Correction to my paper: “On pairs of matrices with property $L$”

Jiří Kopáček

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Maximum modulus in a bidisc of analytic functions of bounded $𝐋$ -index and an analogue of Hayman’s theorem

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We generalize some criteria of boundedness of $𝐋$ -index in joint variables for in a bidisc analytic functions. Our propositions give an estimate the maximum modulus on a skeleton in a bidisc and an estimate of $(p + 1)$ th partial derivative by lower order partial derivatives (analogue of Hayman’s theorem).

On Gelfand-Zetlin modules

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[For the entire collection see Zbl 0742.00067.]Let $𝔤_{k}$ be the Lie algebra $𝔤 l (k, 𝒞)$ , and let $U_{k}$ be the universal enveloping algebra for $𝔤_{k}$ . Let $Z_{k}$ be the center of $U_{k}$ . The authors consider the chain of Lie algebras $𝔤_{n} \supset 𝔤_{n - 1} \supset \dots \supset 𝔤_{1}$ . Then $Z = 〈 Z_{k} ∣ k = 1, 2, \dots n 〉$ is an associative algebra which is called the Gel’fand-Zetlin subalgebra of $U_{n}$ . A $𝔤_{n}$ module $V$ is called a $G Z$ -module if $V = \sum_{x} \oplus V (x)$ , where the summation is over the space of characters of $Z$ and $V (x) = {v \in V ∣ {(a - x (a))}^{m} v = 0$ , $m \in 𝒵_{+}$ , $a \in 𝒵}$ . The authors describe several properties of $G Z$ - modules. For example, they prove that if $V (x) = 0$ ...

Displaying similar documents to “Correction to my paper: “On pairs of matrices with property L ””

The analytic α -capacity and the Cauchy integral

Radii of p-valence of certain analytic functions of order α with negative coefficients

Relations between the boundary values and periods for generalized analytic functions in R n

Separately analytic functions and envelopes of holomorphy of some lower dimensional subsets of C n

Maximum modulus in a bidisc of analytic functions of bounded 𝐋 -index and an analogue of Hayman’s theorem

On Gelfand-Zetlin modules

Displaying similar documents to “Correction to my paper: “On pairs of matrices with property $L$ ””

The analytic $α$ -capacity and the Cauchy integral

Radii of p-valence of certain analytic functions of order $α$ with negative coefficients

Relations between the boundary values and periods for generalized analytic functions in $R^{n}$

Separately analytic functions and envelopes of holomorphy of some lower dimensional subsets of $C^{n}$

Maximum modulus in a bidisc of analytic functions of bounded $𝐋$ -index and an analogue of Hayman’s theorem