Fredholmness and index of operators in the Wiener algebra are independent of the underlying space

Link:
Autor/in:
Verlag/Körperschaft:
Hamburg University of Technology
Erscheinungsjahr:
2008
Medientyp:
Text
Schlagworte:
  • Fredholm operator
  • Fredholm index
  • Wiener algebra
  • operators on ℓp spaces
  • 510: Mathematik
Beschreibung:
  • The purpose of this paper is to demonstrate the so-called Fredholm-inverse closedness of the Wiener algebra W and to deduce independence of the Fredholm property and index of the underlying space. More precisely, we look at operators A ∈ W as acting on a family of vector valued p spaces and show that the Fredholm regularizer of A for one of these spaces can always be chosen in W as well and therefore regularizes A (modulo compact operators) on all of the p spaces under consideration. We conclude that both Fredholmness and the index of A do not depend on the p space that A is considered as acting on.
Beziehungen:
DOI 10.7153/oam-02-18
Quellsystem:
TUHH Open Research

Interne Metadaten
Quelldatensatz
oai:tore.tuhh.de:11420/10576