Ivan Singer

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Ivan Singer (born November 14, 1929 in Arad (Romania) ) is a Romanian mathematician who deals with functional analysis . He is at the Mathematical Institute of the Romanian Academy of Sciences in Bucharest (Simon Stoilow Institute).

He wrote a standard work on bases in Banach spaces , with which he has been concerned since 1954. He also wrote a monograph on best approximation in normalized vector spaces by sub-vector spaces.

In addition to functional analysis, he dealt with optimization, convex and discrete geometry and operations research .

He is a member of the Romanian Academy of Sciences (corresponding since 1992, full since 2009).

Singer was visiting professor at University College in Swansea, Florida State University, Pennsylvania State University, the University of Iowa and Ohio State University, among others.

Fonts

  • Bases in Banach Spaces, 2 volumes, Grundlehren der Mathematischen Wissenschaften , Springer, 1970, 1981
  • Best approximation in normed linear spaces by elements of linear subspaces, Grundlehren Math. Wissenschaften 171, Springer 1970 (Romanian edition 1967)
  • The theory of best approximation and functional analysis, CBMS Reg. Confer. Series in Applied Math. 13, Society for Industrial and Applied Mathematics, Philadelphia, 1974
  • Abstract convex analysis. Wiley-Interscience, New York, 1997
  • Duality for nonconvex approximation and optimization. Springer, New York, 2006,

Web links

Individual evidence

  1. ^ Albrecht Pietsch, History of Banach Spaces and Linear Operators, Birkhäuser 2007, p. 628
  2. ^ Foreword to his book Bases in Banach Spaces , 1969