Topological algebras with involution
Fragoulopoulou, Maria.
Topological algebras with involution [electronic resource] / Maria Fragoulopoulou. - 1st ed. - Amsterdam ; Boston : Elsevier, 2005. - 1 online resource (xvi, 495 p.) - North-Holland mathematics studies ; 200 . - 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. 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.
9780444520258 0444520252 0080461220 (electronic bk.) 9780080461229 (electronic bk.)
115455:115550 Elsevier Science & Technology http://www.sciencedirect.com
Topological algebras.
MATHEMATICS--Algebra--Linear.
Topological algebras.
Electronic books.
QA326 / .F72 2005eb
512/.55
Topological algebras with involution [electronic resource] / Maria Fragoulopoulou. - 1st ed. - Amsterdam ; Boston : Elsevier, 2005. - 1 online resource (xvi, 495 p.) - North-Holland mathematics studies ; 200 . - 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. 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.
9780444520258 0444520252 0080461220 (electronic bk.) 9780080461229 (electronic bk.)
115455:115550 Elsevier Science & Technology http://www.sciencedirect.com
Topological algebras.
MATHEMATICS--Algebra--Linear.
Topological algebras.
Electronic books.
QA326 / .F72 2005eb
512/.55
