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引用次数: 0
摘要
希尔伯特空间之间线性算子的奇异数被概括为巴拿赫空间的 s 数（在皮特施的意义上）。这样就有了不同的选择，包括近似数、格尔范数、科尔莫戈罗夫数和伯恩斯坦数。在此，我们提出了最小 s 数和最大 s 数之间界限的基本证明。
Singular numbers of linear operators between Hilbert spaces were generalized to Banach spaces by s-numbers (in the sense of Pietsch). This allows for different choices, including approximation, Gelfand, Kolmogorov and Bernstein numbers. Here, we present an elementary proof of a bound between the smallest and the largest s-number.
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