You are cordially invited to the Analysis Seminar organized by the Department of Mathematics.
Speaker: Alexander Goncharov (Bilkent)
“Restriction spaces: basis, structure, isomorphic classification.”
Abstract: Suppose that a zero sequence (a_k) is given, satisfying certain mild regularity conditions. The corresponding restriction space X consists of functions on (a_k), which can be extended to infinitely differentiable functions on the line.
We consider the linear topological structure of such spaces. In particular, the basis in X is constructed and diametral dimension of X is calculated. This allows us to present families (of continuum cardinality) of pairwise non-isomorphic spaces. The isomorphic classification of restriction spaces is given. In addition, the criteria are given for the space to be a power series space and for the dominating property of the space.
Date: February 3, Monday, 2025
Time: 15:40-16:40
Place: Mathematics Seminar Room SA – 141