Fredholmness of Toeplitz Operators on the Fock Space

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Robert Fulsche
  • Raffael Hagger

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OriginalspracheEnglisch
Seiten (von - bis)375-403
Seitenumfang29
FachzeitschriftComplex Analysis and Operator Theory
Jahrgang13
Ausgabenummer2
Frühes Online-Datum19 Mai 2018
PublikationsstatusVeröffentlicht - 13 März 2019

Abstract

The Fredholm property of Toeplitz operators on the p-Fock spaces Fαp on C n is studied. A general Fredholm criterion for arbitrary operators from the Toeplitz algebra T p , α on Fαp in terms of the invertibility of limit operators is derived. This paper is based on previous work, which establishes corresponding results on the unit balls B n (Hagger in Integr Equ Oper Theory 89(4):519–556, 2017).

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Fredholmness of Toeplitz Operators on the Fock Space. / Fulsche, Robert; Hagger, Raffael.
in: Complex Analysis and Operator Theory, Jahrgang 13, Nr. 2, 13.03.2019, S. 375-403.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Fulsche R, Hagger R. Fredholmness of Toeplitz Operators on the Fock Space. Complex Analysis and Operator Theory. 2019 Mär 13;13(2):375-403. Epub 2018 Mai 19. doi: 10.48550/arXiv.1709.01457, 10.1007/s11785-018-0803-8
Fulsche, Robert ; Hagger, Raffael. / Fredholmness of Toeplitz Operators on the Fock Space. in: Complex Analysis and Operator Theory. 2019 ; Jahrgang 13, Nr. 2. S. 375-403.
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