Prof. Dr. Lajos Molnar

Profile

Academic positionFull Professor
Research fieldsAnalysis, Differential Equations
KeywordsQuantum structures, functional analysis, operator algebras, preserver problems

Current contact address

CountryHungary
CitySzeged
InstitutionUniversity of Szeged
InstituteBolyai Institute
Homepagehttp://www.math.u-szeged.hu/~molnarl/

Host during sponsorship

Prof. Dr. Werner TimmermannInstitut für Analysis, Technische Universität Dresden, Dresden
Start of initial sponsorship01/07/2002

Programme(s)

2002Humboldt Research Fellowship Programme

Publications (partial selection)

2012Osamu Hatori, Lajos Molnar: Isometries of the unitary group. In: Proc. Amer. Math. Soc. , 2012, 2141-2154
2011Lajos Molnar: Kolmogorov-Smirnov isometries and affine automorphisms of spaces of distribution functions. In: Cent. Eur. J. Math., 2011, 789-796
2011Lajos Molnar: Levy isometries of the space of probability distribution functions. In: J. Math. Anal. Appl., 2011, 847-852
2011Lajos Molnar: Order automorphisms on positive definite operators and a few applications. In: Linear Algebra Appl., 2011, 2158-2169
2011Lajos Molnar, Werner Timmermann: Transformations on bounded observables preserving measure of compatibility. In: Int. J. Theor. Phys., 2011, 3857-3863
2010Lajos Molnar: Linear maps on observables in von Neumann algebras preserving the maximal deviation. In: J. London Math. Soc., 2010, 161-174
2010Lajos Molnar, Gergo Nagy: Thompson isometries on positive operators: the 2-dimensional case. In: Electron. J. Lin. Alg., 2010, 79-89
2009Lajos Molnar, Werner Timmermann: A metric on the space of projections admitting nice isometries. In: Studia Math., 2009, 271-281
2009Lajos Molnar: Maps on positive operators preserving Lebesgue decompositions. In: Electron. J. Linear Algebra, 2009, 222-232
2009Lajos Molnar, Werner Timmermann: Maps on quantum states preserving the Jensen-Shannon divergence. In: J. Phys. A: Math. Gen., 2009, 015301
2009Lajos Molnar: Maps preserving the geometric mean of positive operators. In: Proc. Amer. Math. Soc., 2009, 1763-1770
2009Lajos Molnar: Maps preserving the harmonic mean or the parallel sum of positive operators. In: Linear Algebra Appl., 2009, 3058-3065
2007Lajos Molnar, Werner Timmermann: Mixture preserving maps on von Neumann algebra effects. In: Lett. Math. Phys., 2007, 295-302
2007Lajos Molnar: Selected Preserver Problems on Algebraic Structures of Linear Operators and on Function Spaces Series: Lecture Notes in Mathematics, Vol. 1895 . Springer Verlag, 2007
2006Lajos Molnar and Werner Timmermann: Transformations on the sets of states and density operators. In: Linear Algebra Appl., 2006, 75-84
2003Lajos Molnar and Endre Kovacs: An extension of a characterization of the automorphisms of Hilbert space effect algebras. In: Rep. Math. Phys. , 2003, 141-149
2003Lajos Molnar, Werner Timmermann: Isometries of quantum states. In: J. Phys. A: Math. Gen. , 2003, 267-273
2003Lajos Molnar and Matyas Barczy: Linear maps on the space of all bounded observables preserving maximal deviation. In: J. Funct. Anal. , 2003, 380-400
2003Lajos Molnar: Preservers on Hilbert space effects. In: Linear Algebra Appl. , 2003, 287-300
2003Lajos Molnar, Werner Timmermann: Preserving the measure of compatibility between quantum states. In: J. Math. Phys. , 2003, 969-973
2003Lajos Molnar: Sequential isomorphisms between the sets of von Neumann algebra effects. In: Acta Sci. Math. (Szeged), 2003, 755-772