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

In: Israel Gohberg and Friends

Author

Listed:
  • Bernd Silbermann

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.

Suggested Citation

  • Bernd Silbermann, 2008. "The First Visits of Israel Gohberg to Karl-Marx-Stadt (Chemnitz)," Springer Books, in: Harm Bart & Thomas Hempfling & Marinus A. Kaashoek (ed.), Israel Gohberg and Friends, pages 317-318, Springer.
    • Handle: RePEc:spr:sprchp:978-3-7643-8734-1_50
    DOI: 10.1007/978-3-7643-8734-1_50
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