Operator Theory: Advances and Applications

Semi-bounded Differential Operators, Contractive Semigroups and Beyond

Authors: Cialdea, Alberto, Maz'ya, Vladimir

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  • Treatment of a subject that has hardly been worked in so far
  • No comparable book on the market, no significant intersections with existing monographic literature
  • Most results obtained by the authors themselves
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About this book

In the present book the 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.

Reviews

“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)


Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook $79.99
price for USA in USD
  • ISBN 978-3-319-04558-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for USA in USD
  • ISBN 978-3-319-04557-3
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $99.99
price for USA in USD
  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week). Pre-ordered printed titles are excluded from promotions.
  • Due: October 7, 2016
  • ISBN 978-3-319-35670-9
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
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Bibliographic Information

Bibliographic Information
Book Title
Semi-bounded Differential Operators, Contractive Semigroups and Beyond
Authors
Series Title
Operator Theory: Advances and Applications
Series Volume
243
Copyright
2014
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-04558-0
DOI
10.1007/978-3-319-04558-0
Hardcover ISBN
978-3-319-04557-3
Softcover ISBN
978-3-319-35670-9
Series ISSN
0255-0156
Edition Number
1
Number of Pages
XIII, 252
Topics