On the weak limit of compact operators on the reproducing kernel Hilbert space and related questions
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, cilt.24, sa.2, ss.253-260, 2016 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 24 Sayı: 2
- Basım Tarihi: 2016
- Doi Numarası: 10.1515/auom-2016-0040
- Dergi Adı: ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.253-260
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
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.