### Research of George Androulakis

Research Interests:

Banach space theory, operator theory, operator algebras and applications of functional analysis to mathematical Physics.
National Science Foundation support:

DMS-9970547.

Editorial Work:

Annals of Functional Analysis (2010-present).

Ph.D. supervision

Duncan Wright .

Rade Musulin .

Alexander Wiedemann .

Matthew Ziemke Completed his Ph.D. in 2015. Thesis title: "Pettis Integration with applications to generators of Quantum Markov Semigroups". Present position: Assistant Teaching Professor at Drexel University.

Frank Sanacory Completed his Ph.D. in 2007. Thesis title: "The Richness of the space of operators on a Banach space". Present position: Assistant Professor at SUNY College of Old Westbury.

Kevin Beanland Completed his Ph.D. in 2006. Thesis title: "A Hereditarily Indecomposable Banach Space and Embedding $\ell_\infty$ into the space of Operators". Present position: Associate Professor at Washington and Lee University.

### Appeared

 27. On the closedness of the generator of the generator of a semigroup G. Androulakis, M. Ziemke Semigroup Forum (2015), DOI 10.1007/s00233-015-9738-9. pdf 26. Generators of Quantum Markov semigroups G. Androulakis, M. Ziemke Journal of Mathematical Physics 56, 083512 (2015). pdf 25. Dissipative dynamics in semiconductors at low temperature G. Androulakis, J. Bellissard, C. Sadel J. Statistical Physics Volume 147, Issue 2 (2012), 448-486. pdf 24. Hyperinvariant subspace for weighted composition operator on $L^p([0,1]^d)$ G. Androulakis, A. Flattot J. Operator Theory 66 (1) (2011), 125-144. pdf 23. On Banach spaces containing $\ell_p$ or $c_0$ G. Androulakis, N.J. Kalton, A. Tcaciuc Houston J. Math. 37 (3) (2011), 859-866. pdf 22. A new approach to the Ramsey-type games and the Gowers dichotomy in F-spaces G. Androulakis, S.J. Dilworth, N.J. Kalton Combinatorica 30 (4) (2010), 359-385. pdf 21. Almost invariant half-spaces of operators on Banach spaces G. Androulakis, A.I. Popov, A. Tcaciuc, V.G. Troitsky Integral Equations and Operator Theory 65 (2009), 473-484. pdf 20. Classes of strictly singular operators and their products G. Androulakis, P. Dodos, G. Sirotkin, V.G. Troitsky Israel J. Math. 169, (2009), 221-250. pdf 19. An extension of Schreier unconditionality G. Androulakis, F. Sanacory Positivity 12 (2008), no. 2, 313--340. pdf 18. Descriptive set theoretic methods applied to strictly singular and strictly cosingular operators G. Androulakis, K. Beanland Quaestiones Mathematicae 31 (2008), 151-161. pdf 17. Some equivalent norms on the Hilbert space G. Androulakis, F. Sanacory Banach spaces and their applications in Analysis, de Gruyter 2007, 241-250. pdf 16. A new method for constructing invariant subspaces G. Androulakis J. Math. Anal. Appl. 333 (2007) 1254-1263. pdf 15. A Hereditarily Indecomposable Asymptotic $\ell_2$ Banach Space G. Androulakis, K. Beanland Glasgow Mathematical Journal 48 (2006) 503-532. pdf 14. Embedding $\ell_\infty$ into the space of bounded operators on certain Banach spaces G. Androulakis, K. Beanland, S.J. Dilworth, F. Sanacory Bull. London Math. Soc. 38 (2006) 979-990. pdf 13. On the structure of the spreading models of a Banach space G. Androulakis, E. Odell, Th. Schlumprecht, N. Tomczak-Jaegermann Canadian J. Math. Vol. 57 (4), (2005), 673-707. pdf 12. Space averages and homogeneous fluid flows G. Androulakis, S. Dostoglou Math. Phys. Electronic J. Vol. 10 (4) (2004), 1-12. pdf 11. A property of strictly singular 1-1 operators G. Androulakis, P. Enflo Ark. Mat. 41, (2003), 233-252. pdf 10. A note on the method of minimal vectors G. Androulakis Trends in Banach spaces and operator theory (Memphis, TN, 2001), 29-36, Contemp. Math., 321, Amer. Math. Soc., Providence, RI, 2003. pdf 9. The Banach space S is complementably minimal and subsequentially prime G. Androulakis, Th. Schlumprecht Studia Math. 156 (3) (2003), 227-242. pdf 8. Strictly singular non-compact operators exist on the Gowers-Maurey space G. Androulakis, Th. Schlumprecht J. London Math. Soc. (2) 64 (2001), no 3, 655-674. pdf 7. Some more l_2-satulated weak Hilbert spaces G. Androulakis, P. Casazza, D. Kutzarova Canad. Math. Bull. 43 (2000), no 3, 257-267. pdf 6. Positivity results for the Yang-Mills-Higgs Hessian G. Androulakis, S. Dostoglou Pacific J. Math. 194 (2000), no 1, 1-17. pdf 5. Distorting mixed Tsirelson spaces G. Androulakis, E. Odell Israel J. Math. 109 (1999) 125-149. pdf 4. On the stability of monopole solutions G. Androulakis, S. Dostoglou Nonlinearity 11 no. 3 (1998), 377-408. pdf 3. Twisted sums, Fenchel-Orlicz spaces and property (M) G. Androulakis, C.D. Cazacu, N.J. Kalton Houston J. Math. 24 no. 1 (1998), 105-126. pdf 2. A counterexample to a question of R. Haydon, E. Odell and H. Rosenthal G. Androulakis Proc. Amer. Math. Soc. 126 no. 5 (1998), 1425-1428. pdf 1. A subsequence characterization of sequences spanning isomorphically polyhedral Banach spaces G. Androulakis Studia Math. 127 no. 1 (1998), 65-80. pdf 0. Isomorphically polyhedral Banach spaces and mixed Tsirelson spaces of arbitrary distortion G. Androulakis Ph.D. dissertation University of Texas, Austin, TX 1996. On the subsymmetric sequences in S G. Androulakis, Th. Schlumprecht Unpublished. pdf