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The Lipschitz bounded approximation property for operator ideals

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In this article, we introduce the Lipschitz bounded approximation property for operator ideals. With this notion, we extend the original work of Godefroy and Kalton and give some partial answers… Click to show full abstract

In this article, we introduce the Lipschitz bounded approximation property for operator ideals. With this notion, we extend the original work of Godefroy and Kalton and give some partial answers on equivalence between the bounded approximation property and the Lipschitz bounded approximation property based on an arbitrary operator ideal. Furthermore, we investigate the three space problem for the preceding bounded approximation properties.

Keywords: bounded approximation; operator; approximation property; approximation; lipschitz bounded

Journal Title: Banach Journal of Mathematical Analysis
Year Published: 2021

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