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********************  Note: Two Talks on Special Date  ********************

 

                                Seminar

 

            Department of Systems Engineering and Engineering Management,

                               The Chinese University of Hong Kong

 

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Title: Generalized convexity and separation theorems

 

Speaker: Kazimierz Nikodem, Professor

         University of Bielsko-Biala, Poland

                      

Date    : September 19th, 2006 (Tuesday)

Time   : 4:30p.m. - 5:00p.m.

Venue : Room 513

             MMW Engineering Building(Engineering Building Complex Phase 2)

             CUHK

 

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Abstract:

 

In 1937 E. F. Beckenbach generalized the notion of convex

functions. In a similar way F-convex sets are defined. Many

properties of F-convex functions and F-convex sets are similar

to those known for the classical convexity. In the talk some new

results of this type will be presented. First, the Kakutani theorem

(stating that two disjoint convex sets can be separated by

complementary convex sets) will be extended to F-convex sets.

Then some characterizations of pairs of functions that can be

separated by an F-convex function or by a function belonging to F

will be given.

(For detailed information, please see the pdf file attached).

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Biography:

 

Kazimierz Nikodem holds a M.Sc. degree in Mathematics,

Silesian University, Katowice, 1977 and a Ph.D. degree in Mathematics,

Silesian University, Katowice, 1981. He is currently a

Full Professor of University of Bielsko-Biala and Head of

the Department of Mathematics, University of Bielsko-Biala.

 

His research interests can be summarized as Convex analysis,

functional equations and inequalities,  set-valued functions, etc.

 

He has published over 50 publications in mathematical journals in

Canada, Austria, Germany, USA, Japan, Italy, Romania, Hungary and Poland.

He talked on over 50 international conferences in Polana and abroad

(Austria, Canada, Czech Republic, Denmark, France, Germany, Hungary,

Italy, Slovakia, Spain, USA). He is the reviewer for Mathematical

Reviews and Zentralblatt fr Mathematik.

 

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Title: On embedding of diffeomorphisms on Banach space

       in regular iteration semigroup

 

Speaker: Marek Cezary Zdun, Professor

         University of Bielsko-Biala, Poland

         mczdun@ap.krakow.pl

       

Date    : September 19th, 2006 (Tuesday)

Time   : 5:00p.m. - 5:30p.m.

Venue : Room 513

             MMW Engineering Building(Engineering Building Complex Phase 2)

             CUHK

 

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Abstract:

 

Let X be a real Banach space, U (subset of X) is an open set and

F is a diffeomorphism. A family of C1 mappings

is said to be a regular iteration semigroup or semiflow of f.

An application for C1 iterative roots of f is given in this paper, that

is the functions g such that g^n=f.

(For detailed information, please see the pdf file attached).

 

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Biography:

 

Marek Cezary Zdun holds a M.Sc. and a Ph. D. degree in Mathematics,

Silesian University, Katowice, 1971 and  1974, respectively.

He is currently a Full Professor and Dean of Faculty of Mathematics,

Physics and Engineering in Pedagogical University.

 

His research interests can be summarized as Functional equations,

iteration theory, dynamical systems, real functions, functional analysis,

probability theory, calculus, linear and abstract algebra, etc.

 

He has published 53 papers in scientific journals, 56 talks on

international symposiums. He has been the member of Polish

Mathematical Society since 1971 and the member of American

Mathematical Society since 1983.

 

************************  ALL ARE WELCOME  **********************

 

Enquiries: Mr. Peixiang Zhao or Prof. Jeffrey Xu Yu,

                 Department of Systems Engineering and Engineering Management

                 CUHK

Website:   http://www.se.cuhk.edu.hk/~seg5810

Email:       seg5810@se.cuhk.edu.hk

 

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