| 书目名称 | State Spaces of Operator Algebras | | 副标题 | Basic Theory, Orient | | 编辑 | Erik M. Alfsen,Frederic W. Shultz | | 视频video | | | 丛书名称 | Mathematics: Theory & Applications | | 图书封面 |  | | 描述 | The topic of this book is the theory of state spaces of operator algebras and their geometry. The states are of interest because they determine representations of the algebra, and its algebraic structure is in an intriguing and fascinating fashion encoded in the geometry of the state space. From the beginning the theory of operator algebras was motivated by applications to physics, but recently it has found unexpected new applica tions to various fields of pure mathematics, like foliations and knot theory, and (in the Jordan algebra case) also to Banach manifolds and infinite di mensional holomorphy. This makes it a relevant field of study for readers with diverse backgrounds and interests. Therefore this book is not intended solely for specialists in operator algebras, but also for graduate students and mathematicians in other fields who want to learn the subject. We assume that the reader starts out with only the basic knowledge taught in standard graduate courses in real and complex variables, measure theory and functional analysis. We have given complete proofs of basic results on operator algebras, so that no previous knowledge in this field is needed. For discussion of some | | 出版日期 | Textbook 2001 | | 关键词 | algebra; applications of mathematics; functional analysis; geometry; mathematical physics; operator algeb | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-0147-2 | | isbn_softcover | 978-1-4612-6634-1 | | isbn_ebook | 978-1-4612-0147-2 | | copyright | Springer Science+Business Media New York 2001 |
The information of publication is updating
|
|
发表于 2025-3-21 18:12:37
