Mariia Dospolova,St.Petersburg State University, St. Petersburg Department of Steklov Mathematical Institute

Using the results presented in the previous lecture, namely the generalization of the Tsirelson's theorem [2] to mixed volumes, we calculate the mixed volume of the closed convex hulls of the two orthogonal Wiener spirals. Recall that the Wiener spiral is a set of functions of the form {1[0,t](·) : t ∈ [0, 1]} ? L2[0, 1]. This concept introduced by Kolmogorov is an important object in functional analysis.
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