Application Of Jacobis Representation Theorem To Locally Multiplicatively Convex Topological Real Algebras PDF Download

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Locally Convex Quasi *-Algebras and their Representations

Locally Convex Quasi *-Algebras and their Representations
Author: Maria Fragoulopoulou
Publisher: Springer Nature
Total Pages: 267
Release: 2020-04-07
Genre: Mathematics
ISBN: 3030377059

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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.


Topological Algebras with Involution

Topological Algebras with Involution
Author: M. Fragoulopoulou
Publisher: Elsevier
Total Pages: 514
Release: 2005-07-26
Genre: Mathematics
ISBN: 0080461220

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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.


Ordered Algebraic Structures and Related Topics

Ordered Algebraic Structures and Related Topics
Author: Fabrizio Broglia
Publisher: American Mathematical Soc.
Total Pages: 390
Release: 2017
Genre: Mathematics
ISBN: 1470429667

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Contains the proceedings of the international conference "Ordered Algebraic Structures and Related Topics", held in October 2015, at CIRM, Luminy, Marseilles. Papers cover topics in real analytic geometry, real algebra, and real algebraic geometry including complexity issues, model theory of various algebraic and differential structures, Witt equivalence of fields, and the moment problem.


Operator Theory in Different Settings and Related Applications

Operator Theory in Different Settings and Related Applications
Author: Roland Duduchava
Publisher: Birkhäuser
Total Pages: 313
Release: 2018-03-28
Genre: Mathematics
ISBN: 3319625276

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This book provides a selection of reports and survey articles on the latest research in the area of single and multivariable operator theory and related fields. The latter include singular integral equations, ordinary and partial differential equations, complex analysis, numerical linear algebra, and real algebraic geometry – all of which were among the topics presented at the 26th International Workshop in Operator Theory and its Applications, held in Tbilisi, Georgia, in the summer of 2015. Moreover, the volume includes three special commemorative articles. One of them is dedicated to the memory of Leiba Rodman, another to Murray Marshall, and a third to Boris Khvedelidze, an outstanding Georgian mathematician and one of the founding fathers of the theory of singular integral equations. The book will be of interest to a broad range of mathematicians, from graduate students to researchers, whose primary interests lie in operator theory, complex analysis and applications, as well as specialists in mathematical physics.


Locally Multiplicatively-Convex Topological Algebras

Locally Multiplicatively-Convex Topological Algebras
Author: E. A. Michael
Publisher: American Mathematical Society(RI)
Total Pages: 82
Release: 1952-12-31
Genre: Topological algebras
ISBN: 9780821812112

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Fundamentals of the Theory of Operator Algebras. Volume I

Fundamentals of the Theory of Operator Algebras. Volume I
Author: Richard V. Kadison
Publisher: American Mathematical Soc.
Total Pages: 416
Release: 1997
Genre: Mathematics
ISBN: 0821808192

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The first volume of a two-volume text for an intermediate graduate course or for self-study for students familiar with basic measure theory and topology. Volume one covers linear spaces, Hilbert space and linear operators, Banach algebras, C*- algebra theory, and von Neumann algebra theory. The volumes are numbered consecutively but indexed separately. Volume one was originally published by Academic Press in 1983. Annotation copyrighted by Book News, Inc., Portland, OR