On the complete bounds of $$L_p$$Lp-Schur multipliers
On the complete bounds of $$L_p$$Lp-Schur multipliers
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DOI：
10.1007/s00013-019-01316-7
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发表时间：
2019-08
影响因子：
0.6
通讯作者：
M. Caspers;Guillermo Wildschut
中科院分区：
文献类型：
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作者：
M. Caspers;Guillermo Wildschut
研究了Schatten-von Neumann类上的Schur乘子族和完全有界Schur乘子族。我们首先证明了For的存在，特别是由插值而来的下列包含是严格的：和。在本文的其余部分中，我们收集计算证据，以证明我们已经拥有了，而且在界和完备界相等的情况下。这表明Pisier(Astérisque 247：VI+131,1998)提出的一个猜想是错误的。
We study the classof Schur multipliers on the Schatten-von Neumann classwithas well as the class of completely bounded Schur multipliers. We first show that forthere existswith, so in particular the following inclusions that follow from interpolation are strict:and. In the remainder of the paper we collect computational evidence that forwe have, moreover with equality of bounds and complete bounds. This would suggest that a conjecture raised by Pisier (Astérisque 247:vi+131, 1998) is false.