A Stochastic Integral for Operator-Valued Functions

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Previous article Next article A Stochastic Integral for Operator-Valued FunctionsN. N. Vakhaniya and N. P. KandelskiN. N. Vakhaniya and N. P. Kandelskihttps://doi.org/10.1137/1112067PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Ju. L. Daleckii˘, Differential equations with functional derivatives and stochastic equations for generalized random processes, Dokl. Akad. Nauk SSSR, 166 (1966), 1035–1038, (In Russian.) MR0214943 Google Scholar[2] T. L. Chantladze, On a stochastic differential equation in Hilbert space, Trudy VTs Akad. Nauk Gruzin. SSR, V:I (1965), 105–124, (In Russian.) Google Scholar[3] V. V. Baklan, Masters Thesis, Variational differential equations and Markov processes in Hilbert space, Abstract of Candidate's Dissertation, Kiev, 1964, (In Russian.) Google Scholar[4] Nelson Dunford and , Jacob T. Schwartz, Linear Operators. I. General Theory, With the assistance of W. G. Bade and R. G. Bartle. Pure and Applied Mathematics, Vol. 7, Interscience Publishers, Inc., New York, 1958xiv+858 MR0117523 0084.10402 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Stochastic differential equations in a Banach space driven by the cylindrical Wiener processTransactions of A. Razmadze Mathematical Institute, Vol. 171, No. 1 Cross Ref Characterization and identifiability for stochastic processes Cross Ref Characterization of stochastic processes by stochastic integrals1 July 2016 | Advances in Applied Probability, Vol. 15, No. 01 Cross Ref Characterization of stochastic processes by stochastic integrals1 July 2016 | Advances in Applied Probability, Vol. 15, No. 1 Cross Ref Some charact�rization theorems for Wiener process in a Hilbert spaceZeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, Vol. 19, No. 2 Cross Ref An operator-valued stochastic integralProceedings of the Japan Academy, Series A, Mathematical Sciences, Vol. 47, No. 5 Cross Ref Operator-Valued wide-sense Markov processes and solutions of infinite-dimensional linear differential systems driven by white noiseMathematical Systems Theory, Vol. 4, No. 4 Cross Ref Volume 12, Issue 3| 1967Theory of Probability & Its Applications History Submitted:04 May 1966Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1112067Article page range:pp. 525-528ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics