Locally convex quasi *-algebras and their representations

• 作者： Fragoulopoulou, Maria, author.
• 其他作者：
  • Trapani, Camillo, author.
  • SpringerLink (Online service)
• 其他題名：
  • Lecture notes in mathematics ;
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： Lecture notes in mathematics,2257
• 主題： Quasivarieties (Universal algebra) , Locally convex spaces. , Functional Analysis. , Operator Theory. , Associative Rings and Algebras.
• ISBN： 9783030377052 (electronic bk.) 、 9783030377045 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
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• 摘要註: This book offers a review of the theory of locally convex quasi *-algebras, authored by two of its contributors over the last 25 years. Quasi *-algebras are partial algebraic structures that are motivated by certain applications in Mathematical Physics. They arise in a natural way by completing a *-algebra under a locally convex *-algebra topology, with respect to which the multiplication is separately continuous. Among other things, the book presents an unbounded representation theory of quasi *-algebras, together with an analysis of normed quasi *-algebras, their spectral theory and a study of the structure of locally convex quasi *-algebras. Special attention is given to the case where the locally convex quasi *-algebra is obtained by completing a C*-algebra under a locally convex *-algebra topology, coarser than the C*-topology. Introducing the subject to graduate students and researchers wishing to build on their knowledge of the usual theory of Banach and/or locally convex algebras, this approach is supported by basic results and a wide variety of examples.
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