Positivity and its Applications
9-13 July 2001, Nijmegen



The second international conference on Positivity and its Applications is devoted to
the theory of (operators on) ordered topological vector spaces and its applications.



Relevant data
Organizers  A.C.M. van Rooij and S. Teerenstra
Date   9-13 July 2001
Place   Mathematical Institute
University of Nijmegen
Nijmegen, the Netherlands
Subjects   Banach lattices, Riesz spaces, positive operators, ...
and applications (especially in economics)
Program   talks, problem session, PhD mini-courses, excursion
Costs   travel costs will in principle be for the participants' own account;
a conference fee of (under reserve) 200-400 Dutch guilders i.e. 100-200 euros;
PhD-students are granted remission of the conference fee.
Information   S. Teerenstra (till September 2002)
Mathematical Institute, Toernooiveld, 6525 ED NIJMEGEN, The Netherlands
(+ 00 31) 24 36 528 73 (telephone)
(+ 00 31) 24 36 521 40 (telephone)



The organizers are grateful to the following institutions for financially supporting the conference:

Sponsors
Subfaculty of Mathematics of the University of Nijmegen;
University of Nijmegen (KUN)
Netherlands Organization for Scientific Research (NWO)
Mathematical Research Institute
Royal Netherlands Academy of Arts and Sciences (KNAW)





Further information
Travel information: how to get to Nijmegen, how to get to your accomodation, maps
Program: welcome-reception, mini-courses, schedule of the talks
Open Problems: The problems that were submitted after the conference can be downloaded as a zipped LaTeX-2.09 file . Alternatively, you can view them as PostScript file .
Proceedings: The proceedings of the conference are to appear in the journal Positivity 7, issue 1, March 2003 (Kluwer Academic Publishers).
The talks will be open to anyone interested. The rest of the program, however, will be reserved for the speakers and participants.




Speakers and tentative titles  
Roko Aliprantis  Riesz Spaces in Economics and Finance
Safak Alpay  On the principle ideal generated by a positive operator
Birol Altin
(S. Alpay, C. Tonyali) 
b-weakly compact operators on a Banach Lattice
Zili Chen   A counterexample of compact operator between two Banach lattices
Nicolae Danet and Rodica-Mihaela Danet   Extension theorems and the Riesz decomposition property
Roman Drnovsek   Common invariant subspaces for collections of operators
Eduard Yu. Emel'yanov   Asymptotic properties of Markov and related operator semigroups
Zafer Ercan   On the Hahn decomposition theorem on semirings
Julio Flores   Domination by positive strictly singular operators
Onno van Gaans   The Riesz part of a positive inner product
J.J. Grobler   Absolute tau-integral operators
Yoram Gordon   Geometric and probabilistic aspects of local theory of convex bodies
Anke Kalauch   On a certain Maximum Principle for Positive Operators
Arkady Kitover (with Yuri Abramovich #)   Some recent progress regarding the inverses of disjointness preserving operators
Wim Luxemburg   Sunduals of semigroups of positive operators
Alexander Mekler   Conditional expectation operators on rearrangement invariant ideals of L^1:
real interpolation between L^\infty and L^1
Matjaz Omladic   Burnside problem for semigroups of positive operators
Ben de Pagter   The structure of positive projections
Yiannis Polyrakis   Geometry of cones and theory of Banach spaces
Egon Scheffold   On positive resolvent values of positive operators
Ton Schep   Daugavet type inequalities for operators on L^p
Evgueni Semenov   Strictly singular embeddings
Gleb Sirotkin   On compact friendly operators
Soslan Tabuev   A characterization of diffuse operators
Steven Teerenstra   A generalization of Lindenstrauss' and Tzafriri's isomorphic characterization of M-spaces and L^p-spaces to include L^p-spaces for 0 < p < 1
Stef Tijs   Finite coverings with cones and applications in game theory and multi-objective programming
Vladimir G. Troitsky   Measures of non-compactness of positive operators
Bahri Turan   On ideal operators
Martin Väth   On the Luxemburg-Gribanov theorem
Alexander Veksler (with A.V. Koldunov #)   Finitely extendable operators on vector lattices
Martin R. Weber (and B.M. Makarow #)   Asymptotic behavior of some positive semigroups
Tony Wickstead   The cardinality of Rademacher systems in Banach lattices with an order continuous norm
Manfred P.H. Wolff   On the asymptotic behaviour of semigroups of positive operators on noncommutative L^1-spaces
Witold Wnuk   Remarks on regular Riesz subspaces
(...) title to be announced later ; # not participating


Other participants
Ralph van Dinther   Technische Universiteit Eindhoven
Gudron Geuze   Katholieke Universiteit Nijmegen
Ayse Uyar   Gazi University (Turkey)





Last update this page: November 26, 2002;
Proceedings info added: November 26, 2002;
Open problems added: May 11, 2002;
Travel information revised: June 12, 2001;
More maps added: June 28, 2001;
Program added: June 29, 2001;
General information upcoming (Hmmm, probably not relevant anymore).

Comments to S. Teerenstra.