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Complex martingale convergence

Part of the Lecture Notes in Mathematics book series (LNM,volume 1166)

Abstract

We investigate martingales appropriate for use in complex Banach spaces in connection with the complex uniform convexity popularized by Davis, Garling and Tomczak. This brings us into contact with diverse concepts, such as: pseudo-convex sets, plurisubharmonic functions, conformal martingales, the Radon-Nikodym property, and the analytic Randon-Nikodym property.

Supported in part by N.S.F. grant DMS84-01986.

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© 1985 Springer-Verlag

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Edgar, G.A. (1985). Complex martingale convergence. In: Kalton, N.J., Saab, E. (eds) Banach Spaces. Lecture Notes in Mathematics, vol 1166. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074691

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  • DOI: https://doi.org/10.1007/BFb0074691

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16051-9

  • Online ISBN: 978-3-540-39736-6

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