mathematical analysis. In our Springer Graduate Text [EN00] we presented this beautiful theory, together with many applications, and tried to show the progress made since the pub- cation in 1957 of the now classical monograph [HP57] by E. Hille and R. Phillips. However, the wealth of results exhibited in our Graduate Text seems to have discouraged some of the potentially interested readers. With the present text we o?er a streamlined version that strictly sticks to the essentials. We have skipped certain parts, avoided the use of sophisticated arguments,and,occasionally,weakenedtheformulationofresultsandm- i?ed the proofs. However, to a large extent this book consists of excerpts taken from our Graduate Text, with some new material on positive se- groups added in Chapter VI. We hope that the present text will help students take their ?rst step into this interesting and lively research ?eld. On the other side, it should provide useful tools for the working mathematician. Acknowledgments This book is dedicated to | Pindex | Textbook 2006 |
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