Bernd Silbermann

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Bernd Silbermann (born April 6, 1941 in Langhennersdorf ) is a German mathematician who deals with functional analysis .

Life

Silbermann studied at the Lomonossow University in Moscow (diploma in 1967) and obtained his doctorate in 1971 at the TH Karl-Marx-Stadt under Siegfried Prößdorf on the subject of some questions on the theory of singular integral operators of non-normal types . In 1974 another doctorate followed ( singular integral operators of the abnormal type with discontinuous coefficients ), corresponding to a West German habilitation (formally made up in 1991). From 1967 he was a lecturer in Chemnitz, from 1976 professor. In 2006 he retired in Chemnitz.

Silbermann dealt with operator algebras, integral operators, spectral theory, functions of operators and especially with Toeplitz operators and Toeplitz matrices , on which he wrote a standard work with Albrecht Böttcher .

His PhD students include Professors Steffen Roch (TU Darmstadt) and Peter Junghanns (Chemnitz).

Fonts

  • with Albrecht Böttcher: Analysis of Toeplitz Operators , Springer, 1990 (and Akademie Verlag 1989), 2nd edition 2006
  • with Albrecht Böttcher: Inversibility and Asymptotics of Toeplitz Matrices , Akademie Verlag 1983
  • with Böttcher: Introduction to large truncated Toeplitz Matrices , Springer 1999
  • with Roland Hagen, Steffen Roch: C * -Algebras and Numerical Analysis , Dekker 2001
  • with Hagen, Roch: Spectral theory of approximation methods for convolution equations , Birkhäuser 1995
  • with Wladimir Rabinowitsch, Steffen Roch: Limit Operators and their application in Operator Theory , Birkhäuser 2004
  • with Siegfried Prößdorf: Numerical Analysis for Integral and related Operator Equations , Akademie Verlag 1991
  • with Prößdorf: Projection method and the approximate solution of singular equations , Teubner Texte zur Mathematik, 1977

literature

  • Albrecht Böttcher, Israel Gohberg , Peter Junghanns (editor): Toeplitz Matrices and their singular integral equations - The Bernd Silbermann Anniversary Volume , Birkhäuser 2002

Web links

Individual evidence

  1. Bernd Silbermann in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used