An estimate for the modulus of convexity and characteristic of convexity of a general direct sum of Banach spaces is established. Using direct sums, we construct a space with given characteristic of convexity and the value of the modulus of convexity at 2. A result on uniform convexity of spaces obtained with the general discrete interpolation method is proved.

中文翻译：

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一般直和与插值空间的一致凸性

建立了 Banach 空间的一般直和的凸性模量和凸性特征的估计。我们利用直和构造了一个具有给定凸性特征和凸性模值为2的空间。证明了用一般离散插值法得到的空间一致凸性的结果。