Transformations preserving norms of means of positive operators and nonnegative functions

L Molnár, P Szokol - Integral Equations and Operator Theory, 2015 - Springer
Motivated by recent investigations on norm-additive and spectrally multiplicative maps on
various spaces of functions, in this paper we determine all bijective transformations between …

[PDF][PDF] Preserver problems related to quasi-arithmetic means of invertible positive operators

M Gaál, G Nagy - Integral Equations Operator Theory, 2018 - academia.edu
Preserver Problems Related to Quasi-Arithmetic Means of Invertible Positive Operators
Page 1 Integr. Equ. Oper. Theory (2018) 90:7 https://doi.org/10.1007/s00020-018-2426-x …

Norm-Additive Maps on the Positive Definite Cone of a C^* C∗-Algebra

M Gaál - Results in Mathematics, 2018 - Springer
In this paper, we determine the structure of Schatten p-norm additive maps on the set of
positive invertible elements of a C^* C∗-algebra carrying a faithful normalized trace. It turns …

Maps preserving Schatten norms of power means of positive operators

G Nagy - Integral Equations and Operator Theory, 2018 - Springer
In this paper, we determine the general form of transformations on positive operators
preserving ap-norm of a power mean with positive exponent. The corresponding theorems …

Norm of positive sum preservers of smooth ban ach lattices and U>(p) spaces

J Zhang, MC Tsai, NC Wong - Journal of Nonlinear and …, 2019 - ntut.elsevierpure.com
In this paper, we study surjective maps (p: E+—► F+ between positive cones of two ordered
Banach spaces E and F, which preserve norm of sums, ie,\\< p (x)+< p (y)\\=\\x+ y\\, Vx, yeE+ …

[PDF][PDF] Maps preserving norms of generalized weighted quasi-arithmetic means of invertible positive operators

G Nagy, P Szokol - ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2019 - real.mtak.hu
In this paper, we mainly discuss the problem of describing the structure of transformations
leaving norms of generalized weighted quasi-arithmetic means of invertible positive …

Preservers for the Tsallis entropy of convex combinations of density operators

X Fang, Y Lao - Advances in Mathematical Physics, 2018 - Wiley Online Library
Preservers for the Tsallis Entropy of Convex Combinations of Density Operators - Fang -
2018 - Advances in Mathematical Physics - Wiley Online Library Skip to Article Content Skip …

On some Isometries and other Preservers

M Gaál - 2019 - search.proquest.com
The topic of the dissertation falls into the area of preserver problems. The dissertation
consists of five chapters followed by a summary (both in English and in Hungarian) and a …

Transformations on density operators preserving generalised entropy of a convex combination

M Gaal, G Nagy - Bulletin of the Australian Mathematical Society, 2018 - cambridge.org
We aim to characterise those transformations on the set of density operators (which are the
mathematical representatives of the states in quantum information theory) that preserve a so …

[PDF][PDF] Izometriakrol és egyéb megorzési problémakrol

G Marcell - math.u-szeged.hu
A jelen disszertáció néhány eredményt tartalmaz a megorzési problémák területérol. Az
ilyen problémákat általánosan a következoképpen tudjuk megfogalmazni. Legyen adott egy …