On the weak limit of compact operators on the reproducing kernel Hilbert space and related questions

Saltan, Suna

doi:10.1515/auom-2016-0040

Abstract

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.

References

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On the weak limit of compact operators on the reproducing kernel Hilbert space and related questions

Abstract

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