On the weak limit of compact operators on the reproducing kernel Hilbert space and related questions
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, vol.24, no.2, pp.253-260, 2016 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 24 Issue: 2
- Publication Date: 2016
- Doi Number: 10.1515/auom-2016-0040
- Journal Name: ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.253-260
- Süleyman Demirel University Affiliated: Yes
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 nonstandard 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.