书目名称 | Topics in Operator Semigroups | 编辑 | Shmuel Kantorovitz | 视频video | | 概述 | Concerned with the interplay between the theory of operator semigroups and spectral theory.The basics on operator semigroups are concisely covered in this self-contained text.Part I deals with the Hil | 丛书名称 | Progress in Mathematics | 图书封面 |  | 描述 | This book is based on lecture notes from a second-year graduate course, and is a greatly expanded version of our previous monograph [K8]. We expose some aspects of the theory of semigroups of linear operators, mostly (but not only) from the point of view of its meeting with that part of spectral theory which is concerned with the integral representation of families of operators. This approach and selection of topics di?erentiate this book from others in the general area, and re?ect the author’s own research directions. There is no attempt therefore to cover thoroughly the theory of semigroups of operators. This theory and its applications are extensively exposed in many books, from theclassicHille–Phillipsmonograph[HP]tothemostrecenttextbookofEngel and Nagel [EN2] (see [A], [BB], [Cl], [D3], [EN1], [EN2], [Fat], [G], [HP], [P], [Vr], and others), as well as in chapters in more general texts on Functional Analysis and the theory of linear operators (cf. [D5], [DS I–III], [Kat1], [RS], [Y], and many others). | 出版日期 | Book 2010 | 关键词 | Nussbaum’s theorem; Stone’s representation; Trotter product formula; Trotter--Kato approximation theore | 版次 | 1 | doi | https://doi.org/10.1007/978-0-8176-4932-6 | isbn_ebook | 978-0-8176-4932-6Series ISSN 0743-1643 Series E-ISSN 2296-505X | issn_series | 0743-1643 | copyright | Birkhäuser Boston 2010 |
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