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Semi-bounded Differential Operators, Contractive Semigroups and Beyond (Operator Theory: Advances and Applications, 243) - Softcover
Synopsis
This trail-blazing treatment of a new and emerging topic sets out the authors’ own research into differing interpretations of the semi-boundedness of partial differential operators. It examines function spaces that include the Hilbert and Banach varieties.
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From the Back Cover
This book examines the conditions for the semi-boundedness of partial differential operators, which are interpreted in different ways. For example, today we know a great deal about L2-semibounded differential and pseudodifferential operators, although their complete characterization in analytic terms still poses difficulties, even for fairly simple operators. In contrast, until recently almost nothing was known about analytic characterizations of semi-boundedness for differential operators in other Hilbert function spaces and in Banach function spaces. This book works to address that gap. As such, various types of semi-boundedness are considered and a number of relevant conditions which are either necessary and sufficient or best possible in a certain sense are presented. The majority of the results reported on are the authors’ own contributions.
Review
“This book is valuable; it contains a lot of new information and deep, complicated proofs. ... it is a very good book, and every serious research university library should get it. I expect it to inspire new research.” (Jerome A. Goldstein, Bulletin of the American Mathematical Society, Vol. 55 (1), January, 2018)
“The book is logically ordered and clearly written ... . It will be of interest to specialists and graduate students working on partial differential operators in function spaces.” (Hector O. Fattorini, zbMATH 1317.47002, 2015)
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- PublisherBirkhäuser
- Publication date2016
- ISBN 10 3319356704
- ISBN 13 9783319356709
- BindingPaperback
- LanguageEnglish
- Number of pages265
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Semi-bounded Differential Operators, Contractive Semigroups and Beyond
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Springer International Publishing Aug 2016, 2016
ISBN 10: 3319356704
ISBN 13: 9783319356709
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In the present bookthe conditions are studied for the semi-boundedness of partial differential operators which is interpreted in different ways. Nowadays one knows rather much about L2-semibounded differential and pseudo-differential operators, although their complete characterization in analytic terms causes difficulties even for rather simple operators. Until recently almost nothing was known about analytic characterizations of semi-boundedness for differential operators in other Hilbert function spaces and in Banach function spaces. The goal of the present book is to partially fill this gap. Various types of semi-boundedness are considered and some relevant conditions which are either necessary and sufficient or best possible in a certain sense are given. Most of the results reported in this book are due to the authors. 268 pp. Englisch. Seller Inventory # 9783319356709
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Semi-bounded Differential Operators, Contractive Semigroups and Beyond
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Semi-bounded Differential Operators, Contractive Semigroups and Beyond
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Springer International Publishing, 2016
ISBN 10: 3319356704
ISBN 13: 9783319356709
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Taschenbuch
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - In the present bookthe conditions are studied for the semi-boundedness of partial differential operators which is interpreted in different ways. Nowadays one knows rather much about L2-semibounded differential and pseudo-differential operators, although their complete characterization in analytic terms causes difficulties even for rather simple operators. Until recently almost nothing was known about analytic characterizations of semi-boundedness for differential operators in other Hilbert function spaces and in Banach function spaces. The goal of the present book is to partially fill this gap. Various types of semi-boundedness are considered and some relevant conditions which are either necessary and sufficient or best possible in a certain sense are given. Most of the results reported in this book are due to the authors. Seller Inventory # 9783319356709
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