Zhu, Fubo; Liu, Haiyang Stability of Doob-Meyer decomposition of Hilbert valued semimartingales under extended convergence. (Chinese. English summary) Zbl 1164.60362 J. Xuzhou Norm. Univ., Nat. Sci. 25, No. 4, 33-36 (2007). Summary: Using the sufficient and necessary condition for the tightness of cadlag Hilbert valued processes, we give the stability of the canonical decomposition of Hilbert-valued semimartingales, which generalizes the corresponding results on \(R\) space. MSC: 60G46 Martingales and classical analysis 60G51 Processes with independent increments; Lévy processes Keywords:Hilbert-valued semimartingale; extended convergence; special semimartingale; Skorokhod topology PDFBibTeX XMLCite \textit{F. Zhu} and \textit{H. Liu}, J. Xuzhou Norm. Univ., Nat. Sci. 25, No. 4, 33--36 (2007; Zbl 1164.60362)