On trace norms in factors of type II
β Scribed by Paul Willig
- Publisher
- John Wiley and Sons
- Year
- 1968
- Tongue
- English
- Weight
- 234 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0010-3640
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π SIMILAR VOLUMES
The converse inequality of Markov type is discussed in this note. The main result says that the best possible constant for this inequality is the square root of the least eigenvalue of a certain positive definite matrix. As applications of the main result, the Laguerre weight and Hermite weight are
Let \(f(x)\) be a polynomial of degree \(n\) with complex coefficients, which factors as \(f(x)=\) \(g(x) h(x)\). Let \(H(g)\) be the maximum of the absolute value of the coefficients of \(g\). For \(1 \leq p \leq \infty\), let \([f]_{p}\) denote the \(p^{\text {th }}\) Bombieri norm of \(f\). This