Algebras of approximation sequences: Fredholm theory in fractal algebras

Steffen Roch

Studia Mathematica (2002)

  • Volume: 150, Issue: 1, page 53-77
  • ISSN: 0039-3223

Abstract

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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 α-number of an approximation sequence (Aₙ) which is the analogue of the kernel dimension of a Fredholm operator.

How to cite

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Steffen Roch. "Algebras of approximation sequences: Fredholm theory in fractal algebras." Studia Mathematica 150.1 (2002): 53-77. <http://eudml.org/doc/285095>.

@article{SteffenRoch2002,
abstract = {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.},
author = {Steffen Roch},
journal = {Studia Mathematica},
keywords = {Fredholm theory; fractal algebra; compact sequences},
language = {eng},
number = {1},
pages = {53-77},
title = {Algebras of approximation sequences: Fredholm theory in fractal algebras},
url = {http://eudml.org/doc/285095},
volume = {150},
year = {2002},
}

TY - JOUR
AU - Steffen Roch
TI - Algebras of approximation sequences: Fredholm theory in fractal algebras
JO - Studia Mathematica
PY - 2002
VL - 150
IS - 1
SP - 53
EP - 77
AB - 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.
LA - eng
KW - Fredholm theory; fractal algebra; compact sequences
UR - http://eudml.org/doc/285095
ER -

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