Algebras of approximation sequences: Fredholm theory in fractal algebras

• Autorzy: Steffen Roch
• Języki publikacji: EN

Abstrakty

EN

The present paper is a continuation of [5, 7] where a Fredholm theory for approximation sequences is proposed and some of its properties and consequences are studied. Here this theory is specified to the class of fractal approximation methods. The main result is a formula for the so-called α-number of an approximation sequence (Aₙ) which is the analogue of the kernel dimension of a Fredholm operator.

Kategorie tematyczne

• 65R20: Integral equations
• 46N40: Applications in numerical analysis

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2002
• Tom: 150
• Numer: 1
• Strony: 53-77

Daty

wydano

2002

Twórcy

autor

Steffen Roch

• Fachbereich Mathematik, Technische Universität Darmstadt, Schlossgartenstrasse 7, 64289 Darmstadt, Germany

Identyfikatory

DOI

10.4064/sm150-1-5