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Locally Convex Quasi *-Algebras and their Representations / by Maria Fragoulopoulou, Camillo Trapani.

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Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2366,2368-2379,2381-2382 2385,2388-2389
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Format:
Book
Author/Creator:
Fragoulopoulou, Maria, author.
Trapani, C. (Camillo), author.
Contributor:
SpringerLink (Online service)
Series:
Mathematics and Statistics (Springer-11649)
Lecture Notes in Mathematics, 0075-8434 ; 2257.
Lecture Notes in Mathematics, 0075-8434 ; 2257
Language:
English
Subjects (All):
Functional analysis.
Operator theory.
Associative rings.
Rings (Algebra).
Functional Analysis.
Operator Theory.
Associative Rings and Algebras.
Local Subjects:
Functional Analysis.
Operator Theory.
Associative Rings and Algebras.
Physical Description:
1 online resource (VII, 262 pages) : 2 illustrations.
Edition:
First edition 2020.
Contained In:
Springer eBooks
Place of Publication:
Cham : Springer International Publishing : Imprint: Springer, 2020.
System Details:
text file PDF
Summary:
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.
Other Format:
Printed edition:
ISBN:
978-3-030-37705-2
9783030377052
Access Restriction:
Restricted for use by site license.

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