26th International Workshop on Operator Theory and its Applications

Thematic Sessions

Participants wishing to organize Thematic Sessions are invited to send applications to organizers prior March 15, 2015 together with a preliminary list of at least 5 participants. Otherwise no constraints.
Recently the following sessions are available.

1. Structured Linear Algebra (SLA)
                              Y. Eidelman
                              Tel Aviv, Israel
  A.C.M. Ran
Amsterdam, Netherlands
The proposal is to have a special session which will focus on topics related to structured matrices at IWOTA 2015. The purpose is to attract a group of people to IWOTA that are not frequent attendants. The community we have in mind is having regular conferences called Structured Linear Algebra, roughly every two years. The last of these conferences was held in Kalamata in September 2014; the next one will be at the earliest in 2016. The subject of Structured Matrices was one of the important points of interest of Israel Gohberg and, therefore, we have decided to have such a special session at IWOTA 2015.
2. Operator Theory Methods in Singular Integral Equations (OTMSIE)
Dedicated to the 100-th birthday of Prof. Boris Khvedelidze
R. Duduchava
Tbilisi, Georgia
  L. Epremidze
Tbilisi, Georgia & Abu Dhabi, UAE
  I. Spitkovsky
Williamsburg, Virginia & Abu Dhabi, UAE
Session will highlight recent achievements in the investigation of one and multidimensional singular integral equations mostly by operator-theoretical methods. The session will also highlight applications of singular integral equations in various fields of pure and applied mathematics. The reports will cover the following topics:
1. One dimensional singular integral equations: theory and applications;
2. Factorization of functions and their application;
3. Multidimensional singular integral equations: theory and applications;
4. Approximate solution of integral equations-operator theoretical methods.

3. Variational Methods and Applications
V.A. Kovtunenko
Graz, Austria
  A.I. Oleinikov
Moscow, Russia
  V.M. Sadovskii
Krasnoyarsk, Russia
The thematic session is devoted to variational methods as they appear in need of mathematical theory, optimization and numerical algorithms, engineering sciences. Variational techniques are highly useful in forward as well as inverse PDE problems to take into account nonlinearities which appear due to modeling plenty of phenomena.
Topics of interest include but are not limited to:
non-linearity, non-smoothness, non-convexity, dual and entropy approaches, control, shape and topology optimization, structure design, fracture or non-destructive testing, inverse scattering, electro-kinetics, photo-voltaic, micro-biological and bacteria issues, contact interaction, plasticity, granular, Cosserat and other dissipative physics.
Abstract variational theories as well as numerical simulations and various applications in mechanical, physical, geological, and bio-medical sciences are welcomed.

4. Toeplitz operators and related topics
                              S. Grudsky
                              Mexico city, Mexico
  N. Vasilevski
Mexico city, Mexico
The main goal of this section is to bring together the experts actively working on Toeplitz operators acting on Bergman, Fock, or Hardy spaces, as well as in various related areas where Toeplitz operators play an essential role, such as asymptotic linear algebra, quantization, approximation, wavelets and time-frequency analysis, singular integral and convolution type operators.
5. Algebraic and analytic aspects of Hilbert space operators
             F. H. Szafraniec
            Krakow, Poland
   J. Stochel
Krakow, Poland
  M. Ptak
Krakow, Poland
One way of investigating operators in Hilbert space is to consider them as members of algebraic structures like spaces, algebras or semigroups. This allows to extract common features of the operators while considering them inside an abstract scheme.
On the other hand, the presence of analytic structure within the space provides more tools extends substantially the scope. The proposed subject includes both means separately as well as a join of them.
Among traditional examples of the latter one finds shift operators of any kind, Toeplitz and Hankel operators or composition ones, as to mention some possibilities. The list of examples can be extended much beyond this. Needless to say that unbounded operators fit well into this scheme, and this allows to take advantage of rich source of applications in Classical and Quantum Mechanics extending those already located in Pure and Applied Mathematics.
6. Perturbations of linear operators
                     V. Peller
St.Petersburg, Russian Federation & East Lansing, Michigan, USA
The thematic session is devoted to various problems in the theory of perturbations of linear operators. Topics include, but not limited to:
1. Behaviour of functions of operators under perturbations of operators;
2. Perturbations of functions of several commuting operators;
3. Perturbations of functions of noncommuting operators;
4. Trace formulae.
7. Operator Theory, Real Algebraic Geometry, And Moment Problems
We are dedicating this session to the memory of Murray Marshall (24.3.1940--1.5.2015), one of the foremost specialists on positive polynomials and moment problems. He will be sorely missed
                                    I. Klep
                                   The University of Auckland,
                                    New Zeeland
  V. Vinnikov
Ben Gurion University of the Negev,

Moment problems have been both at the heart and at the crossroads of numerous disciplines in pure and applied mathematics since their first appearance in the work of Stieltjes more than a century ago. They certainly occupy a prominent position in the field of operator theory and its applications. While Haviland’s Theorem (1935) related the solvability of a multidimensional moment problem to positive polynomials, it was only in the last two decades that moment problems came to play an important role in the field of real algebraic geometry, that grew largely out of Hilbert’s 17th problem on representing a positive real rational function as a sum of squares of real rational functions. The purpose of this thematic session is to bring together specialists in these two fields, both those that are traditional members of the IWOTA community and newcomers.

8. Free Noncommutative Analysis And Its Applications
                                         J.A. Ball
                                         Virginia Tech, USA,
  V. Vinnikov
Ben Gurion University of the Negev,  Israel

Functions of free noncommuting variables were first considered by Joseph L. Taylor in his monumental work on noncommutative spectral theory in the 1970s. They became a topic of active research in the last several years, as a fertile ground for considering the analogues of many problems of classical analysis in several complex variables and related problems in multivariable operator theory,
and as an important tool in free probability and free noncommutative algebraic and semialgebraic geometry and convexity.
The purpose of this thematic session is to give a venue for presenting some recent results in this rapidly developing area of operator theory and its applications.

9. Partial Differential Equations and Applications
                                           O. Chkadua
                                           Tbilisi,  Georgia
  V. Vinnikov
Tbilisi, Georgia


10. Operator theory, real and complex analysis
                     Sanne ter Horst
North-West University
Potchefstroom, South Africa

11. Linear operators and spectral problems
                     Rostyslav Hryniv
L'viv, Ukraine

Remembering Leiba Rodman (1949 -2015)
On March 2 of this year Leiba Rodman, vice president and long time member of the IWOTA Steering Committee, passed away. At IWOTA 2014 we celebrated his 65th birthday with an emphasis on his outstanding mathematical work. In the present memorial session we will remember Leiba as a wonderful human being, a great friend, an excellent co-author, and a dear colleague.
Rien Kaashoek (chair)
Joe Ball
Ilya Spitkovsky
Andre Ran