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

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SALTAN S.

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, vol.24, no.2, pp.253-260, 2016 (SCI-Expanded)

• 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.