Assoc. Prof. Dr. Nazife Erkurşun Özcan


Contact Information
E-mail: erkursun.ozcan@hacettepe.edu.tr, nazife.erkursun@gmail.com

Phone: +90 312 297 7850 / 135 , +90 312 780 7837

Fax: +90 0312 299 2017

Postal Address: Hacettepe University, Faculty of Science, Department of Mathematics, 06800 Beytepe - Ankara, TURKEY

Office: 231


Research Interests


Publications
  1. Erkursun Ozcan, N.; Mukhamedov F., Spectral conditions for uniform-P-ergodicities of Markov operators on abstract states spaces, online, Glasgow Math. J.:

  2. Erkursun Ozcan, N.; Mukhamedov F., Stability estimates of Markov semigroups on abstract state spaces, Mediterrean J. Math., 17 (2020), no.2, Art. 44

  3. Aydın, A., Emelyanov, E., Erkursun Ozcan, N., Marabeh, M.A.A., Unbounded p- convergence in Lattice-Normed Vector Lattices, Siberian Adv. in Math, 29 (2019), no.3, 164-182

  4. Erkursun Ozcan, N., Gezer N. A., Unbounded Asymptotic Equivalences of Operator Nets with Applications, Positivity, 23 (2019), no.4, 829--851

  5. Erkursun Ozcan, N., Gezer N. A., Zabeti O., Unbounded Absolutely Weak Dunford-Pettis Operators, Turkish Journal of Math, 43 (2019), no.6, 2731--2740

  6. Erkursun Ozcan, N., Gezer N. A., Zabeti O., Spaces of utau-Dunford-Pettis and utau-Compact Operators on Locally Solid Vector Lattices, Matematicki Vesnik, 71 (2019), no.4, 351--358

  7. Erkurşun Özcan, Nazife; Mukhamedov, Farrukh; Uniform ergodicity of Lotz-Räbiger nets of Markov operators on abstract state spaces. Results Math. 73 (2018), no. 1, Art. 35, 15

  8. Emel’yanov, E. Yu.; Erkursun, N., Gorokhova S., Komlos Properties in Banach Spaces , Acta Math. Hungar. 155 (2018), no.2, 324—331.

  9. Erkursun Ozcan, N., Mukhamedov, F., Uniform ergodicities and perturbation bounds of Markov chains on base norm spaces Quaestiones Mathematicae, Vol. 41 (2018) no. 6, 863—876.

  10. Erkursun Ozcan, N., Asymptotic behavior of operator sequences on KB-spaces, Positivity, 22, (2018), no. 3, 803—814.

  11. Aydın, A.; Emelyanov, E. Yu.; Erkurşun Özcan, N.; Marabeh, M. A. A. Compact-like operators in lattice-normed spaces. Indag. Math. (N.S.) 29 (2018), no. 2, 633–656.

  12. Erkursun Ozcan, N., Operator nets on the predual of von Neumann algebras, Studia Scientiarum Mathematicarum Hungarica, 55, (2018), no.4, 479–486

  13. Erkursun Ozcan, N., Stability and lower-bound function on KB-spaces, Communications, Series A1: Mathematics and Statistics, 67, (2018), no: 1, 242 -- 247, DOI: 10.1501/Commua1_0000000846

  14. Erkursun Ozcan, N.; Mukhamedov F., Uniform ergodicities and perturbation bounds of Markov chains on ordered Banach spaces, IOP Conf. Series: Journal of Physics: Conf. Series 819, no.1 (2017), 012015

  15. Erkursun, N., Quasi-compactness and Uniform Convergence of Markov Operator Nets on KB-spaces, Ordered Structures and Applications: Positivity VII Trends in Mathematics, (2016), 171–178.

  16. Emel’yanov, E. Yu.; Erkursun, N., Asymptotically absorbing nets of positive operators, Siberian Adv. in Math., 22, (2012), no.4, 243 – 260.

  17. Bartoszek W.; Erkursun N., On Quasi Compact Markov Nets, Ergodic Theory Dynam. Systems, 31, (2011), no. 4, 1081 – 1094.

  18. Emel’yanov, E. Yu.; Erkursun, N., Lotz-Raebiger’s nets of Markov operators in L1-spaces, J. Math. Anal. Appl., 371, (2010), no. 2, 777 – 783.

  19. Emel’yanov, E. Yu.; Erkursun, N., An extension of Sine’s counterexample, Positivity 13, (2009), no. 1, 125 – 127.

  20. Emel’yanov, E. Yu.; Erkursun, N., Generalization of Eberlein’s and Sine’s ergodic theorems to LR-nets, Vladikavkaz. Mat. Zh., 9, (2007), no.322 – 326

  21. Erkursun Ozcan, N., Geyikçi, İ.M., Gezer, N.A., Özdemir, Ş.E., Order Compact and Unbounded Order Compact Operators (submitted)

  22. Erkursun Ozcan, N., Gezer N. A., On some aspects of pseudonorm compact and Montel operators on locally solid vector lattices (submitted)



Projects
  1. TÜBİTAK 1002, Sınırsız Kompakt ve Sınırsız Montel Operatörlerin İncelenmesi - Director

  2. TÜBİTAK 2209, Miyadera Perturbasyonu - Advisor

  3. TÜBİTAK 2209, Quasi-compact Operators - Advisor

  4. Scientific Research Projects Coordination Unit, Hacettepe University, 832 014 D12 601 005-83 - Director

  5. Scientific Research Projects Coordination Unit, Hacettepe University, 8FDS-2015-8172 - Director,

  6. 12th Tulka Internet Seminar, Ergodic Theory Project 3, to be held in Blaubeuren, Germany, 2009.



Research Visits
  1. Visiting Professor May 2015, 1 Week, International Islamic University Malaysia,

  2. Postdoctoral Researcher March 2011- July 2013, AG Funktionalanalysis, University of Tübingen

  3. Visiting Assistant March 2009 – July 2009, Institute of Applied Analysis, University of Ulm

  4. Visiting Assistant October 2008 – February 2009, Applied Physics and Mathematics, Gdansk University of Technology



Graduate Students
  1. Niyazi Anıl Gezer, Operatör teorisinde sınırsız yakınsama tabancı birtakım sonuçlar, Ph.D. cont.

  2. Şaziye Ece Özdemir, Riesz uzayları üzerinde tanımlı sıra kompakt ve sınırsız sıra kompakt operatörler , MSc. cont.

  3. Fatma Özbay, Sıralı Banach uzaylatı üzerinde tanımlı homojen Markov zincirlerinin Cesarı ortalamalarının pertürbasyon sınırları , MSc. 2017.



Conferences
    Presentations at International Conferences:
  1. ICOM-2019, Unbounded Pseudonorm Convergence on Vector Lattices, İstanbul, Turkey, 2019.

  2. ICOM-2019, p-Martingales on Lattice Normed Vector Lattices , İstanbul, Turkey, 2019.

  3. ICM 2018, Perturbation bounds of Cesaro averages of homogeneous Markov processes on base norm spaces, Rio de Janeiro, Brasil, 2018

  4. WM^2,Unbounded compactness in Locally Solid Vector Lattices, (Poster), Rio de Janeiro, Brasil, 2018

  5. 12th AIMS Conference on Dynamical Systems, Dif. Equ. And Appl., SS 126, Asymptotic properties and perturbations of Markov operators on base norm spaces, Taipei, Taiwan, 2018.

  6. 12th AIMS Conference on Dynamical Systems, Dif. Equ. And Appl., SS20, Attractors of operator sequences on KB-spaces, Taipei, Taiwan, 2018.

  7. Workshop at CMO, Recent Advances in Banach lattices, uo-convergence and Komlos property, Oaxaca, Mexico, 2018.

  8. 38th INTERNATIONAL CONFERENCE ON QUANTUM PROBABILITY AND RELATED TOPICS, Perturbation bounds of Markov semigroups on ordered Banach spaces, Tokyo, Japan, 2017.

  9. 37th International Conference on Quantum Probability and Related Topics, Uniform ergodicities of Lotz-Raebiger’s nets of Markov operators on ordered banach spaces, (Poster), Kuantan, Malaysia, 2016.

  10. ICMA 2015, Constrictors of Markov operators on KB-spaces, Timisoara, Romania, 2015.

  11. Workshop ATMC 2015, On quasi compact Markov nets, (Invited Speaker), Ankara, Turkey, 2015.

  12. ICM 2014, Kakutani’s Problem, (Poster), Seoul, South Korea, 2014.

  13. ICWM 2014, Operator Nets on the predual of von Neumann algebras (Poster), Seoul, South Korea, 2014.

  14. ICM Satellite Conference on Operator Algebras and Applications, Operator Nets on preduals of von Neumann algebras, Cheongpung, South Korea, 2014.

  15. ICWOMA 2014, International Conference and Workshop on Mathematical Analysis, Constrictor of Operator Nets, Putrajaya, Malaysia, 2014.

  16. Positivity VII, On quasi-compactness and uniform convergence, Leiden, The Netherlands, 2014.

  17. Encounters Between Discrete and Continuous Mathematics, Workshop on Dynamical Networks, Numerical Analysis and Ergodic Theory, A new approach to the numerical range of unbounded operators: the numerical-spectrum, Budapest, Hungary, 2013.

  18. Workshop on Operator Theory and Operator Algebras (WOAT), Higher Rank Numerical Range of Operators on Hilbert Spaces , Lisbon, Portugal, 2012.

  19. Yes, We can! Workshop on female perspectives in mathematical research, Asymptotic absorbing nets of continuous mappings (Invited Speaker), Tuebingen, Germany, 2012.

  20. 12th Tulka Internet Seminar, Ergodic Theory Project 3, Blaubeuren, Germany, 2009.

  21. A Symposium on Positivity and Its Applications in Science and Economics, LR-net of Markov Operators in L1- spaces, Bolu, Turkey, 2008.

  22. Positivity V, An Extension of Sine’s Counterexample, 2007, Belfast, North Ireland.

  23. Barcelona Conference on C*-Algebras and Their Invariants, An Extension of Sine’s Counterexample of a Mean Ergodic Operator in C(K) with a Non-Ergodic Power, Barcelona , Spain, 2007.

    Presentations at National Conferences:
  1. National Mathematics Symposium, Some notes on LR-nets, Istanbul, Turkey, 2008.

  2. Ankara Mathematics Days, Quasi-compact LR-nets and uniform convergence, Ankara, Turkey, 2008.

  3. National Mathematics Symposium, Sufficient Conditions for basis on Nuclear Frechet Basis, Erzurum, Turkey, 2007.

    Participated in:
  1. EAIE Geneva 2018.

  2. EWM General Meeting, Cortona, Italy, 2015.

  3. Cambridge University, Isaac Newton Institute for Mathematical Sciences, Almost Periodic and Other Periodic Problems, Cambridge, UK, 2015.

  4. ICTP-NLAGA School in Dynamical Systems and Ergodic Theory, Dakar, Senegal, 2014.

  5. International Functional Analysis Meeting in Valencia on the Occasion of the 80th Birthday of Professor Manuel Valdivia, Valencia, Spain, 2010.

  6. 6th ISAAC Congress, Ankara, Turkey, 2007.

  7. Workshop on Operator Theory and Operator Algebras (WOAT), Lisbon, Portugal , 2007.

  8. Two Weeks on Global Analysis, Pisa, Italy, 2005.

  9. National Mathematics Symposium, Van, Turkey, 2002.



Seminars
  1. Bilkent University, Uo-convergence and Komlos property, Ankara, Turkey, 2019.

  2. Tunghai University, Uo-convergence and Komlos properties on Banach lattices, Taichung, Taiwan, 2018.

  3. Tunghai University, Uniform ergodicities and perturbation bounds of Markov chains on base norm spaces, Taichung, Taiwan, 2018.

  4. Tunghai University, Perturbation bounds of Markov semigroups on abstract state spaces, Taichung, Taiwan, 2018.

  5. International Islamic University, Malaysia, Asymptotic behavior of operator nets on the predual of von Neumann algebras, Kuantan, Malaysia, 2015.

  6. Çankaya Üniversitesi, Genel Seminer, Üniversitesi, Asymptotic behavior of operator nets on KB-spaces, Mart 2015.

  7. Atılım University, General Seminar, Quasi-compactness and uniform ergodicity of operator nets on KB-spaces, November 2014.

  8. Hacettepe University, General Seminar, Quasi-compactness and uniform ergodicity of operator nets on KB-spaces, November 2014.

  9. ICTP-NLAGA School in Dynamical Systems and Ergodic Theory, Lotz- Rabiger Nets on Banach Spaces, Dakar, Senegal, 2014.

  10. Ankara University General Seminar, Kakutani’s Problem, March 2013, Ankara.

  11. Functional Analysis Seminar, Polynomially mean ergodic theorem on Lp-spaces, 02 February 2012, Tuebingen, Germany.

  12. AGFA Meeting in Blauberen,Numerical Ranges of Hilbert space operators, 14 January 2012, Blauberen, Germany.

  13. Functional Analysis Seminar, On Lipschitz Transformation of Vector Valued Sobolev Functions, 19 May 2011, Tuebingen, Germany.

  14. Functional Analysis Seminar, Unification of ergodic and martingale theory, April 2011, Tuebingen, Germany.

  15. Ankara University General Seminar, Asymptotic Behaviour of LR-nets, 2010, Ankara, Turkey.

  16. Positivity and Its Applications Seminar, Convergence of LR-nets of operators on Banach Spaces II, 16 April 2010, METU, Turkey.

  17. Positivity and Its Applications Seminar, Convergence of LR-nets of operators on Banach Spaces I , 9 April 2010, METU, Turkey.

  18. Functional Analysis Seminar, General View to LR-nets, 9 July 2009, Tuebingen, Germany.

  19. IMPAN, Aproximation Theory Seminars, LR-net of Markov Operators on L1- spaces, 12 December 2008, Sopot, Poland.

  20. IMPAN, Aproximation Theory Seminars, Asymptotic Behaviour of LR-nets on a Banach Space, 28 November 2008, Sopot, Poland.

  21. Lecture Seminars (During 4 weeks) LR-nets notion, Gdansk, Poland.

  22. METU General Seminar, Strong stability of LR-nets. Basic Theorems, Department of Mathematics, METU, Ankara, Turkey, 2007.

  23. Positivity and Its Applications Seminar, Strong stability of LR-nets. Basic Theorems, Bolu, Turkey, 2007.



Awards and Grants
  1. L’Oréal - UNESCO Young Talents Award Programme, For Women in Science (FWIS), 2020

  2. TUBA, The Young Scientists Award Programme (GEBİP), 2019

  3. METU Prof. Dr. Mustafa N.PARLAR Education and Research Foundation, 2019 Research Incentive Award

  4. Best Ph.D. Thesis at METU in 2010

  5. Standing Committee Member of European Women of Mathematics

  6. EWM General Meeting Full Support for Participation, Italy

  7. Isaac Newton Institute for Mathematical Sciences, Cambridge University, Periodic and Other Ergodic Problems Workshop

  8. ICM and ICWM 2014 Together Grant provided to 100 woman mathematicians .

  9. Postdoctoral scholarship by German Academic Exchange Service (DAAD) .

  10. Postdoctoral scholarship by The Council of Higher Education of Turkey (YOK).

  11. The Scientic and Technological Research Council of Turkey (TUBITAK), Ph.D. Scholarship, 2007- 2010 .

  12. Full Support for the ICTP-NLAGA School in Dynamical Systems and Ergodic Theory to be held in Dakar in June 2014 .

  13. The Scientic and Technological Research Council of Turkey (TUBITAK), 2224A, 2018.

  14. The Scientic and Technological Research Council of Turkey (TUBITAK), 2224A, 2014

  15. Full Support for the Encounters Between Discrete and Continuous Mathematics, Workshop on Dynamical Networks, Numerical Analysis and Ergodic Theory, to be held in Budapest, Hungary, 2013.

  16. Full Support for the 12th Tulka Internet Seminar, Ergodic Theory Project 3, to be held in Blaubeuren, Germany, 2009.

  17. Partial Support for Positivity VII, to be held in Leiden, The Netherlands, 2014.

  18. Partial Support for Workshop on Operator Theory and Operator Algebras (WOAT), to be held in Lisbon, Portugal, 2012.

  19. Partial Support for the Positivity V, to be held in Belfast, North Ireland 2007.

  20. Partial Support for the Barcelona Conference on C*-Algebras and Their Invariants, to be held in Barcelona , Spain, 2007.

  21. Scholarship from METU Faculty Development Program and State Planning Agency to study abroad as a visiting scholar at Gdansk University of Technology, October 2008 - February 2009.

  22. Scholarship from METU Faculty Development Program and State Planning Agency to study abroad as a visiting scholar at Ulm University, March 2009 - July 2009.



Professional Services
  1. Editor for Pure and Applied Mathematics Journal

  2. Referee for Turkish Journal of Mathematics, Hacettepe Journal of Mathematics and Statistics, European Journal of Pure and Applied Mathematics, New Trends in Mathematical Science,Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi

  3. Article Editor for Turkish Journal of Mathematics

  4. External Consultant for TUBITAK



Erasmus Faculty Coordinator 2019 - cont


Mevlana Faculty Coordinator 2019 - cont


Teaching / Courses
Hacettepe University Department of Mathematics
06800 Beytepe Ankara TURKEY