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arXiv math/0308070math.OA
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Jordan初等算子的范数和CB范数

Norms and CB norms of Jordan elementary operators

Richard M. Timoney

摘要:

我们建立了B(H)上初等算子的范数和CB-范数的下界。我们的主要结果是关于算子Tx = axb + bxa,证明了它的范数至少是a和b的范数的乘积,证明了M的一个猜想.马修在特殊情况下,我们还建立了CB模和T的模的一些结果和公式。

英文摘要:

We establish lower bounds for norms and CB-norms of elementary operators on B(H). Our main result concerns the operator Tx = axb + bxa and we show its norm is at least the product of the norms of a and b, proving a conjecture of M. Mathieu. We also establish some other results and formulae for the CB norm and norm of such T for special cases.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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