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Corrigendum and Addendum: Abstract M- and Abstract L-Spaces of Polynomials on Banach Lattices

Part of: Normed linear spaces and Banach spaces; Banach lattices Measures, integration, derivative, holomorphy

Published online by Cambridge University Press:  06 January 2017

Qingying Bu ,
Gerard Buskes  and
Yongjin Li
Qingying Bu
Affiliation:
Department of Mathematics, University of Mississippi, University, MS 38677, USA (qbu@olemiss.edu; mmbuskes@olemiss.edu)
Gerard Buskes
Affiliation:
Department of Mathematics, University of Mississippi, University, MS 38677, USA (qbu@olemiss.edu; mmbuskes@olemiss.edu)
Yongjin Li
Affiliation:
Department of Mathematics, Sun Yat-sen University, Guangzhou, 510275, People's Republic of China (stslyj@zsu.edu.cn)
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Abstract

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In this short note, we correct and reformulate Theorem 3.1 in the paper published in Proceedings of the Edinburgh Mathematical Society58(3) (2015), 617–629.

Keywords

homogeneous polynomialspositive tensor productsAM- and AL- spaces

MSC classification

Secondary: 46G25: (Spaces of) multilinear mappings, polynomials 46B28: Spaces of operators; tensor products; approximation properties 46B42: Banach lattices
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 60 , Issue 4 , November 2017 , pp. 877 - 879
Copyright
Copyright © Edinburgh Mathematical Society 2017 

References

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2. Bu, Q., Buskes, G. and Li, Y., Abstract M- and abstract L-spaces of polynomials on Banach lattices, Proc. Edinb. Math. Soc. 58(3) (2015), 617–629.Google Scholar
3. Fremlin, D. H., Tensor products of Banach lattices, Math. Annalen 211 (1974), 87–106.Google Scholar
4. Meyer-Nieberg, P., Banach lattices (Springer, 1991).Google Scholar
5. van Rooij, A. C. M., When do the regular operators between two Riesz spaces form a Riesz space? Report 8410 (Department of Mathematics, Catholic University of Nijmegen, 1984).Google Scholar
6. Wickstead, A. W., AL-spaces and AM-spaces of operators, Positivity 4 (2000), 303–311.Google Scholar