### 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 (2010-2013).

Present Ph.D. Students:

Matthew Ziemke

Past Ph.D. students:

Kevin Beanland "A Hereditarily Indecomposable Banach Space and Embedding $\ell_\infty$ into the space of Operators", 2006. Present position: Assistant Professor at Virginia Commonwealth University.

Frank Sanacory "The Richness of the space of operators on a Banach space", 2007. Present position: Assistant Professor at SUNY College of Old Westbury.

### Appeared

 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. 0 On the subsymmetric sequences in S G. Androulakis, Th. Schlumprecht pdf Unpublished.