Research interests:
Operator spaces, Banach spaces, von Neumann algebras and C*-algebras,
operator theory, constructive set theory, JB*-triples, convex geometry,
probability theory.
Recent papers and preprints:
- An alternative Daugavet property
(with M. Martin), J. Math. Anal. Appl. 294 (2004):
dvi,
ps,
pdf.
- Operator spaces with few completely bounded maps
(with E. Ricard), Math. Ann. 328 (2004):
dvi,
ps,
pdf.
- Operator spaces with prescribed sets of completely bounded maps,
J. Funct. Anal. 224 (2005):
dvi,
ps,
pdf.
- A theorem of Krein revisited (with V. Troitsky),
Rocky Mountain J. Math. 35 (2005):
dvi,
ps,
pdf.
- Spaces of operators, the psi-Daugavet property, and numerical
indices, Positivity 9 (2005):
dvi,
ps,
pdf.
- Operator spaces with complete bases, lacking completely unconditional bases, Houston J. Math. 32 (2006):
dvi,
ps,
pdf.
- The non-commutative Gurarii space, Arch. Math. 86 (2006):
dvi,
ps,
pdf.
- Hyperreflexivity and operator ideals, J. Funct. Anal.
246 (2007):
dvi,
ps,
pdf.
- Unconditional basic sequences and homogeneous Hilbertian subspaces
of non-commutative Lp spaces
(with M. Junge), Indiana Univ. Math. J. 56 (2007):
dvi,
ps,
pdf.
- A metric characterization of normed linear spaces
(with H. Rosenthal), Rocky Mountain J. Math. 37 (2007):
dvi,
ps,
pdf.
- Embeddings of finite dimensional operator spaces into
the second dual (with A. Arias), Studia Math. 181 (2007):
dvi,
ps,
pdf.
- The complete isomorphism class of an operator space,
Proc. Amer. Math. Soc. 135 (2007):
dvi,
ps,
pdf.
- Some properties related to the Daugavet Property, in
"Banach spaces and their applications in analysis", Walter de Gruyter, Berlin, 2007.
dvi,
ps,
pdf.
- The operator shift space, Proc. Edinburgh Math. Soc.
51 (2008):
dvi,
ps,
pdf.
- Products of projections in von Neumann algebras,
Lin. Alg. Appl. 429 (2008):
dvi,
ps,
pdf.
- Rosenthal operator spaces
(with M. Junge and N. Nielsen), Studia Math. 188 (2008):
ps,
pdf.
- Finite representability of homogeneous Hilbertian operator spaces
in spaces with few completely bounded maps, J. Operator Theory 61 (2009):
dvi,
ps,
pdf.
- Representations of Banach algebras as algebras
of completely bounded maps, Math. Scand. 105 (2009):
dvi,
ps,
pdf.
- Restricted Schur multipliers and
their applications, Proc. Amer. Math. Soc., to appear:
dvi,
ps,
pdf.
- Completely bounded and ideal norms
of multiplication operators and Schur multipliers,
Integral Equations and Operator Theory, to appear:
dvi,
ps,
pdf.
- Some results on metric trees
(with A. Aksoy), submitted:
dvi,
ps,
pdf.
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