VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
  • Maps on self-adjoint operators preserving numerical range of products up to a factor
    He, Kan ...
    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 ▫$$W(AB - \xi BA) = W(\Phi(A)\Phi(B) - \eta\Phi(B)\phi(A))$$▫ 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 ▫$A \in {\mathscr{S}}_a(H)$▫.
    Vir: Shùxué xuébào = Acta mathematica sinica. - ISSN 0583-1431 (Vol. 54, no. 6, 2011, str. 925-932)
    Vrsta gradiva - članek, sestavni del
    Leto - 2011
    Jezik - kitajski
    COBISS.SI-ID - 16397401

    Povezava(-e):

    http://www.actamath.com/Jwk_sxxb_cn/CN/volumn/volumn_1986.shtml
    Repozitorij Univerze na Primorskem - RUP

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