Geodesic
Representing Diagrams and M-Ideals in L1-Predual Spaces
Journal of convex analysis, Tome 29 (2022) no. 2, pp. 333-344
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We continue the study of diagrammatic representations of separable L1-predual spaces and show that given an M-ideal M in a C(K)-space, there exists a diagram of C(K) such that M is given by a directed sub-diagram. Similar results are true also for the spaces C0(T), c and c0. This allows one to find a representing matrix of an M-ideal in these spaces. We also obtain some partial results for hyperplanes that are M-ideals in separable L1-predual spaces.
Classification : 46B25, 46B20
Mots-clés : M-ideal, L1-predual space, C(K)-space, directed sub-diagram 
@article{JCA_2022_29_2_JCA_2022_29_2_a1,
     author = {P. Bandyopadhyay and A. Sensarma},
     title = {Representing {Diagrams} and {M-Ideals} in {L\protect\textsubscript{1}-Predual} {Spaces}},
     journal = {Journal of convex analysis},
     pages = {333--344},
     year = {2022},
     volume = {29},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JCA_2022_29_2_JCA_2022_29_2_a1/}
}
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P. Bandyopadhyay; A. Sensarma. Representing Diagrams and M-Ideals in L1-Predual Spaces. Journal of convex analysis, Tome 29 (2022) no. 2, pp. 333-344. http://geodesic.mathdoc.fr/item/JCA_2022_29_2_JCA_2022_29_2_a1/