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Bauschke, Borwein, and Lewis have stated a trichotomy theorem [4, Theorem 5.7.16] that characterizes when the convergence of the method of alternating projections can be arbitrarily slow. However, there are two errors in their proof of this theorem. In this note, we show that although one of the errors is critical, the theorem itself is correct. We give a(More)
We analyze a coin-tossing model used by a ratings agency to justify the invention of constant proportion debt obligations (CPDOs), and prove that it was impossible for CPDOs to achieve in a finite lifetime the Cash-In event of doubling its capital. In the best-case scenario in which the coin is two-headed, we show that the goal of attaining the Cash-In(More)
We study the rate of convergence of a sequence of linear operators that converges pointwise to a linear operator. Our main interest is in characterizing the slowest type of pointwise convergence possible. A sequence of linear operators (Ln) is said to converge to a linear operator L arbitrarily slowly (resp., almost arbitrarily slowly) provided that (Ln)(More)
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