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Article: Numerical radius perserving operators on B(H)
| Title | Numerical radius perserving operators on B(H) |
|---|---|
| Authors | |
| Keywords | Mathematics |
| Issue Date | 1995 |
| Publisher | American Mathematical Society. |
| Citation | American Mathematical Society Proceedings, 1995, v. 123 n. 5, p. 1437-1439 How to Cite? |
| Abstract | Let H be a Hilbert space over @ and let B(H) denote the vector space of all bounded linear operators on H. We prove that a linear isomorphism T : B(H) --> B(H) is numerical radius-preserving if and only if it is a multiply of a C*-isomorphism by a scalar of modulus one. |
| Persistent Identifier | http://hdl.handle.net/10722/44910 |
| ISSN | 2023 Impact Factor: 0.8 2023 SCImago Journal Rankings: 0.837 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Chan, JT | en_HK |
| dc.date.accessioned | 2007-10-30T06:13:12Z | - |
| dc.date.available | 2007-10-30T06:13:12Z | - |
| dc.date.issued | 1995 | en_HK |
| dc.identifier.citation | American Mathematical Society Proceedings, 1995, v. 123 n. 5, p. 1437-1439 | en_HK |
| dc.identifier.issn | 0002-9939 | en_HK |
| dc.identifier.uri | http://hdl.handle.net/10722/44910 | - |
| dc.description.abstract | Let H be a Hilbert space over @ and let B(H) denote the vector space of all bounded linear operators on H. We prove that a linear isomorphism T : B(H) --> B(H) is numerical radius-preserving if and only if it is a multiply of a C*-isomorphism by a scalar of modulus one. | en_HK |
| dc.format.extent | 108441 bytes | - |
| dc.format.extent | 1759 bytes | - |
| dc.format.mimetype | application/pdf | - |
| dc.format.mimetype | text/plain | - |
| dc.language | eng | en_HK |
| dc.publisher | American Mathematical Society. | en_HK |
| dc.rights | First published in American Mathematical Society Proceedings, 1995, v. 123 n. 5, p. 1437-1439, published by the American Mathematical Society, | en_HK |
| dc.subject | Mathematics | en_HK |
| dc.title | Numerical radius perserving operators on B(H) | en_HK |
| dc.type | Article | en_HK |
| dc.identifier.openurl | http://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0002-9939&volume=123&issue=5&spage=1437&epage=1439&date=1995&atitle=Numerical+radius+perserving+operators+on+B(H) | en_HK |
| dc.description.nature | published_or_final_version | en_HK |
| dc.identifier.doi | 10.2307/2161132 | - |
| dc.identifier.hkuros | 20644 | - |
| dc.identifier.isi | WOS:A1995QV36300019 | - |
| dc.identifier.issnl | 0002-9939 | - |