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001-es BibID:	BIBFORM103032
035-os BibID:	(WOS)000548137700002 (Scopus)85087747973
Első szerző:	Nagy Gergő (matematikus)
Cím:	Maps stemming from the functional calculus that transform a Kubo-Ando mean into another / Gergő Nagy
Dátum:	2020
ISSN:	0001-9054 1420-8903
Megjegyzések:	In this paper, we investigate maps on sets of positive operators which are induced by the continuous functional calculus and transform a Kubo-Ando mean sigma into another tau. We establish that under quite mild conditions, a mapping phi can have this property only in the trivial case, i.e. when sigma and tau are nontrivial weighted harmonic means and phi stems from a function which is a constant multiple of the generating function of such a mean. In the setting where exactly one of sigma and tau is a weighted arithmetic mean, we show that under fairly weak assumptions, the mentioned transformer property never holds. Finally, when both of sigma and tau are such a mean, it turns out that the latter property is only satisfied in the trivial case, i.e. for maps induced by affine functions.
Tárgyszavak:	Természettudományok Matematika- és számítástudományok idegen nyelvű folyóiratközlemény külföldi lapban folyóiratcikk Homomorphisms Mean affine functions Functional equations Kubo-Ando means Continuous functional calculus Positive operators Invertible positive operators
Megjelenés:	Aequationes Mathematicae. - 94 : 4 (2020), p. 761-775. -
Pályázati támogatás:	NKFIH-K115383 Egyéb
Internet cím:	Szerző által megadott URL DOI Intézményi repozitóriumban (DEA) tárolt változat
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