Partial *-Algebras and Their Operator Realizations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
2002
|
| Schriftenreihe: | Mathematics and Its Applications
553 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Algebras of bounded operators are familiar, either as C*-algebras or as von Neumann algebras. A first generalization is the notion of algebras of unbounded operators (O*-algebras), mostly developed by the Leipzig school and in Japan (for a review, we refer to the monographs of K. Schmüdgen [1990] and A. Inoue [1998]). This volume goes one step further, by considering systematically partial *-algebras of unbounded operators (partial O*-algebras) and the underlying algebraic structure, namely, partial *-algebras. It is the first textbook on this topic. The first part is devoted to partial O*-algebras, basic properties, examples, topologies on them. The climax is the generalization to this new framework of the celebrated modular theory of Tomita-Takesaki, one of the cornerstones for the applications to statistical physics. The second part focuses on abstract partial *-algebras and their representation theory, obtaining again generalizations of familiar theorems (Radon-Nikodym, Lebesgue) |
| Beschreibung: | 1 Online-Ressource (XX, 522 p) |
| ISBN: | 9789401700658 9789048161768 |
| DOI: | 10.1007/978-94-017-0065-8 |
Internformat
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| 500 | |a Algebras of bounded operators are familiar, either as C*-algebras or as von Neumann algebras. A first generalization is the notion of algebras of unbounded operators (O*-algebras), mostly developed by the Leipzig school and in Japan (for a review, we refer to the monographs of K. Schmüdgen [1990] and A. Inoue [1998]). This volume goes one step further, by considering systematically partial *-algebras of unbounded operators (partial O*-algebras) and the underlying algebraic structure, namely, partial *-algebras. It is the first textbook on this topic. The first part is devoted to partial O*-algebras, basic properties, examples, topologies on them. The climax is the generalization to this new framework of the celebrated modular theory of Tomita-Takesaki, one of the cornerstones for the applications to statistical physics. The second part focuses on abstract partial *-algebras and their representation theory, obtaining again generalizations of familiar theorems (Radon-Nikodym, Lebesgue) | ||
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Datensatz im Suchindex
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| discipline | Mathematik |
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| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:15Z |
| institution | BVB |
| isbn | 9789401700658 9789048161768 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027859602 |
| oclc_num | 860233013 |
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| physical | 1 Online-Ressource (XX, 522 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 2002 |
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| publisher | Springer Netherlands |
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| series2 | Mathematics and Its Applications |
| spelling | Antoine, Jean-Pierre Verfasser aut Partial *-Algebras and Their Operator Realizations by Jean-Pierre Antoine, Atsushi Inoue, Camillo Trapani Dordrecht Springer Netherlands 2002 1 Online-Ressource (XX, 522 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 553 Algebras of bounded operators are familiar, either as C*-algebras or as von Neumann algebras. A first generalization is the notion of algebras of unbounded operators (O*-algebras), mostly developed by the Leipzig school and in Japan (for a review, we refer to the monographs of K. Schmüdgen [1990] and A. Inoue [1998]). This volume goes one step further, by considering systematically partial *-algebras of unbounded operators (partial O*-algebras) and the underlying algebraic structure, namely, partial *-algebras. It is the first textbook on this topic. The first part is devoted to partial O*-algebras, basic properties, examples, topologies on them. The climax is the generalization to this new framework of the celebrated modular theory of Tomita-Takesaki, one of the cornerstones for the applications to statistical physics. The second part focuses on abstract partial *-algebras and their representation theory, obtaining again generalizations of familiar theorems (Radon-Nikodym, Lebesgue) Mathematics Global analysis (Mathematics) Operator theory Analysis Operator Theory Mathematics, general Mathematik Inoue, Atsushi Sonstige oth Trapani, Camillo Sonstige oth https://doi.org/10.1007/978-94-017-0065-8 Verlag Volltext |
| spellingShingle | Antoine, Jean-Pierre Partial *-Algebras and Their Operator Realizations Mathematics Global analysis (Mathematics) Operator theory Analysis Operator Theory Mathematics, general Mathematik |
| title | Partial *-Algebras and Their Operator Realizations |
| title_auth | Partial *-Algebras and Their Operator Realizations |
| title_exact_search | Partial *-Algebras and Their Operator Realizations |
| title_full | Partial *-Algebras and Their Operator Realizations by Jean-Pierre Antoine, Atsushi Inoue, Camillo Trapani |
| title_fullStr | Partial *-Algebras and Their Operator Realizations by Jean-Pierre Antoine, Atsushi Inoue, Camillo Trapani |
| title_full_unstemmed | Partial *-Algebras and Their Operator Realizations by Jean-Pierre Antoine, Atsushi Inoue, Camillo Trapani |
| title_short | Partial *-Algebras and Their Operator Realizations |
| title_sort | partial algebras and their operator realizations |
| topic | Mathematics Global analysis (Mathematics) Operator theory Analysis Operator Theory Mathematics, general Mathematik |
| topic_facet | Mathematics Global analysis (Mathematics) Operator theory Analysis Operator Theory Mathematics, general Mathematik |
| url | https://doi.org/10.1007/978-94-017-0065-8 |
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