Orthogonally additive mappings on Hilbert modules (CROSBI ID 206536)
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Podaci o odgovornosti
Ilišević, Dijana ; Turnšek, Aleksej ; Yang, Dilian
engleski
Orthogonally additive mappings on Hilbert modules
In this paper, we study the representation of orthogonally additive mappings acting on Hilbert C*-modules and Hilbert H*-modules. One of our main results shows that every continuous orthogonally additive mapping f from a Hilbert module W over K(H) or HS(H) to a complex normed space is of the form f(x)=T(x)+S(<x, x>) for all x in W, where T is a continuous additive mapping, and S is a continuous linear mapping.
orthogonally additive mapping ; Hilbert C*-module ; Hilbert H*-module ; orthogonality preserving mapping
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