THREE-SPACE PROBLEM FOR SOME APPROXIMATION PROPERTIES
- Title
- THREE-SPACE PROBLEM FOR SOME APPROXIMATION PROPERTIES
- Authors
- Kim, JM; null
- Date Issued
- 2010-02
- Publisher
- MATHEMATICAL SOC REP CHINA
- Abstract
- Suppose that M is a closed subspace of a Banach space X such that M(perpendicular to) is complemented in the dual space X*, where M(perpendicular to) = {x* is an element of X* : x*(m) = 0 for all m is an element of M}. Godefroy and Saphar [4] study the three-space problem for the approximation properties on (X, M). In this paper, we extend some of their results and solve the three-space problem for the weak bounded approximation property on (X, M), which was introduced in Lima and Oja [10].
- Keywords
- Approximation property; Bounded approximation property; Weak bounded approximation property; Three-space problem; BANACH-SPACES; OPERATORS; WEAK
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/27525
- ISSN
- 1027-5487
- Article Type
- Article
- Files in This Item:
- There are no files associated with this item.
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