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Summary

Mathematician, distinguished former member of the Institute.

He activated at the Institute between 1968-1977, obtaining here the PhD title. Between 1977-2014? he activated at the Faculty of Mathematics and Computer Science, Babes-Bolyai University, where he was appointed professor since 1998.

He serves as a member of the Editorial Board of Journal of Numerical Analysis and Approximation Theory, edited at the Institute, under the auspices of the Romanian Academy.

Main fields of research: Functional Analysis, Mathematical Analysis.

He is a member of the Cluj Team on Numerical Analysis and Approximation Theory.


version of April 20, 2017.

CV

Born December 11, 1945, in Nadlac (Arad county), Romania.

1959-1963 “I. Slavici” Highschool, Arad.

1963-1968 – Faculty of Mathematics and Mechanics, Babes-Bolyai University, Cluj-Napoca.

1979 PhD thesis, at Babes-Bolyai University, Cluj-Napoca. Thesis title: Best approximation with restrictions. PhD advisors: acad. T. Popoviciu (till 1975) and then prof. Dimitrie D. Stancu.

1968-1977 researcher at “T. Popoviciu” Institute of Numerical Analysis

1977-1980 assistant, Faculty of Mathematics and Mechanics, Babes-Bolyai University, Cluj-Napoca.

1980-1990 teaching assistant.

1990-1998 assistant professor.

1998-2014? professor.

List of publications

Books

S. Cobzaş, Functional analysis in asymmetric normed spaces, Frontiers in Mathematics, Birkhäuser/Springer Basel AG, Basel, 2013.

Scientific papers

  • S. Cobzaş, Lipschitz properties of convex mappings, Advances in Operator Theory, 2 (2017) no. 1, 21-49.
  • S. Cobzaş, (with M. D. Mabula), Zabrejko’s lemma and the fundamental principles of functional analysis in the asymmetric case, Topology and its Applications 184 (2015), 1–15.
  • S. Cobzaş (with Fucai Lin, Chuan Liu, Shou Lin), Free Abelian paratopological groups over metric spaces,  Topology and its Applications  183  (2015), 90-109.
  • S. Cobzaş (with M.-D. Rus), Normal cones and Thompson metric, in Topics in Mathematical Analysis and Applications, Th. M. Rassias and L. Toth (eds), pp. 219-258, Springer Optimization and Its Applications, vol. 94, Springer 2014.
  • S. Cobzaş, Ekeland variational principle in asymmetric locally convex spaces, Topology and its Applications 159, no. 10-11 (2012), 2558-2569.
  • S. Cobzaş, Completeness in quasi-metric spaces and Ekeland variational principle, Topology and its Applications 158, no. 8, (2011), 1073-1084.
  • S. Cobzaş, A Mazur-Ulam theorem for probabilistic normed spaces, Aeq. Math. 77 (2009), 197-205.
  • S. Cobzaş, Compact and precompact sets in asymmetric locally convex spaces, Topology and its Applications 156 (2009), 1620-1629.
  • S. Cobzaş, Extension and separation in non-Archimedean analysis, in Topics in Mathematics, Computer Science and Philosophy, 57-71, Presa Univ. Clujeană, Cluj-Napoca, 2008.
  • S. Cobzaş, Completeness with respect to the probabilistic Pompeiu-Hausdorff metric, Studia. Univ. Babeş-Bolyai, Mathematica, 52, No. 3 (2007), 43-65. (pdf file here)
  • S. Cobzaş, Fixed point theorems in locally convex spaces – The Schauder mapping method, Fixed Point Theory and Applications, Volume 2006, Article ID 57950, p. 1-13. (pdf file here)
  • S. Cobzaş, Compact operators on spaces with asymmetric norm, Studia. Univ. Babeş-Bolyai, Mathematica, 51 (2006), No. 4, 69-87. (pdf file here)
  • S. Cobzaş, Geometric properties of Banach spaces and the existence of nearest and farthest points, Abstract Appl. Anal. 2005:3 (2005), 259-285. (pdf file here)
  • S. Cobzaş, Asymmetric locally convex spaces, Int. J. Math. Math. Sci. 2005:16 (2005), 2585-2608. (pdf file here)
  • S. Cobzaş, Separation of convex sets and best approximation in spaces with asymmetric norm, Quaestiones Mathematicae 27, no. 3 (2004), 275-296. (pdf file here)
  • S. Cobzaş and C. Mustăţa, Extension of bounded linear functionals and best approximation in spaces with asymmetric norm, Rev. Anal. Numer. Theor. Approx. 33, No. 1 (2004), 39-50. (pdf file here)
  • S. Cobzaş, Best approximation in random normed spaces, in Advances in Mathematics Research, Frank Columbus – Editor, Nova Science Publishers, Inc., Huntington, New York, 2003.
  • S. Cobzaş, Adjoints of Lipschitz mappings, Studia. Univ. Babeş-Bolyai, Mathematica, 48, No. 1 (2003), No. 1, 49-54. (pdf file here)
  • S. Cobzaş, Phelps type duality results in best approximation, Rev. Anal. Numer. Theor. Approx. 31, No. 1 (2002), 29-43.
  • S. Cobzaş, Some questions in the theory of Šerstnev random normed spaces, Bull. St. Univ. Baia Mare, Ser. Matematică, 18, No. 2 (2002), 177-186.
  • S. Cobzaş, Lipschitz properties for families of convex mappings, in Inequality Theory and Applications, Vol. 1, Y. J. Cho, J.K. Kim, S. S. Dragomir (Editors), Nova Science Publishers, Inc., Huntington, New York, 2001, pages 103-112. (pdf file here)
  • S. Cobzas, Compactness in spaces of Lipschitz functions, Rev. Anal. Numer. Theor. Approx. 30, No. 1 (2001), 9-14. (pdf file here)
  • S. Cobzaş, Antiproximinal sets in Banach spaces of continuous vector-valued functions, J. Math. Anal. Appl. 261, no. 2 (2001), 527-542. (pdf file here)
  • S. Cobzas, Generic existence of solutions for some perturbed optimization problems, J. Math. Anal. Appl. 243 (2000), 344-356. (pdf file here)
  • S. Cobzaş and I. Muntean, Superdense a.e. unbounded divergence in some approximation processes of analysis, Real Anal. Exch. 25 (1999/2000), 501-512. (pdf file here)
  • S. Cobzaş, Existence results for some optimization problems, in Banach spaces, In: Lupsa L., Ivan M. (eds.), Analysis, Functional Equations, Approximation and Convexity, Proceedings of the conference held in honour of Professor Elena Popoviciu on the occasion of her 75th birthday in Cluj-Napoca, October 15-16, 1999. Editura Carpatica, Cluj-Napoca, 1999, pages 39-44.
  • S. Cobzaş and C. Mustăţa, Extension of Lipschitz functions and best approximation, in Research on  the Theory of Allure, Approximation, Convexity and Optimization, Elena Popoviciu (Editor),  SRIMA Cluj-Napoca 1999, pp. 3-21. (pdf file here)
  • S. Cobzaş, Antiproximinal sets in Banach spaces, Acta Univ. Carolinae, Math. Phys. 40 (1999), 43-52. (pdf file here)
  • S. Cobzaş and C. Mustăţa, Extension of bilinear functionals and best approximation in 2-normed spaces, Studia Univ. Babeş-Bolyai, Mathematica 43 (1998), 1-13. (pdf file here)
  • S. Cobzaş, Support points and the convexity of sets in topological vector spaces, Anal. Univ. Timisoara, Seria Mate.-Info., 36, No. 2 (1998) 237-242. (pdf file here)
  • S. Cobzaş and C. Mustăţa, Extension of bilinear functionals and best approximation in 2-normed spaces, Studia Univ. Babeş-Bolyai, Mathematica 43, No. 2 (1998), 1-13.
  • S. Cobzaş, Antiproximinal sets in the Banach space C(ωk,X), Rev. Anal. Numer. Theor. Approx. 27 (1998), 47-58.
  • S. Cobzaş, Antiproximinal sets in the Banach space c(X), Comment. Math. Univ. Carolinae 38 (1997), 247-253. (pdf file here)
  • S. Cobzaş and I. Muntean, Triple condensation of singularities for some interpolation processes, in International Conference on Approximation and Optimization-ICAOR,  Cluj-Napoca, August 1996,  (a satellite conference of the European Congress of Mathematics, Budapest 1996),  D. D. Stancu et al. (editors), Transilvania Press, Cluj-Napoca 1997, pages 227-232. (pdf file here)
  • S. Cobzaş, Note on the paper of I. Muntean ” On the method of near equations”, Rev. Anal. Numer. Theor. Approx. 26 (1997), 29-32.
  • S. Cobzaş and I. Muntean, A superdensity theorem, Mathematica 39, No. 1 (1997), 37-44. (pdf file here)
  • S. Cobzaş and C. Mustăţa, Extension of bilinear operators and best approximation in 2-normed spaces, in Proceedings of the 6th Workshop of the DGOR-Working Group Multicriteria and Decision Theory, Halle, 1996, A. Goepfert et al (editors), Deutsche Hochschulschriften vol. 2398, Haensel-Hohenhausen, Frankfurt 1997, pages 19-29.
  • S. Cobzaş and C. Mustăţa, Extension of bilinear operators and best approximation in 2-normed spaces, Rev. Anal. Numer. Theor. Approx. 25 (1996), 63-75.
  • S. Cobzaş and C. Mustăţa, Selections associated to the metric projection, Rev. Anal. Numer. Theor. Approx. 24 (1995), 45-52.
  • S. Cobzaş, Best approximation in spaces of bounded vector-valued sequences, Rev. Anal. Numer. Theor. Approx. 23 (1994), 63-69.
  • S. Cobzaş, Double condensation of singularities for Walsh-Fourier series, Rev. Anal. Numer. Theor. Approx. 21 (1992), 119-129.
  • S. Cobzaş, Some remarks on the characterization of nearest points, Studia Univ. Babeş-Bolyai, Mathematica 35, No. 2, (1990), 54-55.
  • S. Cobzaş, On a theorem of V. N. Nikolski on the characterization of nearest points for convex sets, Rev. Anal. Numer. Theor. Approx. 19 (1990), 7-14.
  • S. Cobzaş, On the Schauder’s theorem on the compactness of the conjugate mapping, in Seminar on Mathematical Analysis, Babes-Bolyai University, Faculty of Mathematics, Research Seminars, Cluj-Napoca 1990, pages 83-86.
  • S. Cobzaş, Extreme points in Banach spaces of Lipschitz functions, Mathematica 31 (1989), 25-33. (pdf file here)
  • S. Cobzaş and I. Muntean, Duality relations and characterizations of best approximation for p-convex setsRev. Anal. Numer. Theor. Approx.  16 (1987), 95-108.
  • S. Cobzaş, Support functionals of the unit ball in Banach spaces of bounded functions, in  Seminar on Mathematical Analysis, Babes-Bolyai University, Faculty of Mathematics,   Research Seminars, Cluj-Napoca 1986, pages 85-90.
  • S. Cobzaş, On the starlikeness and convexity of holomorphic functions, in Seminar on Geometric Function Theory, Babes-Bolyai University, Faculty of Mathematics, Research Seminars, Cluj-Napoca 1986, pages 80-90.
  • S. Cobzaş, Lipschitz properties of convex functions, in Seminar on Mathematical Analysis, Babes-Bolyai University, Faculty of Mathematics, Research Seminars, Cluj-Napoca 1985, pages 77-84.
  • S. Cobzaş and I. Muntean, Condensation of singularities and divergence results in approximation theory,  J. Approx. Theory  31 (1981),  138-153. (pdf file here)
  • S. Cobzaş, Non-convex optimization problems on weakly compact subsets of Banach spaces, Rev. Anal. Numer. Theor. Approx.  9 (1980), 19-25.
  • S. Cobzaş, On the Lipschitz properties of continuous convex functions, Mathematica 21 (1979), 123-125.
  • S. Cobzaş and C. Mustăţa, Norm-preserving extension of convex Lipschitz functions, J. Approx. Theory 24 (1978), 236-244. (pdf file here)
  • S. Cobzaş, Antiproximinal sets in Banach spaces of c0-type, Rev. Anal. Numer. Theor. Approx. 7 (1978), 141-145.

Elaborated at ICTP:

  • S. Cobzas, Hahn decompositions of finitely additive measures, Arch. Math. (Basel) 27 (1976), 620-621.
  • S. Cobzaş, Antiproximinal sets in Banach spaces of continuous functions, Rev. Anal. Numer. Theor. Approx. 5  (1976), no. 2, 127–143.
  • S. Cobzaş and I. Muntean, Continuous and locally Lipschitz convex functions, Mathematica 18 (1976), 41-51.
  • S. Cobzaş, Convex antiproximinal sets in the spaces c0 and c, Matem. Zametki (Moskva) 17 (1975), 449-457 – pdf file here (translated in Mathematical Notes 17 (1975), 263- 268 – pdf file here).
  • S. Cobzaş, Antiproximinal sets in some Banach spaces, Math. Balkanica 4 (1974), 79-82. (pdf file here)
  • S. Cobzaş, Teoreme de separație pentru mulțimi convexe în spații local convexe nearhimediene, Rev. Anal. Numer. Teoria Aproximaţiei 3 (1974), 137-141. (English translation here)
  • S. Cobzaş, Mulţimi foarte neproximinale în c0, Rev. Anal. Numer. Teoria Aproximaţiei, 2 (1973), 137-141. (English translation here)

Books published in Romanian publishing houses

  • S. Cobzaş, Analiza Matematică – Calculul Diferenţial, Presa Universitară Clujeană, Cluj-Napoca 1997, 478 p.

Books as editor

  • S. Cobzaş (Editor), Topics in Mathematics, Computer Science and Philosophy, Professor Wolfgang W. Breckner at his 65th anniversary, Presa Univ. Clujeană, Cluj-Napoca, 2008.

Teaching books/manuals

  • Cobzaş, D. Andrica si M. Diaconescu, Culegere de probleme de algebră liniară. Fascicola 3: Spaţii Euclideene, Litografiat, Universitatea Babeş-Bolyai,  Facultatea de Matematică, Cluj-Napoca 1986, 148 p.

Other articles

  • S. Cobzaş,  Extreme values of the second degree polynomial functions of n variables, Gazeta Matematică, Seria A, 21, no. 3 (2003), 192-196.
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