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Banach Algebras Generated by Two Idempotents and One Flip

โœ Scribed by T. Finck; Steffen Roch; Bernd Silbermann


Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
252 KB
Volume
216
Category
Article
ISSN
0025-584X

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## Abstract A logarithmic residue is a contour integral of the (left or right) logarithmic derivative of an analytic Banach algebra valued function. Logarithmic residues are intimately related to sums of idempotents. The present paper is concerned with logarithmic residues in a specific Banach alge

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Let M(clR") be a smooth compact manifold. Recall (see, for instance, [3, 61) that a bounded linear operator S in L,(M) is called an abstract singular operator if the following conditions (axioms) hold: 1. the operator S2 -I is compact (and the operators S f Z are noncompact); 2. the operator S\* -S