You are cordially invited to the Analysis Seminar organized by the Department of Mathematics.<\/p>\n
Speaker: Alexander Goncharov (Bilkent)<\/p>\n
\u201cRestriction spaces: basis, structure, isomorphic classification.\u201d<\/p>\n
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.
\nWe 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.<\/p>\n
Date: February 3, Monday, 2025
\nTime: 15:40-16:40
\nPlace: Mathematics Seminar Room SA \u2013 141<\/p>\n","protected":false},"excerpt":{"rendered":"
You are cordially invited to the Analysis Seminar organized by the Department of Mathematics. Speaker: Alexander Goncharov (Bilkent) \u201cRestriction spaces: basis, structure, isomorphic classification.\u201d 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 [\u2026] <\/p>\n