Fredholm criteria in a C*-algebra acting on the Hardy space of the bi-disc with applications to composition operators

GÜL, UĞUR; Koca, Beyaz

doi:10.1016/j.jmaa.2019.04.023

Fredholm criteria in a C*-algebra acting on the Hardy space of the bi-disc with applications to composition operators

Atıf İçin Kopyala

GÜL U., Koca B. B.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.477, sa.1, ss.163-173, 2019 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 477 Sayı: 1
Basım Tarihi: 2019
Doi Numarası: 10.1016/j.jmaa.2019.04.023
Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.163-173
Hacettepe Üniversitesi Adresli: Evet

Özet

In this work we give a Fredholm criteria for the operators in the C*-algebra generated by certain Toeplitz operators and Fourier multipliers acting on the Hardy space of the bidisc. With help of the obtained results we also completely characterize the essential spectra of quasi-parabolic composition operators on the Hardy spaces of the bi-disc. (C) 2019 Elsevier Inc. All rights reserved.