span(A₁, . . . ,An) denotes the linear space spanned by Hilbert space operators A₁, . . . ,An. It is known that if span (A, B) consists of normal operators, then A, B commute. Let MI denote the set of ...
It is shown that under fairly mild conditions linear combinations of independent normally distributed random variables with random coefficients tend to zero almost everywhere. The result is applied to ...
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