l(q)(l(infinity)(2')) be a diagonal operator assigning to vector-coordinate x, is an element of l(p)(2') the vectorp-value j(-alpha)x(j). We prove the estimates of en'/>
Entropy numbers of vector-valued diagonal operators
Let I-alpha : l(q)(l(p)(2')) --> l(q)(l(infinity)(2')) be a diagonal operator assigning to vector-coordinate x, is an element of l(p)(2') the vectorp-value j(-alpha)x(j). We prove the estimates of entropy numbers of I-alpha The results confirm the conjecture stated in a recent paper by Cobos and Kuhn, and extend their results to quasi-Banach setting. (C) 2002 Elsevier Science (USA). [References: 7]
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