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


SALTAN S.

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, cilt.24, sa.2, ss.253-260, 2016 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 24 Konu: 2
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1515/auom-2016-0040
  • Dergi Adı: ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
  • Sayfa Sayıları: ss.253-260

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.