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We estimate the norm of the almost Mathieu operator , regarded as an element in the rotation C*-algebra . In the process, we prove for every λR and the inequality
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Suppose that is a sequence of regular families of finite subsets of such that contains all singletons, and (θn)n=1 is a nonincreasing null sequence in (0,1). The mixed Tsirelson space is the completion of c00 with respect to the implicitly defined norm
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