Use of reproducing kernels and Berezin symbols technique in some questions of operator theory


Karaev M. T.

FORUM MATHEMATICUM, cilt.24, ss.553-564, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 24 Konu: 3
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1515/form.2011.073
  • Dergi Adı: FORUM MATHEMATICUM
  • Sayfa Sayıları: ss.553-564

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.