Geodesic
Maps preserving general means of positive operators
The electronic journal of linear algebra, Tome 22 (2011), pp. 864-874.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Under some mild conditions, the general form of bijective transformations of the set of all positive linear operators on a Hilbert space which preserve a symmetric mean in the sense of Kubo-Ando theory is described.
Classification : 47B49, 47A64
Keywords: positive operators, mean, automorphisms, preservers 
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     author = {Molnar, Lajos},
     title = {Maps preserving general means of positive operators},
     journal = {The electronic journal of linear algebra},
     pages = {864--874},
     publisher = {mathdoc},
     volume = {22},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ELA_2011__22__a19/}
}
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Molnar, Lajos. Maps preserving general means of positive operators. The electronic journal of linear algebra, Tome 22 (2011), pp. 864-874. http://geodesic.mathdoc.fr/item/ELA_2011__22__a19/