Otto Toeplitz
| Otto Toeplitz | |
|---|---|
Otto Toeplitz
|
|
| Born |
August 1, 1881 Breslau |
| Died | February 15, 1940 (aged 58) Jerusalem |
| Fields | Mathematics |
| Doctoral advisor |
Jakob Rosanes Friedrich Otto Rudolf Sturm |
| Doctoral students |
Hans Schwerdtfeger Helmut Ulm |
| Known for |
Hellinger–Toeplitz theorem Silverman–Toeplitz theorem Toeplitz matrix |
Otto Toeplitz (1 August 1881 – 15 February 1940) was a German Jewish mathematician working in functional analysis.
Toeplitz's father and grandfather were mathematics teachers. Toeplitz studied mathematics in the University of Breslau and was awarded a doctorate in algebraic geometry in 1905. In 1906 Toeplitz arrived to Göttingen University, which was then the world's leading mathematical center, and he remained there for seven years. Mathematics faculty included David Hilbert, Felix Klein, and Hermann Minkowski. Toeplitz joined a group of young people working with Hilbert: Max Born, Richard Courant and Ernst Hellinger, with whom he collaborated for many years afterward. At that time Toeplitz began to rework the theory of linear functionals and quadratic forms on n-dimensional spaces for infinite dimensional spaces. He wrote five papers directly related to spectral theory of operators which Hilbert was developing. During this period he also published a paper on summation processes and discovered the basic ideas of what are now called the Toeplitz operators. In 1913 Toeplitz became an extraordinary professor at the University of Kiel. He was promoted to a professor in 1920.
In 1911, Toeplitz proposed the inscribed square problem:
This has been established for convex curves and smooth curves, but the question remains open in general (2007).
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