<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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. </p></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.

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

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

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...

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

Publié en ligne: 21 sept. 2017

Pages: 253 - 260

Reçu: 08 sept. 2014

Accepté: 02 mars 2015

DOI: https://doi.org/10.1515/auom-2016-0040

Mots clés
Compact operator, reproducing kernel Hilbert space, Berezin symbol, re- producing kernel, invariant subspace

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Publié en ligne: 21 sept. 2017

Pages: 253 - 260

Reçu: 08 sept. 2014

Accepté: 02 mars 2015

DOI: https://doi.org/10.1515/auom-2016-0040

Mots clésCompact operator, reproducing kernel Hilbert space, Berezin symbol, re- producing kernel, invariant subspace

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Mots clés
Compact operator, reproducing kernel Hilbert space, Berezin symbol, re- producing kernel, invariant subspace