Use of reproducing kernels and Berezin symbols technique in some questions of operator theory
Use of reproducing kernels and Berezin symbols technique in some questions of operator theory
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再现核和Berezin符号技术在算子理论若干问题中的应用
DOI：
10.1515/form.2011.073
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
M. Karaev
中科院分区：
文献类型：
--
作者：
M. Karaev
抽象。本文利用Berezin符号给出了Schatten-von Neumann类算子的一些特征，这些特征是由Nordgren和Rosenthal [7]提出的问题引起的.本文还讨论了与Berezin符号的乘法等式有关的其它一些问题。利用Berezin符号证明了关于紧算子弱极限的Gohberg-Krein型定理。
Abstract. We give in terms of Berezin symbols some characterizations for the operators belonging to the Schatten–von Neumann classes , , which were motivated by the questions posed by Nordgren and Rosenthal [7]. Some other problems related with the multiplicative equality for Berezin symbols are also discussed. We also prove in terms of Berezin symbols a Gohberg–Krein type theorem on the weak limit of compact operators.