The First Visits of Israel Gohberg to Karl-Marx-Stadt (Chemnitz)

Bernd Silbermann

A chapter in Israel Gohberg and Friends, 2008, pp 317-318 from Springer

Abstract: Abstract After getting the diploma from Lomonosov University Moscow in 1967, I went to Siegfried Prößdorf who was at that time an associate professor at the Technische Hochschule Karl-Marx-Stadt (Chemnitz was renamed from 1953 until 1990 as Karl-Marx-Stadt). Siegfried Prößdorf was interested in so-called degenerate onedimensional singular integral operators with continuous coefficients. The degeneracy means here that the symbol of the operator vanishes at a finite number of points. Such an operator is Fredholm if and only if its symbol is invertible. The necessity of this claim was proved by Israel Gohberg in a remarkable paper from 1952 using Banach algebra techniques. Because Siegfried Prößdorf proposed to me a problem concerning degenerate operators, I came across Israel's paper in the very beginning of my career, and it showed me that Banach algebra techniques proved to be a powerful tool in operator theory. So Israel Gohberg entered into my life and he stayed there until now.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-7643-8734-1_50

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DOI: 10.1007/978-3-7643-8734-1_50

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