Yu. I. Lyubich

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math.FA2007

Upper bound for isometric embeddings \ell_2^m\to\ell_p^n

Yuri I. Lyubich

The isometric embeddings $ℓ_{2; K}^{m} \to ℓ_{p; K}^{n}$ ( $m \geq 2$ , $p \in 2 N$ ) over a field $K \in R, C, H$ are considered, and an upper bound for the minimal $n$ is proved. In the…

math.FA2007

Axiomatic theory of divergent series and cohomological equations

Yuri I. Lyubich

A general theory of summation of divergent series based on the Hardy-Kolmogorov axioms is developed. A class of functional series is investigated by means of ergodic theory. The re…