Fredholmness of Toeplitz Operators on the Fock Space

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Robert Fulsche
  • Raffael Hagger

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Details

Original languageEnglish
Pages (from-to)375-403
Number of pages29
JournalComplex Analysis and Operator Theory
Volume13
Issue number2
Early online date19 May 2018
Publication statusPublished - 13 Mar 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).

Keywords

    Essential spectrum, Fock spaces, Limit operators, Toeplitz operators

ASJC Scopus subject areas

Cite this

Fredholmness of Toeplitz Operators on the Fock Space. / Fulsche, Robert; Hagger, Raffael.
In: Complex Analysis and Operator Theory, Vol. 13, No. 2, 13.03.2019, p. 375-403.

Research output: Contribution to journal › Article › Research › peer review

Fulsche R, Hagger R. Fredholmness of Toeplitz Operators on the Fock Space. Complex Analysis and Operator Theory. 2019 Mar 13;13(2):375-403. Epub 2018 May 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 ; Vol. 13, No. 2. pp. 375-403.
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