Geodesic
Algebras of approximation sequences: Fredholm theory in fractal algebras
Steffen Roch 1
1 Fachbereich Mathematik Technische Universität Darmstadt Schlossgartenstrasse 7 64289 Darmstadt, Germany
Studia Mathematica, Tome 150 (2002) no. 1, pp. 53-77 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $\alpha $-number of an approximation sequence $(A_n)$ which is the analogue of the kernel dimension of a Fredholm operator.
DOI : 10.4064/sm150-1-5
Keywords: present paper continuation where fredholm theory approximation sequences proposed its properties consequences studied here theory specified class fractal approximation methods main result formula so called alpha number approximation sequence which analogue kernel dimension fredholm operator

Steffen Roch  1

1 Fachbereich Mathematik Technische Universität Darmstadt Schlossgartenstrasse 7 64289 Darmstadt, Germany 
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Steffen Roch. Algebras of approximation sequences:
Fredholm theory in fractal algebras. Studia Mathematica, Tome 150 (2002) no. 1, pp. 53-77. doi: 10.4064/sm150-1-5

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