| Title: | Maps on self-adjoint operators preserving numerical range of products up to a factor |
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| Authors: | ID He, Kan (Author)
ID Hou, Jin Chuan (Author)
ID Dolinar, Gregor (Author)
ID Kuzma, Bojan (Author) |
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| Files: |  http://www.actamath.com/Jwk_sxxb_cn/CN/volumn/volumn_1986.shtml
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| Language: | Unknown |
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| Work type: | Not categorized |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | IAM - Andrej Marušič Institute
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| Abstract: | Let ▫$H$▫ be a complex Hilbert space and ▫${mathscr{S}}_a(H)$▫ the space of all self adjoint operators on ▫$H$▫. ▫$Phi colon {mathscr{S}}_a(H) to {mathscr{S}}_a(H)$▫ is a surjective map. For ▫$xi, eta in mathbb{C} setminus {1}$▫, then ▫$Phi$▫ satisfies that ▫$$W(AB - xi BA) = W(Phi(A)Phi(B) - etaPhi(B)phi(A))$$▫ for all ▫$A,B in {mathscr{S}}_a(H)$▫ if and only if there exists a unitary operator or con-unitary operator ▫$U$▫ such that ▫$Phi(A) = UAU^ast$▫ for all ▫$A in {mathscr{S}}_a(H)$▫ or ▫$Phi(A) = -UAU^ast$▫ for all ▫$A in {mathscr{S}}_a(H)$▫. |
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| Keywords: | matematika, teorija operatorjev, numerični zaklad, ohranjevalci |
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| Year of publishing: | 2011 |
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| Number of pages: | str. 925-932 |
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| Numbering: | Vol. 54, no. 6 |
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| PID: | 20.500.12556/RUP-7742  |
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| ISSN: | 0583-1431 |
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| UDC: | 517.983 |
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| COBISS.SI-ID: | 16397401 |
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| Publication date in RUP: | 03.04.2017 |
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| Views: | 3620 |
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| Downloads: | 46 |
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| Metadata: |    |
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