I have deeply regretted that I did not proceed far enough to at least understand something of the great leading principles of mathematics; for men thus endowed seem to have an extra sense -- Charles Darwin (1809 - 1882) “Recollections of Development of my Mind and Character”
A. G. Aksoy, On a theorem of Terzioglu, in progress.
A. G. Aksoy, Q. Peng, On a theorem of S. N. Bernstein for Banach spaces, submitted, arXiv:1605.04592.
A. G. Aksoy, M. Al-Ansari, Q. Peng, Representation theorems for R-trees, submitted, arXiv:1601.03108.
A. G. Aksoy, E. Cumberbatch, Uncovering GEMS of Mathematics, accepted.
A. G. Aksoy, M. Al-Ansari, C. Case*, Q. Peng, Subspace condition for Bernstein's lethargy theorem, accepted, arXiv:1606.07977. (* denotes undergraduate author)
Papers
A. G. Aksoy, Al-Khwarizm? and the Hermeneutic Circle: Reflections on a Trip to Samarkand, Journal of Humanistic Mathematics, 6(2), pp. 114–127, 2016, DOI: 10.5642/jhummath.201602.09.
Bernstein's Lethargy Theorem for Frechet Spaces (joint with G. Lewicki) [pdf]
Chracterization Conditions and the Numerical Index (joint with G. Lewicki), submitted for publication [pdf]
Finite Ball Intersection Property of the Urysohn's Universal Space (joint with Z. Ibragimov), submitted for publication [pdf]
Minimal Projections with Respect to Numerical Radius (joint with G. Lewicki), will appear in Proceedings of the Positivity VII Conference, Birkhauser [pdf]
On Montel and Montel Popoviciu Theorems in Sevearal Variables (joint with J. Almira), will appear in Aequationes Mathematicae [pdf]
The apple doesn't fall far from the (metric) tree: Equivalence of Definitions (joint with S. Jin), Poceedings of the First Conference, Classical and Functional Analysis, Azuga-Romania, (2014), 25-36 [pdf]
On approximation schemes and compactness (joint with J. Almira), Poceedings of the First Conference, Classical and Functional Analysis, Azuga-Romania, (2014), 5-24[pdf]
On Shapiro's Lethargy theorem and some applications (joint with J. Almira), Jean. J. Approx. 6(1) (2014), 87-116 [pdf]
Limit Theorems for Numerical Index (joint with G. Lewicki), J. Math. Annal. Appl. 398 (2013), No.1, 296-302 [pdf]
From Urysohn's Universal Metric Space to a Universal Space-Time (joint with Z. Glassman, O. Kosheleva, V. Kreinvich), Mathematical Strutures and Modeling, Vol 28, No. 2, (2013), 28-34 [pdf]
A. Aksoy, G. Lewicki, "Minimal projections with respect to various norms," Studia Math., 210, 1-16, (2012) [pdf]
A. Aksoy, G. Lewick, "Best Approximation in Numerical radius," Numerical Functional Analysis and Optimizatin, 32 (6); 593-609, 2011. [pdf]
A. Aksoy, K. Kinneberg, "Compact n-Widths" Function spaces IX, 15-25, Banach Center Publ. 92, (2011) [pdf]
A. Aksoy, T. Oikhberg, "Some Results in Metric Trees," Banach Center Publications, Volume 91, pages 9-34, 2010. [pdf]
A. Aksoy, B. Maurizi, “Metric trees, hyperconvex hulls and extensions,” Turkish J. Math., 32, (2008), no.2, 219-234 [pdf] [MR]
A. Aksoy, M. S. Borman and A. L. Westfahl, “Compactness and measures of noncompactness in metric trees,” Proc. of the International. S On Banach and Function Spaces II, Kitakyushu, Japan, (2007) 1-16. [pdf] [MR]
A. Aksoy, M. Ed-Dari, M.A.Khamsi, “On numerical index of vector-valued function spaces,” Linear and Multilinear Algebra. 55 (2007), no. 6, 507-513. [pdf] [MR]
A. Aksoy, B. L. Chalmers, “Minimal Extension and the Numerical Range,” Proc. of Amer. Math. Soc.135 (2007), No. 4, 1039-1050. [pdf] [MR]
A. Aksoy, M. A. Khamsi, “Fixed Points of Uniformly Lipschitzian Mappings in Metric Trees,” Sci. Math. Jpn. Vol. 65, (2007), No.1, 31-41. [pdf] [MR]
A. Aksoy, M. A. Khamsi, “A selection theorem in metric trees” Proc. of Amer .Math. Soc. 134 (2006) No. 4, 2957-2966. [pdf] [MR]
A. Aksoy, H. O. Tylii, “Interpolation of the Essential Spectrum” Orlicz Centenary Volume II, Banach Center Publ, 68, Polish Acad. Sci., Warsaw, 2005, 9-18. [pdf] [MR]
A. Aksoy, M. Martelli, “Wave Equation, Mixed Partial Derivatives and Fubini’s Theorem” the American Mathematical Monthly, Vol. 111, 2004, N.4, 2004. [pdf] [MR]
A. Aksoy, M. Martelli: “Mixed Partial Derivatives and Fubini’s Theorem,” College Mathematics Journal of MAA, Vol.33, 2002, pages 126-130. [pdf] [MR]
A. Aksoy, M. Martelli, “Global Convergence for Discrete Dynamical Systems and Forward Neural Networks,” Turkish Journal of Mathematics, Vol. 25, 2001, pages 345-354. [pdf] [MR]
A. Aksoy, G. Lewicki, “Diagonal Operators, s-numbers, and Bernstein Pairs” Note di Matematica, Vol. 17, 1997, pages 1-10. [pdf] [MR]
A. Aksoy, G. Lewicki, “Modular Spaces and K-Widths,” Functional Analysis: (Eds.Dierolf/Dinen/Domvnski), Walter de Gruyter Publishing, Berlin, 1996, pages 1-10. [pdf] [MR]
A. Aksoy, “s-numbers, Measure and Weak Measure of Noncompactness and Real Interpolation,” Bulletin of Allahabad Math. Soc., Vol. 8-9, 1997, 15-35. [pdf] [MR]
A. Aksoy, L. Maligranda, “Real Interpolation and Measures of Weak-noncompactness,” Mathematische Nachrichten, Vol. 175, 1995, pages 5-12. [pdf] [MR]
A. Aksoy, L. Maligranda, “Lipscitz-Orlicz Spaces and the Laplace Equation,” Mathematische Nachrichten, Vol.178, 1996, pages 81-101. [pdf] [MR]
A. Aksoy, J. B. Baillon, “Measures of non compactness in Orlicz Modular Spaces,” Collect. Math. Vol.44, 1993, pages 1-11. [pdf] [MR]
A. Aksoy, “A Generalization of n-widths, ”Approximation Theory, Spline Functions and Applications," Kluwer Academic Publishers, NATO-ASI Series. 1992, pages 269-278. [pdf] [MR]
A. Aksoy, “Q-compact Sets and Q-compact Maps,” Mathematica Japonica, Vol.36, No. 1, 1991, pages 1-7. [pdf] [MR]
A. Aksoy, “Intermediate Spaces,” Turkish Journal of Mathematics, Vol. 13. No.3, 1989, pages 79-90. [pdf] [MR]
A. Aksoy, “The Radius of The Essential Spectrum,” Journal of Mathematical Analysis and Applications, Vol. 128, No. 1, 1987, pages 101-107. [pdf] [MR]
A. Aksoy and M. Nakamura, “The Approximation Numbers an(T) and Q-precompactness,” Mathematica Japonica, Vol. 13 1, No. 6, 1986, pages 827-840. [pdf] [MR]
Topics in Functional Analysis and Algebra, American Mathematical Society, 2016 [Amazon]
A problem Book In Real Analysis (with M.A. Khamsi) Springer Verlag, 2009 [Library][Springer] [BN] [Amazon]
Nonstandard Methods in Fixed Point Theory (with M.A. Khamsi), Springer-Verlag, Universitext Series, 1990 [Library][Amazon] [MR]
Recent Grant
Fletcher Jones Fellowships in Mathematics in the CCMS (for undergraduate-graduate research)
> more on CCMS (Claremont Center for the Mathematical Sciences)
Mathematical Reviews Written
(requires access to MathSciNet)
Seminars and Colloquia
Southern California Functional Analysis Seminars: Abstracts and Info [pdf]
>> more on CCMS
CCMS Analysis Seminar:
- Elizabeth Strouse, Truncated Toeplitz operators as a model? Mar. 5, 2012 [pdf]
- Lenny Fukshansky, On zeta-function of well-rounded lattices in the plane, Feb. 27, 2012 [pdf]
- Ami Radunskaya, Stochastic Horseshoes, Feb. 20, 2012 [pdf]
-
F. Ghahramani, Approximate identities in approximate amenability, Feb. 13, 2012 [pdf]
- H.M. Mhaskar, Learning functions on data defined on manifolds, Feb. 8, 2012 [pdf]
- Garth Dales, Injectivity of the modules L^p(G), Jan. 17, 2012 [pdf]
- Zair Ibragimov , Hperbolization of Hyperspaces, Jan. 23, 2012 [pdf]
- Katsuo Matsuoka, Some new function spaces, Jan. 2012 [pdf]
- Winston Ou, Scripps College, Sept. 30, 2011 [pdf]
- Asuman Aksoy, Claremont McKenna College, October 14, 2011 [pdf]
- Marta Asaeda, University of California at Riverside, October 28, 2011 [pdf]
- Michael O’Neil,Claremont McKenna College, November 18, 2011 [pdf]
SCFA Seminar:
- Herbert Heyer from University of Tubingen and Daniel Wulbert from UCSD, November 12, 11 [pdf]
