Use of reproducing kernels and Berezin symbols technique in some questions of operator theory
FORUM MATHEMATICUM, cilt.24, sa.3, ss.553-564, 2012 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 24 Sayı: 3
- Basım Tarihi: 2012
- Doi Numarası: 10.1515/form.2011.073
- Dergi Adı: FORUM MATHEMATICUM
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.553-564
- Süleyman Demirel Üniversitesi Adresli: Hayır
Özet
We give in terms of Berezin symbols some characterizations for the operators belonging to the Schatten-von Neumann classes sigma(p), 0 < p < +infinity, which were motivated by the questions posed by Nordgren and Rosenthal [7]. Some other problems related with the multiplicative equality for Berezin symbols are also discussed. We also prove in terms of Berezin symbols a Gohberg-Krein type theorem on the weak limit of compact operators.