The weak bounded approximation property of pairs
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- by Dongyang Chen, Ju Myung Kim and Bentuo Zheng PDF
- Proc. Amer. Math. Soc. 143 (2015), 1665-1673 Request permission
Abstract:
We study the weak bounded approximation property (weak BAP) of pairs and show that each of the spaces $c_0$ and $\ell _1$ has a subspace having the approximation property but failing the weak BAP.References
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Additional Information
- Dongyang Chen
- Affiliation: School of Mathematical Sciences, Xiamen University, Xiamen, 361005, People’s Republic of China
- Email: cdy@xmu.edu.cn
- Ju Myung Kim
- Affiliation: Department of Mathematical Sciences, Seoul National University, Seoul, 151-747, Korea
- Email: kjm21@kaist.ac.kr
- Bentuo Zheng
- Affiliation: Department of Mathematical Sciences, The University of Memphis, Memphis, Tennessee 38152-3240
- Email: bzheng@memphis.edu
- Received by editor(s): January 7, 2013
- Received by editor(s) in revised form: August 13, 2013, and September 12, 2013
- Published electronically: November 4, 2014
- Additional Notes: The first author was supported in part by the National Natural Science Foundation of China (Grant No. 10701063) and the Fundamental Research Funds for the Central Universities (Grant No. 2011121036)
The second author, who was the corresponding author, was supported by NRF Grant 2013R1A1A2A10058087, funded by the Korean Government
The third author was partially supported by NSF-DMS-1200370.
The authors were participants in the NSF Workshop in Analysis and Probability, Texas A&M University (2012) - Communicated by: Thomas Schlumprecht
- © Copyright 2014 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 143 (2015), 1665-1673
- MSC (2010): Primary 46B28; Secondary 47L20
- DOI: https://doi.org/10.1090/S0002-9939-2014-12361-6
- MathSciNet review: 3314079