On the weak limit of compact operators on the reproducing kernel Hilbert space and related questions
| 21. Sept. 2017
Über diesen Artikel
Online veröffentlicht: 21. Sept. 2017
Seitenbereich: 253 - 260
Eingereicht: 08. Sept. 2014
Akzeptiert: 02. März 2015
DOI: https://doi.org/10.1515/auom-2016-0040
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© 2017
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
By applying the so-called Berezin symbols method we prove a Gohberg- Krein type theorem on the weak limit of compact operators on the non- standard reproducing kernel Hilbert space which essentially improves the similar results of Karaev [5]: We also in terms of reproducing kernels and Berezin symbols investigate the structure of invariant subspaces of compact operators.