Themistocles_M._Rassias

Themistocles M. Rassias

Themistocles M. Rassias

Greek mathematician


Themistocles M. Rassias (Greek: Θεμιστοκλής Μ. Ρασσιάς; born April 2, 1951) is a Greek mathematician, and a professor at the National Technical University of Athens (Εθνικό Μετσόβιο Πολυτεχνείο), Greece. He has published more than 300 papers, 10 research books and 45 edited volumes in research Mathematics as well as 4 textbooks in Mathematics (in Greek) for university students. His research work has received more than 19,000 citations according to Google Scholar[5] and more than 5,800 citations according to MathSciNet.[6] His h-index is 49. He serves as a member of the Editorial Board of several international mathematical journals.

Quick Facts Born, Nationality ...

Education

He received his Ph.D. in Mathematics from the University of California at Berkeley in June 1976. Professor Stephen Smale and Professor Shiing-Shen Chern have been his thesis and academic advisors, respectively.

Research

His work extends over several fields of Mathematical Analysis. It includes Nonlinear Functional Analysis, Functional Equations, Approximation Theory, Analysis on Manifolds, Calculus of Variations, Inequalities, Metric Geometry and their Applications.

He has contributed a number of results in the stability of minimal submanifolds, in the solution of Ulam's Problem for approximate homomorphisms in Banach spaces, in the theory of isometric mappings in metric spaces and in Complex analysis (Poincaré's inequality and harmonic mappings).

Terminology

(i) Hyers–Ulam–Rassias stability of functional equations.

(ii) The Aleksandrov–Rassias problem[3] for isometric mappings.[7]

Awards and honors

He has received a number of honors and awards including:

Works

  • Th. M. Rassias, On the stability of the linear mapping in Banach spaces, Proceedings of the American Mathematical Society 72(1978), 297-300. [Translated in Chinese and published in: Mathematical Advance in Translation, Chinese Academy of Sciences 4 (2009), 382-384.]
  • Th. M. Rassias, New characterizations of inner product spaces, Bulletin des Sciences Mathematiques, 108 (1984), 95-99.
  • Th. M. Rassias, On the stability of functional equations and a problem of Ulam, Acta Applicandae Mathematicae 62(1) (2000), 23-130.
  • Th. M. Rassias, Major trends in Mathematics, Newsletter European Math. Soc. 62 (2006), 13-14. Translated in Chinese and published in:Mathematical Advance in Translation, Chinese Academy of Sciences 2 (2008), 172-174.
  • Th. M. Rassias and J. Brzdek, Functional Equations in Mathematical Analysis, Springer, New York, 2012.
  • Th. M. Rassias and J. Simsa, Finite Sums Decompositions in Mathematical Analysis, John Wiley & Sons Ltd. (Wiley-Interscience Series in Pure and Applied Mathematics), Chichester, New York, Brisbane, Toronto, Singapore, 1995.

Notes

  1. Jung, Soon-Mo (2011). Hyers–Ulam–Rassias Stability of Functional Equations in Nonlinear Analysis. New York, USA: Springer. p. 377. ISBN 978-1-4419-9636-7.
  2. Jung, Soon-Mo (2011). Hyers-Ulam-Rassias stability. Springer Optimization and its Applications. Vol. 48. doi:10.1007/978-1-4419-9637-4. ISBN 978-1-4419-9636-7.
  3. "University of Nis". Archived from the original on 2013-12-03. Retrieved 2010-12-15.

References

Further reading

  • Hyers-Ulam-Rassias stability, in: Encyclopaedia of Mathematics, Supplement III Hazewinkel, M. (ed.), Kluwer (2001) ISBN 1-4020-0198-3, pp. 194–196.
  • Ulam-Hyers-Rassias Stability of Functional Equations, in: S. Czerwik, Functional Equations and Inequalities in Several Variables (Part II, pp. 129–260).

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