An application of the Sakai's theorem to the characterization of H*-algebras
The well-known Sakai's theorem, which states that every derivation acting on a von Neumann algebra is inner, is ,used to obtain a new elegant proof of the Saworotnow's characterization theorem for associative H*-algebras via two-sided H*-algebras. This proof completely avoids structure the...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1995-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171295000408 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832561487001944064 |
|---|---|
| author | Borut Zalar |
| author_facet | Borut Zalar |
| author_sort | Borut Zalar |
| collection | DOAJ |
| description | The well-known Sakai's theorem, which states that every derivation acting on a von
Neumann algebra is inner, is ,used to obtain a new elegant proof of the Saworotnow's characterization
theorem for associative H*-algebras via two-sided H*-algebras. This proof completely avoids
structure theory. |
| format | Article |
| id | doaj-art-374a78fca417459297e75c062b390e2b |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1995-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-374a78fca417459297e75c062b390e2b2025-02-03T01:24:53ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251995-01-0118231732210.1155/S0161171295000408An application of the Sakai's theorem to the characterization of H*-algebrasBorut Zalar0University of Ljubljana, Institute of Mathematics, Jadranska 19, Ljubljana 61000, SloveniaThe well-known Sakai's theorem, which states that every derivation acting on a von Neumann algebra is inner, is ,used to obtain a new elegant proof of the Saworotnow's characterization theorem for associative H*-algebras via two-sided H*-algebras. This proof completely avoids structure theory.http://dx.doi.org/10.1155/S0161171295000408H*-algebrainvolutionautomorphismderivationcentralizer von Neumann algebra. |
| spellingShingle | Borut Zalar An application of the Sakai's theorem to the characterization of H*-algebras International Journal of Mathematics and Mathematical Sciences H*-algebra involution automorphism derivation centralizer von Neumann algebra. |
| title | An application of the Sakai's theorem to the characterization of H*-algebras |
| title_full | An application of the Sakai's theorem to the characterization of H*-algebras |
| title_fullStr | An application of the Sakai's theorem to the characterization of H*-algebras |
| title_full_unstemmed | An application of the Sakai's theorem to the characterization of H*-algebras |
| title_short | An application of the Sakai's theorem to the characterization of H*-algebras |
| title_sort | application of the sakai s theorem to the characterization of h algebras |
| topic | H*-algebra involution automorphism derivation centralizer von Neumann algebra. |
| url | http://dx.doi.org/10.1155/S0161171295000408 |
| work_keys_str_mv | AT borutzalar anapplicationofthesakaistheoremtothecharacterizationofhalgebras AT borutzalar applicationofthesakaistheoremtothecharacterizationofhalgebras |