论 ℓ1$\ell _1$ 上有界型对称解析函数代数的谱

Pub Date : 2024-07-29 DOI:10.1002/mana.202300415

Iryna Chernega, Pablo Galindo, Andriy Zagorodnyuk

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引用次数: 0

摘要

我们得到了序列空间上球上有界对称解析函数弗雷谢特代数谱的完整描述。这是在证明了在Ⅳ的类似代数上，任何评价同态Ⅳ的半径函数与Ⅳ的规范重合之后实现的。

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On the spectrum of the algebra of bounded-type symmetric analytic functions on ℓ 1 $\ell _1$

We obtain a complete description of the spectrum of the Fréchet algebra of symmetric analytic functions bounded on balls on the sequence space $ℓ_{1}$ . This is achieved after proving that on the analogous algebra for $ℓ_{p}$ , $1 \leq p < \infty$ , the radius function of any evaluation homomorphism $δ_{x}, x \in ℓ_{p}$ , coincides with the norm of $x$ .

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