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

Suna Saltan

doi:10.1515/auom-2016-0040

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

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 24 (2016): Issue 2 (June 2016)

By: Suna Saltan

Open Access

|Sep 2017

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.

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