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  • A result concerning additive functions in hermitian Banach ▫$\ast$▫-algebras and an application
    Vukman, Joso
    Let ▫${\cal A}$▫ be a complex hermitian Banach ▫$\ast$▫-algebra with an identity element ▫$e$▫. Suppose there exist an additive function ▫$f:{\cal A}\to {\cal A}$▫ such that ▫$f(a) = ... -{a^\ast}af(a^{-1})$▫ holds for all normal invertible elements ▫$a\in {\cal A}$▫. We prove that in this case ▫$f$▫ is of the form ▫$f(a) = f(ie)k$▫, where ▫$a = h + ik$▫. Using this result we generalize ▫$S$▫. Kurepa's extension of Jordan-Neumann characterization of pre-Hilbert space.
    Vir: Preprint series of the Department of Mathematics. - ISSN 0352-3004 (Let. 21, št. 095, 1983, str. 168-180)
    Vrsta gradiva - članek, sestavni del
    Leto - 1984
    Jezik - angleški
    COBISS.SI-ID - 7339353

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