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Čebyšëv subspaces of JBW ∗ -triples
dc.contributor.author | Jamjoom, Fatmah B. | |
dc.contributor.author | Peralta, Antonio Miguel | |
dc.contributor.author | Siddiqui, Akhlaq A. | |
dc.contributor.author | Tahlawi, Haifa A. | |
dc.date.accessioned | 2015-10-21T09:26:54Z | |
dc.date.available | 2015-10-21T09:26:54Z | |
dc.date.issued | 2015 | |
dc.identifier.citation | Jamjoom, F.B.; et al. Čebyšëv subspaces of JBW ∗ -triples. Journal of Inequalities and Applications, 2015: 288 (2015). [http://hdl.handle.net/10481/38553] | es_ES |
dc.identifier.issn | 1029-242X | |
dc.identifier.uri | http://hdl.handle.net/10481/38553 | |
dc.description.abstract | We describe the one-dimensional Čebyšëv subspaces of a JBW ∗ -triple M by showing that for a non-zero element x in M, Cx is a Čebyšëv subspace of M if and only if x is a Brown-Pedersen quasi-invertible element in M. We study the Čebyšëv JBW ∗ -subtriples of a JBW ∗ -triple M. We prove that for each non-zero Čebyšëv JBW ∗ -subtriple N of M, exactly one of the following statements holds: (a) N is a rank-one JBW ∗ -triple with dim(N)≥2 (i.e., a complex Hilbert space regarded as a type 1 Cartan factor). Moreover, N may be a closed subspace of arbitrary dimension and M may have arbitrary rank; (b) N=Ce, where e is a complete tripotent in M; (c) N and M have rank two, but N may have arbitrary dimension ≥2; (d) N has rank greater than or equal to three, and N=M. We also provide new examples of Čebyšëv subspaces of classic Banach spaces in connection with ternary rings of operators. | es_ES |
dc.description.sponsorship | The authors extend their appreciation to the Deanship of Scientific Research at King Saud University for funding this work through research group No. RG-1435-020. The second author also is partially supported by the Spanish Ministry of Economy and Competitiveness project No. MTM2014-58984-P. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Springer Open | es_ES |
dc.rights | Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License | es_ES |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/ | es_ES |
dc.subject | Čebyšëv/Chebyshev subspace | es_ES |
dc.subject | JBW∗-triples | es_ES |
dc.subject | Čebyšëv/Chebyshev subtriple | es_ES |
dc.subject | von Neumann algebra | es_ES |
dc.subject | Brown-Pedersen quasi-invertibility | es_ES |
dc.subject | Spin factor | es_ES |
dc.subject | Minimum covering sphere | es_ES |
dc.title | Čebyšëv subspaces of JBW ∗ -triples | es_ES |
dc.type | journal article | es_ES |
dc.rights.accessRights | open access | es_ES |
dc.identifier.doi | 10.1186/s13660-015-0813-2 |