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In this paper, we show that the Ces\`{a}ro operator on the Hardy space $H^p$, $0<p<\infty$, is cyclic. Our techniques will involve semigroups.
This survey paper provides a comprehensive study of unitarily invariant norms on the algebra of $n \times n$ matrices. This investigation leads naturally to the theory of symmetric gauge functions, a class of norms on $\mathbb{R}^n$ characterized by invariance and monotonicity properties. We develop the necessary frame...
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