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Topological algebras with involution

紀錄類型:	書目-電子資源 : 單行本
正題名/作者:	Topological algebras with involution/ Maria Fragoulopoulou.
作者:	Fragoulopoulou, Maria.
出版者:	Amsterdam ;Elsevier, : 2005.,
面頁冊數:	xvi, 495 p. ;25 cm.;
叢書名:	North-Holland mathematics studies ;
標題:	Topological algebras. -
電子資源:	An electronic book accessible through the World Wide Web; click for information
ISBN:	9780444520258

Topological algebras with involution
Fragoulopoulou, Maria.

Topological algebras with involution[electronic resource] /Maria Fragoulopoulou. - 1st ed. - Amsterdam ;Elsevier,2005. - xvi, 495 p. ;25 cm. - North-Holland mathematics studies ;200.

Includes bibliographical references (p. 451-485) and index.

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.

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.<P> Key features:<P> - 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.

Electronic reproduction.
Amsterdam :
Elsevier Science & Technology,
2007.

Mode of access: World Wide Web.

ISBN: 9780444520258

Source: 115455:115550Elsevier Science & Technologyhttp://www.sciencedirect.comSubjects--Topical Terms:

292444
Topological algebras.
Index Terms--Genre/Form:

96803
Electronic books.

LC Class. No.: QA326 / .F72 2005eb

Dewey Class. No.: 512/.55

Topological algebras with involution
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245 1 0 $a Topological algebras with involution $h [electronic resource] / $c Maria Fragoulopoulou.
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505 0 $a 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.
520 $a 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.<P> Key features:<P> - 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.
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