Topological algebras with involution [electronic resource] / Maria Fragoulopoulou.
- 作者： Fragoulopoulou, Maria.
- 其他作者：
- 其他題名：
- North-Holland mathematics studies ;
- 出版： Amsterdam ;Boston : Elsevier 2005.
- 叢書名： North-Holland mathematics studies ;200
- 主題： Topological algebras. , Electronic books
- 版本：1st ed.
- ISBN： 0444520252 、 9780444520258
- URL：
An electronic book accessible through the World Wide Web; click for information
- 一般註：Electronic reproduction. Amsterdam : Elsevier Science & Technology, 2007.
- 書目註：Includes bibliographical references (p. 451-485) and index.
-
讀者標籤：
- 系統號： 005164268 | 機讀編目格式
館藏資訊
摘要註
This book familiarizes both popular and fundamental notions and techniques from the theory of non-normed topological algebras with involution, demonstrating with examples and basic results the necessity of this perspective. The main body of the book is focussed on the Hilbert-space (bounded) representation theory of topological *-algebras and their topological tensor products, since in our physical world, apart from the majority of the existing unbounded operators, we often meet operators that are forced to be bounded, like in the case of symmetric *-algebras. So, one gets an account of how things behave, when the mathematical structures are far from being algebras endowed with a complete or non-complete algebra norm. In problems related with mathematical physics, such instances are, indeed, quite common.
Key features:
- Lucid presentation - Smooth in reading - Informative - Illustrated by examples - Familiarizes the reader with the non-normed *-world - Encourages the hesitant - Welcomes new comers. - Well written and lucid presentation. - Informative and illustrated by examples. - Familiarizes the reader with the non-normed *-world.
內容註
Introduction. Part I: General Theory. I.Background material. II.Locally C* -algebras. III.Representation theory. IV.Structure space of an m* -convex algebra. V.Hermitian and symmetric topological *-algebras. Part II: Applications. VI.Integral representations. Uniqueness of topology. VII.Tensor products of topological *-algebras. Bibliography.