Abstract We extend the classical Banach-Mazur distance [3] from Banach spaces to linear operators between these spaces. We prove in the finite dimensional case that the corresponding topology is metrizable, complete, separable and locally compact. Furthermore, we prove that the Banach-Mazur compactum embeds isometrically into the resulting topological space.

中文翻译：

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有界线性算子之间的距离

摘要 我们将经典的 Banach-Mazur 距离 [3] 从 Banach 空间扩展到这些空间之间的线性算子。我们在有限维情况下证明了相应的拓扑是可度量的、完备的、可分的和局部紧的。此外，我们证明了 Banach-Mazur 密实体等距嵌入到生成的拓扑空间中。