| Edition |
1st ed. |
| Description |
1 online resource (xvi, 495 pages) |
|
text txt rdacontent |
|
computer c rdamedia |
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online resource cr rdacarrier |
| Series |
North-Holland mathematics studies ; 200 |
|
North-Holland mathematics studies ; 200.
|
| Summary |
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. |
| Contents |
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. |
| Bibliography |
Includes bibliographical references (pages 451-485) and index. |
| Note |
Print version record. |
| Subject |
Topological algebras.
|
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Algèbres topologiques.
|
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MATHEMATICS -- Algebra -- Linear.
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Topological algebras
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| Other Form: |
Print version: Fragoulopoulou, Maria. Topological algebras with involution. 1st ed. Amsterdam ; Boston : Elsevier, 2005 0444520252 9780444520258 (OCoLC)61678636 |
| ISBN |
9780444520258 |
|
0444520252 |
|
0080461220 (electronic bk.) |
|
9780080461229 (electronic bk.) |
| Standard No. |
AU@ 000048129658 |
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AU@ 000062569484 |
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CHNEW 001005650 |
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DEBBG BV036962244 |
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DEBBG BV039830112 |
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DEBBG BV042317260 |
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DEBSZ 276337824 |
|
DEBSZ 482351667 |
|
NZ1 12434543 |
|
