Fredholmness of Toeplitz operators on generalized Hardy spaces over the polydisc

Koca B. B.

ARCHIV DER MATHEMATIK, cilt.107, sa.3, ss.265-270, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 107 Sayı: 3
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s00013-016-0950-y
  • Dergi Adı: ARCHIV DER MATHEMATIK
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.265-270
  • İstanbul Üniversitesi Adresli: Evet

Özet

We study the structure of the C*-algebra C*(A) generated by a system A of unilateral weighted shifts when the operator algebra generated by A is the polydisc algebra. With help of the obtained results, we present a necessary and sufficient condition for the Toeplitz operators with continuous symbols to be Fredholm.