Banach代数对偶中投影的不变性和正态性

Q4 Mathematics New Zealand Journal of Mathematics Pub Date : 2021-12-14 DOI:10.53733/132

A. L. Barrenechea, C. Peña

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引用次数: 0

摘要

研究了Banach代数对偶中的不变投影和自然投影。这类投影与Banach代数闭理想中有界近似恒等式的存在性问题有关。我们知道，任何不变投影都是自然投影。在本文中，我们考虑了自然投影何时为不变投影的问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Invariance and normality of projections in the dual of Banach algebras

We study the classes of invariant and natural projections in the dual of a Banach algebra $A$. These type of projections are relevant by their connections with the existence problem of bounded approximate identities in closed ideals of Banach algebras. It is known that any invariant projection is a natural projection. In this article we consider the issue of when a natural projection is an invariant projection.

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