On the weak limit of compact operators on the reproducing kernel Hilbert space and related questions
| Sep 21, 2017
Published Online: Sep 21, 2017
Page range: 253 - 260
Received: Sep 08, 2014
Accepted: Mar 02, 2015
DOI: https://doi.org/10.1515/auom-2016-0040
Keywords
© 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.