FAR EASTERN BRANCH OF THE RUSSIAN ACADEMY OF SCIENCES
INSTITUTE OF APPLIED MATHEMATICS KHABAROVSK DIVISION
Far Eastern Mathematical Journal
On estimate of the K-divisibility constant for Banach pairs |
Dmitriev A. A. |
2013, issue 2, P. 179-191 |
Abstract |
| The paper contains some results on estimates of the K-divisibility constant for Banach pairs. Its has been established that it is impossible to improve the estimate $3+2\sqrt2$ for any Banach pair and $4$ for any pair of Banach lattices using the method of Yu. A. Brudnyi and N. Ya. Krugljak. The Sedaev-Semenov theorem for the pair $(L_1$1, L_1)$ with measure on half-axis has been proved by only the properties of concave functions. |
Keywords: Banach couple, interpolation of linear operators, K-method, K-functional, constant K-divisibility |
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References |
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