Research of George Androulakis

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My research interests include Banach space theory, operator theory and applications of functional analysis to mathematical Physics.

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My work has been partially supported by NSF DMS-9970547.

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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.

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PUBLICATIONS

In preparation

23.	On Banach spaces containing $\ell_p$ or $c_0$ G. Androulakis, N.J. Kalton, A. Tcaciuc
22.	On the subsymmetric sequences in S G. Androulakis, Th. Schlumprecht pdf Submitted
21.	A new approach to the Ramsey-type games and the Gowers dichotomy in F-spaces G. Androulakis, S.J. Dilworth, N.J. Kalton pdf Accepted
20.	Descriptive set theoretic methods applied to strictly singular and strictly cosingular operators G. Androulakis, K. Beanland Quaestiones Mathematicae pdf
19.	An extension of Schreier unconditionality G. Androulakis, F. Sanacory Positivity pdf
18.	Classes of strictly singular operators and their products G. Androulakis, P. Dodos, G. Sirotkin, V.G. Troitsky Israel J. Math. pdf Appeared
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.

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Androulakis George

Last modified: Tue Apr 24 18:29:15 EDT 2007