Edit Profile (opens in new tab) Molnár, Lajos Compute Distance To: Compute Author ID: molnar.lajos Published as: Molnár, Lajos; Molnár, L.; Molnar, Lajos more...less Homepage: http://www.math.u-szeged.hu/%7Emolnarl/ External Links: MGP · dblp Documents Indexed: 165 Publications since 1990, including 1 Book Reviewing Activity: 128 Reviews Co-Authors: 32 Co-Authors with 62 Joint Publications 556 Co-Co-Authors all top 5 Co-Authors 102 single-authored 12 Šemrl, Peter 7 Timmermann, Werner 6 Nagy, Gergő 5 Hatori, Osamu 5 Szokol, Patrícia 4 Dolinar, Gregor 4 Virosztek, Dániel 4 Zalar, Borut 3 Botelho, Fernanda 3 Győry, Máté 2 Jamison, James Edward 2 Kovács, Endre 1 Barczy, Mátyás 1 Batty, Charles J. K. 1 Beneduci, Roberto 1 Brešar, Matej 1 Cabello Sánchez, Félix 1 Chabbabi, Fadil 1 Chen, Hongyi 1 Gaál, Marcell 1 Gehér, György Pál 1 Gyenti, Bálint 1 Hirasawa, Go 1 Liu, Chih-Neng 1 Mascioni, Vania 1 Mbekhta, Mostafa 1 Miura, Takeshi 1 Páles, Zsolt 1 Pitrik, József 1 Ramanantoanina, Andriamanankasina 1 Sourour, Ahmed Ramzi 1 Wong, Ngai-Ching all top 5 Serials 18 Linear Algebra and its Applications 16 Proceedings of the American Mathematical Society 12 Journal of Mathematical Analysis and Applications 7 Acta Scientiarum Mathematicarum 7 Archiv der Mathematik 6 Journal of Mathematical Physics 6 Letters in Mathematical Physics 6 Linear and Multilinear Algebra 5 Studia Mathematica 5 Journal of Functional Analysis 5 Publicationes Mathematicae Debrecen 4 Reports on Mathematical Physics 4 Integral Equations and Operator Theory 3 Bulletin of the Australian Mathematical Society 3 Communications in Mathematical Physics 3 International Journal of Theoretical Physics 3 Aequationes Mathematicae 3 Glasnik Matematički. Serija III 3 ELA. The Electronic Journal of Linear Algebra 2 Periodica Mathematica Hungarica 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Acta Mathematica Hungarica 2 Journal of Natural Geometry 2 The New York Journal of Mathematics 2 Abstract and Applied Analysis 2 Journal of Physics A: Mathematical and Theoretical 1 Houston Journal of Mathematics 1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Commentationes Mathematicae Universitatis Carolinae 1 Czechoslovak Mathematical Journal 1 Indian Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Mathematica Japonica 1 Mathematica Slovaca 1 Monatshefte für Mathematik 1 Tokyo Journal of Mathematics 1 Journal of Operator Theory 1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica 1 Radovi Matematički 1 Revista Matemática Iberoamericana 1 Mathematica Bohemica 1 Journal of the Australian Mathematical Society. Series A 1 Journal of Physics A: Mathematical and General 1 Expositiones Mathematicae 1 The Quarterly Journal of Mathematics 1 Central European Journal of Mathematics 1 Quantum Information Processing 1 Mediterranean Journal of Mathematics 1 Lecture Notes in Mathematics 1 Operators and Matrices all top 5 Fields 124 Operator theory (47-XX) 89 Functional analysis (46-XX) 29 Quantum theory (81-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 7 Associative rings and algebras (16-XX) 4 Abstract harmonic analysis (43-XX) 4 General topology (54-XX) 3 Real functions (26-XX) 3 Difference and functional equations (39-XX) 3 Probability theory and stochastic processes (60-XX) 2 Mathematical logic and foundations (03-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Group theory and generalizations (20-XX) 1 General algebraic systems (08-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 150 Publications have been cited 1,393 times in 672 Documents Cited by ▼ Year ▼ Selected preserver problems on algebraic structures of linear operators and on function spaces. Zbl 1119.47001Molnár, Lajos 103 2007 Some characterizations of the automorphisms of \(B(H)\) and \(C(X)\). Zbl 0983.47024Molnár, Lajos 82 2002 Orthogonality preserving transformations on indefinite inner product spaces: Generalization of Uhlhorn’s version of Wigner’s theorem. Zbl 1010.46023Molnár, Lajos 54 2002 A condition for a subspace of \({\mathcal B} (H)\) to be an ideal. Zbl 0852.46021Molnár, Lajos 42 1996 Isometries of the unitary groups and Thompson isometries of the spaces of invertible positive elements in \(C^\ast\)-algebras. Zbl 1306.46053Hatori, Osamu; Molnár, Lajos 38 2014 Order-automorphisms of the set of bounded observables. Zbl 1019.81005Molnár, Lajos 37 2001 Nonlinear commutativity preserving maps on self-adjoint operators. Zbl 1211.47075Molnár, Lajos; Šemrl, Peter 33 2005 Some linear preserver problems on upper triangular matrices. Zbl 0974.15001Molnár, Lajos; Šemrl, Peter 31 1998 Local automorphisms of operator algebras on Banach spaces. Zbl 1043.47030Molnár, Lajos 28 2003 Thompson isometries of the space of invertible positive operators. Zbl 1184.46021Molnár, Lajos 28 2009 Reflexivity of the group of surjective isometries on some Banach spaces. Zbl 0930.47015Molnár, Lajos; Zalar, Borut 24 1999 2-local isometries of some operator algebras. Zbl 1027.46062Molnár, Lajos 22 2002 On the standard K-loop structure of positive invertible elements in a \(C^\ast\)-algebra. Zbl 1308.46061Beneduci, Roberto; Molnár, Lajos 21 2014 Order automorphisms on positive definite operators and a few applications. Zbl 1220.47051Molnár, Lajos 20 2011 On isomorphisms of standard operator algebras. Zbl 1049.47503Molnár, Lajos 20 2000 Characterizations of the automorphisms of Hilbert space effect algebras. Zbl 1029.81008Molnár, Lajos 19 2001 Diameter preserving linear bijections of \(C(X)\). Zbl 0928.46034Györy, Máté; Molnár, Lajos 18 1998 Non-linear Jordan triple automorphisms of sets of self-adjoint matrices and operators. Zbl 1236.47031Molnár, Lajos 17 2006 Transformations on the set of all \(n\)-dimensional subspaces of a Hilbert space preserving principal angles. Zbl 1026.81006Molnár, Lajos 16 2001 An algebraic approach to Wigner’s unitary-antiunitary theorem. Zbl 0943.46033Molnár, Lajos 16 1998 Isometries and maps compatible with inverted Jordan triple products on groups. Zbl 1271.46010Hatori, Osamu; Hirasawa, Go; Miura, Takeshi; Molnár, Lajos 16 2012 Generalization of Wigner’s unitary-antiunitary theorem for indefinite inner product spaces. Zbl 0957.46016Molnár, Lajos 15 2000 Transformations of the unitary group on a Hilbert space. Zbl 1258.47056Molnár, Lajos; Šemrl, Peter 15 2012 Preservers on Hilbert space effects. Zbl 1040.47028Molnár, Lajos 15 2003 Maps preserving the geometric mean of positive operators. Zbl 1183.47032Molnár, Lajos 14 2009 General Mazur-Ulam type theorems and some applications. Zbl 1372.47048Molnár, Lajos 14 2015 Isometries of quantum states. Zbl 1047.81017Molnár, Lajos; Timmermann, Werner 14 2003 Reflexivity of the isometry group of some classical spaces. Zbl 1050.47028Cabello Sánchez, Félix; Molnár, Lajos 14 2002 The set of automorphisms of \(B(H)\) is topologically reflexive in \(B(B(H))\). Zbl 0871.47030Molnár, Lajos 13 1997 Transformations preserving norms of means of positive operators and nonnegative functions. Zbl 1354.47026Molnár, Lajos; Szokol, Patrícia 13 2015 Maps preserving the harmonic mean or the parallel sum of positive operators. Zbl 1182.47035Molnár, Lajos 13 2009 Surjective isometries on Grassmann spaces. Zbl 1301.47100Botelho, Fernanda; Jamison, James; Molnár, Lajos 13 2013 Multiplicative Jordan triple isomorphisms on the self-adjoint elements of von Neumann algebras. Zbl 1115.47034Molnár, Lajos 13 2006 Isometries of the unitary group. Zbl 1244.47032Hatori, Osamu; Molnár, Lajos 13 2012 Sequential isomorphisms between the sets of von Neumann algebra effects. Zbl 1049.46048Molnár, Lajos 12 2003 Two characterisations of additive *-automorphisms of \(B(H)\). Zbl 0879.46030Molnár, Lajos 12 1996 Maps on states preserving the relative entropy. II. Zbl 1187.47030Molnár, Lajos; Szokol, Patrícia 12 2010 Maps preserving general means of positive operators. Zbl 1276.47049Molnár, Lajos 12 2011 Maps on states preserving the relative entropy. Zbl 1153.81407Molnár, Lajos 12 2008 Elementary operators on standard operator algebras. Zbl 1033.47026Molnár, Lajos; Šemrl, Peter 11 2002 A generalization of Wigner’s unitary-antiunitary theorem to Hilbert modules. Zbl 0953.46030Molnár, Lajos 11 1999 Isometries and relative entropy preserving maps on density operators. Zbl 1241.47034Molnár, Lajos; Nagy, Gergő 11 2012 Jordan maps on standard operator algebras. Zbl 1004.46044Molnár, Lajos 11 2002 Transformations on positive definite matrices preserving generalized distance measures. Zbl 1310.15063Molnár, Lajos; Szokol, Patrícia 10 2015 Jordan triple endomorphisms and isometries of spaces of positive definite matrices. Zbl 1310.15062Molnár, Lajos 10 2015 The arithmetic, geometric and harmonic means in operator algebras and transformations among them. Zbl 1441.47048Molnár, Lajos 10 2017 Fidelity preserving maps on density operators. Zbl 1004.46037Molnár, Lajos 10 2001 Linear maps on the space of all bounded observables preserving maximal deviation. Zbl 1047.47029Molnár, Lajos; Barczy, Mátyás 10 2003 On topological reflexivity of the groups of \(^*\)-automorphisms and surjective isometries of \({\mathcal B}(H)\). Zbl 0866.47027Batty, Charles J. K.; Molnár, Lajos 9 1996 Linear bijections on von Neumann factors commuting with \(\lambda\)-Aluthge transform. Zbl 1336.47040Botelho, Fernanda; Molnár, Lajos; Nagy, Gergő 9 2016 Jordan triple endomorphisms and isometries of unitary groups. Zbl 1285.15016Molnár, Lajos 9 2013 \(\perp\)-order automorphisms of Hilbert space effect algebras: the two-dimensional case. Zbl 1025.47045Molnár, Lajos; Páles, Zsolt 9 2001 On some automorphisms of the set of effects on Hilbert space. Zbl 1072.81535Molnár, Lajos 9 2000 Maps on density operators preserving quantum \(f\)-divergences. Zbl 1270.81021Molnár, Lajos; Nagy, Gergő; Szokol, Patrícia 9 2013 Spectral order automorphisms of the spaces of Hilbert space effects and observables. Zbl 1138.47057Molnár, Lajos; Šemrl, Peter 9 2007 On centralizers of an \(H^*\)-algebra. Zbl 0860.46037Molnár, Lajos 8 1995 Maps on positive definite matrices preserving Bregman and Jensen divergences. Zbl 1336.15015Molnár, Lajos; Pitrik, József; Virosztek, Dániel 8 2016 A remark on the Kochen-Specker theorem and some characterizations of the determinant on sets of Hermitian matrices. Zbl 1094.15010Molnár, Lajos 8 2006 Continuous Jordan triple endomorphisms of \(\mathbb{P}_2\). Zbl 1334.15089Molnár, Lajos; Virosztek, Dániel 7 2016 Some multiplicative preservers on \(B(H)\). Zbl 0974.47031Molnár, Lajos 7 1999 Wigner-type theorem on symmetry transformations in type II factors. Zbl 1090.46510Molnár, Lajos 7 2000 Jordan *-derivation pairs on a complex *-algebra. Zbl 0887.16021Molnár, L. 7 1997 Quantum Rényi relative entropies on density spaces of \(C^\ast\)-algebras: their symmetries and their essential difference. Zbl 1436.46050Molnár, Lajos 7 2019 Maps on the positive definite cone of a \(C^\ast\)-algebra preserving certain quasi-entropies. Zbl 1387.47021Molnár, Lajos 6 2017 Elementary operators. II. Zbl 0973.47028Brešar, Matej; Molnár, Lajos; Šemrl, Peter 6 2000 Local automorphisms of the unitary group and the general linear group on a Hilbert space. Zbl 0963.46044Molnár, Lajos; Šemrl, Peter 6 2000 Some linear preserver problems on \(B(H)\) concerning rank and corank. Zbl 0963.47028Molnár, Lajos 6 1999 On local automorphisms of group algebras of compact groups. Zbl 0930.43002Molnár, Lajos; Zalar, Borut 6 2000 Thompson isometries on positive operators: the 2-dimensional case. Zbl 1195.46017Molnar, Lajos; Nagy, Gergo 6 2010 Maps on the \(n\)-dimensional subspaces of a Hilbert space preserving principal angles. Zbl 1143.47025Molnár, Lajos 6 2008 Isometries of the space of distribution functions with respect to the Kolmogorov-Smirnov metric. Zbl 1162.46305Dolinar, Gregor; Molnár, Lajos 6 2008 Linear maps on matrices preserving commutativity up to a factor. Zbl 1160.15004Molnár, Lajos 6 2009 Maps on quantum observables preserving the Gudder order. Zbl 1131.81010Dolinar, Gregor; Molnár, Lajos 6 2007 Local Jordan \(^*\)-derivations of standard operator algebras. Zbl 0861.47020Molnár, Lajos; Šemrl, Peter 5 1997 Transformations on density operators that leave the Holevo bound invariant. Zbl 1302.81048Molnár, Lajos; Nagy, Gergö 5 2014 Linear maps on factors which preserve the extreme points of the unit ball. Zbl 0919.47024Mascioni, Vania; Molnár, Lajos 5 1998 Linear maps on observables in von Neumann algebras preserving the maximal deviation. Zbl 1189.47036Molnár, Lajos 5 2010 On 2-local *-automorphisms and 2-local isometries of \(\mathscr{B}(H)\). Zbl 07096850Molnár, Lajos 5 2019 Maps on quantum states preserving the Jensen-Shannon divergence. Zbl 1156.81349Molnár, Lajos; Timmermann, Werner 5 2009 On certain automorphisms of sets of partial isometries. Zbl 1037.47025Molnár, Lajos 5 2002 Wigner’s unitary-antiunitary theorem via Herstein’s theorem on Jordan homomorphisms. Zbl 0858.46019Molnár, Lajos 4 1996 On algebraic endomorphisms of the Einstein gyrogroup. Zbl 1325.83002Molnár, Lajos; Virosztek, Dániel 4 2015 Reflexivity of the automorphism and isometry groups of the suspension of \({\mathcal B}({\mathcal H})\). Zbl 0933.46064Molnár, Lajos; Győry, Máté 4 1998 The range of a Jordan *-derivation. Zbl 0886.47019Molnár, Lajos 4 1996 Local automorphisms of some quantum mechanical structures. Zbl 1002.46044Molnár, Lajos 4 2001 Linear rank and corank preserving maps on \({\mathcal B}(H)\) and an application to \(^*\)-semigroup isomorphisms of operator ideals. Zbl 0940.46012Györy, Máté; Molnár, Lajos; Šemrl, Peter 4 1998 Maps on positive cones in operator algebras preserving power means. Zbl 07229524Molnár, Lajos 4 2020 Bures isometries between density spaces of \(C^{\ast}\)-algebras. Zbl 06946326Molnár, Lajos 4 2018 Characterizations of Jordan \(^*\)-isomorphisms of \(C^*\)-algebras by weighted geometric mean related operations and quantities. Zbl 1452.46049Chabbabi, Fadil; Mbekhta, Mostafa; Molnár, Lajos 4 2020 Jordan isomorphisms as preservers. Zbl 1460.47018Molnár, Lajos 4 2020 On local automorphisms of some quantum mechanical structures of Hilbert space operators. Zbl 07333611Gyenti, Bálint; Molnár, Lajos 3 2020 \(p\)-classes of an \(H^*\)-algebra and their representations. Zbl 0811.46056Molnár, Lajos 3 1993 On the range of a normal Jordan \(^*\)-derivation. Zbl 0821.47028Molnár, Lajos 3 1994 Lévy isometries of the space of probability distribution functions. Zbl 1229.46019Molnár, Lajos 3 2011 On automatic surjectivity of Jordan homomorphisms. Zbl 0842.46046Molnár, Lajos; Zalar, Borut 3 1995 Conditionally multiplicative maps on the set of all bounded observables preserving compatibility. Zbl 0998.81002Molnár, Lajos 3 2002 Spectral conditions for Jordan *-isomorphisms on operator algebras. Zbl 1373.47039Hatori, Osamu; Molnár, Lajos 3 2017 Transformations on density operators and on positive definite operators preserving the quantum Rényi divergence. Zbl 1399.47108Gaál, M.; Molnár, L. 3 2017 The logarithmic function and trace zero elements in finite von Neumann factors. Zbl 1368.46051Molnár, Lajos 3 2016 Algebraic reflexivity of isometry groups and automorphism groups of some operator structures. Zbl 1306.47080Botelho, Fernanda; Jamison, James; Molnár, Lajos 3 2013 On functional representations of positive Hilbert space operators. Zbl 1481.47056Molnár, Lajos; Ramanantoanina, Andriamanankasina 2 2021 On preservers related to the spectral geometric mean. Zbl 07311327Li, Lei; Molnár, Lajos; Wang, Liguang 2 2021 On dissimilarities of the conventional and Kubo-Ando power means in operator algebras. Zbl 1482.46060Molnár, Lajos 1 2021 Maps on positive cones in operator algebras preserving power means. Zbl 07229524Molnár, Lajos 4 2020 Characterizations of Jordan \(^*\)-isomorphisms of \(C^*\)-algebras by weighted geometric mean related operations and quantities. Zbl 1452.46049Chabbabi, Fadil; Mbekhta, Mostafa; Molnár, Lajos 4 2020 Jordan isomorphisms as preservers. Zbl 1460.47018Molnár, Lajos 4 2020 On local automorphisms of some quantum mechanical structures of Hilbert space operators. Zbl 07333611Gyenti, Bálint; Molnár, Lajos 3 2020 Spectral characterization of Jordan-Segal isomorphisms of quantum observables. Zbl 07157321Molnár, Lajos 3 2020 Quantum Rényi relative entropies on density spaces of \(C^\ast\)-algebras: their symmetries and their essential difference. Zbl 1436.46050Molnár, Lajos 7 2019 On 2-local *-automorphisms and 2-local isometries of \(\mathscr{B}(H)\). Zbl 07096850Molnár, Lajos 5 2019 Characterizations of certain means of positive operators. Zbl 1437.26039Molnár, Lajos 2 2019 Bures isometries between density spaces of \(C^{\ast}\)-algebras. Zbl 06946326Molnár, Lajos 4 2018 Maps between the positive definite cones of operator algebras preserving a norm of a geodesic correspondence. Zbl 1424.47093Molnár, Lajos 3 2018 Busch-Gudder metric on the cone of positive semidefinite operators and its isometries. Zbl 06882307Molnár, Lajos 2 2018 The arithmetic, geometric and harmonic means in operator algebras and transformations among them. Zbl 1441.47048Molnár, Lajos 10 2017 Maps on the positive definite cone of a \(C^\ast\)-algebra preserving certain quasi-entropies. Zbl 1387.47021Molnár, Lajos 6 2017 Spectral conditions for Jordan *-isomorphisms on operator algebras. Zbl 1373.47039Hatori, Osamu; Molnár, Lajos 3 2017 Transformations on density operators and on positive definite operators preserving the quantum Rényi divergence. Zbl 1399.47108Gaál, M.; Molnár, L. 3 2017 A charcaterisation of central elements in \(C^\ast\)-algebras. Zbl 1373.46050Molnár, Lajos 2 2017 Maps on positive definite operators preserving the quantum \(\chi_\alpha ^2\)-divergence. Zbl 06814930Chen, Hong-Yi; Gehér, György Pál; Liu, Chih-Neng; Molnár, Lajos; Virosztek, Dániel; Wong, Ngai-Ching 2 2017 On the surjectivity of generalized isometries on the positive definite cone of matrices. Zbl 06803982Molnár, Lajos 1 2017 Linear bijections on von Neumann factors commuting with \(\lambda\)-Aluthge transform. Zbl 1336.47040Botelho, Fernanda; Molnár, Lajos; Nagy, Gergő 9 2016 Maps on positive definite matrices preserving Bregman and Jensen divergences. Zbl 1336.15015Molnár, Lajos; Pitrik, József; Virosztek, Dániel 8 2016 Continuous Jordan triple endomorphisms of \(\mathbb{P}_2\). Zbl 1334.15089Molnár, Lajos; Virosztek, Dániel 7 2016 The logarithmic function and trace zero elements in finite von Neumann factors. Zbl 1368.46051Molnár, Lajos 3 2016 Spectral order automorphisms on Hilbert space effects and observables: the 2-dimensional case. Zbl 1338.47125Molnár, Lajos; Nagy, Gergő 2 2016 Generalized isometries of the special unitary group. Zbl 1342.15018Hatori, Osamu; Molnár, Lajos 2 2016 General Mazur-Ulam type theorems and some applications. Zbl 1372.47048Molnár, Lajos 14 2015 Transformations preserving norms of means of positive operators and nonnegative functions. Zbl 1354.47026Molnár, Lajos; Szokol, Patrícia 13 2015 Transformations on positive definite matrices preserving generalized distance measures. Zbl 1310.15063Molnár, Lajos; Szokol, Patrícia 10 2015 Jordan triple endomorphisms and isometries of spaces of positive definite matrices. Zbl 1310.15062Molnár, Lajos 10 2015 On algebraic endomorphisms of the Einstein gyrogroup. Zbl 1325.83002Molnár, Lajos; Virosztek, Dániel 4 2015 Bilocal automorphisms. Zbl 1390.46056Molnár, Lajos; Šemrl, Peter; Sourour, Ahmed Ramzi 3 2015 Two characterizations of unitary-antiunitary similarity transformations of positive definite operators on a finite dimensional Hilbert space. Zbl 1363.47074Molnár, Lajos 2 2015 On the nonexistence of order isomorphisms between the sets of all self-adjoint and all positive definite operators. Zbl 1470.46013Molnár, Lajos 1 2015 Isometries of the unitary groups and Thompson isometries of the spaces of invertible positive elements in \(C^\ast\)-algebras. Zbl 1306.46053Hatori, Osamu; Molnár, Lajos 38 2014 On the standard K-loop structure of positive invertible elements in a \(C^\ast\)-algebra. Zbl 1308.46061Beneduci, Roberto; Molnár, Lajos 21 2014 Transformations on density operators that leave the Holevo bound invariant. Zbl 1302.81048Molnár, Lajos; Nagy, Gergö 5 2014 Bilocal \(^\ast\)-automorphisms of \(B(H)\). Zbl 1303.47052Molnár, Lajos 3 2014 A few conditions for a \(C^*\)-algebra to be commutative. Zbl 1474.46112Molnár, Lajos 2 2014 Kolmogorov-Smirnov isometries of the space of generalized distribution functions. Zbl 1349.47047Molnár, Lajos; Szokol, Patrícia 1 2014 Surjective isometries on Grassmann spaces. Zbl 1301.47100Botelho, Fernanda; Jamison, James; Molnár, Lajos 13 2013 Jordan triple endomorphisms and isometries of unitary groups. Zbl 1285.15016Molnár, Lajos 9 2013 Maps on density operators preserving quantum \(f\)-divergences. Zbl 1270.81021Molnár, Lajos; Nagy, Gergő; Szokol, Patrícia 9 2013 Algebraic reflexivity of isometry groups and automorphism groups of some operator structures. Zbl 1306.47080Botelho, Fernanda; Jamison, James; Molnár, Lajos 3 2013 Automorphisms for the logarithmic product of positive semidefinite operators. Zbl 1263.47047Dolinar, Gregor; Molnár, Lajos 2 2013 Isometries and maps compatible with inverted Jordan triple products on groups. Zbl 1271.46010Hatori, Osamu; Hirasawa, Go; Miura, Takeshi; Molnár, Lajos 16 2012 Transformations of the unitary group on a Hilbert space. Zbl 1258.47056Molnár, Lajos; Šemrl, Peter 15 2012 Isometries of the unitary group. Zbl 1244.47032Hatori, Osamu; Molnár, Lajos 13 2012 Isometries and relative entropy preserving maps on density operators. Zbl 1241.47034Molnár, Lajos; Nagy, Gergő 11 2012 Sequential endomorphisms of finite-dimensional Hilbert space effect algebras. Zbl 1235.81008Dolinar, Gregor; Molnár, Lajos 1 2012 Order automorphisms on positive definite operators and a few applications. Zbl 1220.47051Molnár, Lajos 20 2011 Maps preserving general means of positive operators. Zbl 1276.47049Molnár, Lajos 12 2011 Lévy isometries of the space of probability distribution functions. Zbl 1229.46019Molnár, Lajos 3 2011 Transformations on bounded observables preserving measure of compatibility. Zbl 1243.81079Molnár, Lajos; Timmermann, Werner 3 2011 Kolmogorov-Smirnov isometries and affine automorphisms of spaces of distribution functions. Zbl 1239.46022Molnár, Lajos 2 2011 Continuous maps on matrices transforming geometric mean to arithmetic mean. Zbl 1229.47055Molnár, Lajos 1 2011 Maps on states preserving the relative entropy. II. Zbl 1187.47030Molnár, Lajos; Szokol, Patrícia 12 2010 Thompson isometries on positive operators: the 2-dimensional case. Zbl 1195.46017Molnar, Lajos; Nagy, Gergo 6 2010 Linear maps on observables in von Neumann algebras preserving the maximal deviation. Zbl 1189.47036Molnár, Lajos 5 2010 Thompson isometries of the space of invertible positive operators. Zbl 1184.46021Molnár, Lajos 28 2009 Maps preserving the geometric mean of positive operators. Zbl 1183.47032Molnár, Lajos 14 2009 Maps preserving the harmonic mean or the parallel sum of positive operators. Zbl 1182.47035Molnár, Lajos 13 2009 Linear maps on matrices preserving commutativity up to a factor. Zbl 1160.15004Molnár, Lajos 6 2009 Maps on quantum states preserving the Jensen-Shannon divergence. Zbl 1156.81349Molnár, Lajos; Timmermann, Werner 5 2009 Maps on positive operators preserving Lebesgue decompositions. Zbl 1181.47040Molnár, Lajos 1 2009 A metric on the space of projections admitting nice isometries. Zbl 1168.47030Molnár, Lajos; Timmermann, Werner 1 2009 Maps on states preserving the relative entropy. Zbl 1153.81407Molnár, Lajos 12 2008 Maps on the \(n\)-dimensional subspaces of a Hilbert space preserving principal angles. Zbl 1143.47025Molnár, Lajos 6 2008 Isometries of the space of distribution functions with respect to the Kolmogorov-Smirnov metric. Zbl 1162.46305Dolinar, Gregor; Molnár, Lajos 6 2008 Isometries of the spaces of bounded frame functions. Zbl 1135.47034Molnár, Lajos 1 2008 Selected preserver problems on algebraic structures of linear operators and on function spaces. Zbl 1119.47001Molnár, Lajos 103 2007 Spectral order automorphisms of the spaces of Hilbert space effects and observables. Zbl 1138.47057Molnár, Lajos; Šemrl, Peter 9 2007 Maps on quantum observables preserving the Gudder order. Zbl 1131.81010Dolinar, Gregor; Molnár, Lajos 6 2007 Elementary operators on self-adjoint operators. Zbl 1117.47024Molnár, Lajos; Šemrl, Peter 2 2007 Mixture preserving maps on von Neumann algebra effects. Zbl 1130.46037Molnár, Lajos; Timmermann, Werner 1 2007 Non-linear Jordan triple automorphisms of sets of self-adjoint matrices and operators. Zbl 1236.47031Molnár, Lajos 17 2006 Multiplicative Jordan triple isomorphisms on the self-adjoint elements of von Neumann algebras. Zbl 1115.47034Molnár, Lajos 13 2006 A remark on the Kochen-Specker theorem and some characterizations of the determinant on sets of Hermitian matrices. Zbl 1094.15010Molnár, Lajos 8 2006 Nonlinear commutativity preserving maps on self-adjoint operators. Zbl 1211.47075Molnár, Lajos; Šemrl, Peter 33 2005 Preserving some numerical correspondences between Hilbert space effects. Zbl 1100.47032Kovács, Endre; Molnár, Lajos 2 2004 Local automorphisms of operator algebras on Banach spaces. Zbl 1043.47030Molnár, Lajos 28 2003 Preservers on Hilbert space effects. Zbl 1040.47028Molnár, Lajos 15 2003 Isometries of quantum states. Zbl 1047.81017Molnár, Lajos; Timmermann, Werner 14 2003 Sequential isomorphisms between the sets of von Neumann algebra effects. Zbl 1049.46048Molnár, Lajos 12 2003 Linear maps on the space of all bounded observables preserving maximal deviation. Zbl 1047.47029Molnár, Lajos; Barczy, Mátyás 10 2003 Preserving the measure of compatibility between quantum states. Zbl 1061.81001Molnár, Lajos; Timmermann, Werner 3 2003 An extension of a characterization of the automorphisms of Hilbert space effect algebras. Zbl 1052.81007Molnár, Lajos; Kovács, Endre 2 2003 Some characterizations of the automorphisms of \(B(H)\) and \(C(X)\). Zbl 0983.47024Molnár, Lajos 82 2002 Orthogonality preserving transformations on indefinite inner product spaces: Generalization of Uhlhorn’s version of Wigner’s theorem. Zbl 1010.46023Molnár, Lajos 54 2002 2-local isometries of some operator algebras. Zbl 1027.46062Molnár, Lajos 22 2002 Reflexivity of the isometry group of some classical spaces. Zbl 1050.47028Cabello Sánchez, Félix; Molnár, Lajos 14 2002 Elementary operators on standard operator algebras. Zbl 1033.47026Molnár, Lajos; Šemrl, Peter 11 2002 Jordan maps on standard operator algebras. Zbl 1004.46044Molnár, Lajos 11 2002 On certain automorphisms of sets of partial isometries. Zbl 1037.47025Molnár, Lajos 5 2002 Conditionally multiplicative maps on the set of all bounded observables preserving compatibility. Zbl 0998.81002Molnár, Lajos 3 2002 Order-automorphisms of the set of bounded observables. Zbl 1019.81005Molnár, Lajos 37 2001 Characterizations of the automorphisms of Hilbert space effect algebras. Zbl 1029.81008Molnár, Lajos 19 2001 Transformations on the set of all \(n\)-dimensional subspaces of a Hilbert space preserving principal angles. Zbl 1026.81006Molnár, Lajos 16 2001 Fidelity preserving maps on density operators. Zbl 1004.46037Molnár, Lajos 10 2001 ...and 50 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 494 Authors 85 Molnár, Lajos 31 Hou, Jinchuan 26 Lu, Fangyan 25 Peralta, Antonio M. 24 Taghavi Jelodar, Ali 22 Šemrl, Peter 19 Nagy, Gergő 18 Hatori, Osamu 15 Jiménez-Vargas, Antonio 14 Hosseini, Maliheh 13 Virosztek, Dániel 12 Fošner, Ajda 12 Gaál, Marcell 12 Hamhalter, Jan 12 Li, Chi-Kwong 12 Sady, Fereshteh 11 Gehér, György Pál 11 Qi, Xiaofei 10 Cui, Jianlian 10 Li, Changjing 9 Bourhim, Abdellatif 9 Fang, Xiaochun 9 Kuzma, Bojan 8 Darvish, Vahid 8 Ilišević, Dijana 8 Miura, Takeshi 8 Szokol, Patrícia 8 Xu, Jinli 7 Burgos, María J. 7 Chabbabi, Fadil 7 Li, Pengtong 7 Razeghi, Mehran 7 Sze, Nung-Sing 7 Tan, Dongni 7 Turnšek, Aleksej 7 Villegas-Vallecillos, Moisés 7 Zheng, Baodong 6 Bendaoud, Mohamed 6 Chooi, Wai-Leong 6 Dolinar, Gregor 6 Font, Juan J. 6 Huang, XuJian 6 Liu, Cheng-Kai 6 Mashreghi, Javad 6 Mbekhta, Mostafa 6 Pankov, Mark 6 Roelands, Mark 6 Turilova, Ekaterina A. 6 Zhang, Jianhua 5 Abe, Toshikazu 5 Bai, Zhaofang 5 Botelho, Fernanda 5 El Abidine Abdelali, Zine 5 Fernández-Polo, Francisco J. 5 Garcés, Jorge José 5 Guterman, Alexander Èmilevich 5 Lemmens, Bas 5 Nouri, Mojtaba 5 Tanaka, Ryotaro 5 Wang, Yu 4 Bohata, Martin 4 Brešar, Matej 4 Cabello Sánchez, Félix 4 Chen, Lin 4 Dong, Yunbai 4 Du, Hongke 4 Du, Shuanping 4 Essaleh, Ahlem Ben Ali 4 He, Kan 4 Hosseinzadeh, Roja 4 Jamison, James Edward 4 Jing, Wu 4 Kołodziejek, Bartosz 4 Kudaĭbergenov, Karimbergen Kadirbergenovich 4 Leung, Chi-Wai 4 Lim, Ming-Huat 4 Marovt, Janko 4 Mori, Michiya 4 Moslehian, Mohammad Sal 4 Oi, Shiho 4 Rao, T. S. S. R. K. 4 Sarih, Mustapha 4 Shindo, Rumi 4 Timmermann, Werner 4 Walsh, Cormac 4 Wang, Liguang 4 Wong, Ngai-Ching 4 Wortel, Marten 3 Alaminos, Jerónimo 3 An, Runling 3 Araujo, Jesús 3 Ashraf, Mohammad 3 Brits, Rudi M. 3 Chan, Jorting 3 Chen, Chaoqun 3 Chen, Quanyuan 3 Extremera, José 3 Fošner, Maja 3 Győry, Máté 3 Hirasawa, Go ...and 394 more Authors all top 5 Cited in 123 Serials 128 Linear Algebra and its Applications 80 Journal of Mathematical Analysis and Applications 50 Linear and Multilinear Algebra 27 Proceedings of the American Mathematical Society 17 Journal of Mathematical Physics 16 Aequationes Mathematicae 13 Integral Equations and Operator Theory 13 Acta Mathematica Sinica. 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Series B 1 Journal of Theoretical Probability 1 Publicacions Matemàtiques 1 Science in China. Series A 1 Differential Geometry and its Applications 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Expositiones Mathematicae 1 The Journal of Analysis 1 Applied Mathematics. Series B (English Edition) 1 Applied and Computational Harmonic Analysis 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 The Electronic Journal of Combinatorics 1 ELA. The Electronic Journal of Linear Algebra 1 Geometry & Topology 1 Mathematica Moravica 1 Matematicheskie Trudy 1 New Journal of Physics 1 Annales Henri Poincaré 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series ...and 23 more Serials all top 5 Cited in 39 Fields 429 Operator theory (47-XX) 343 Functional analysis (46-XX) 113 Linear and multilinear algebra; matrix theory (15-XX) 73 Quantum theory (81-XX) 65 Associative rings and algebras (16-XX) 25 Nonassociative rings and algebras (17-XX) 18 Difference and functional equations (39-XX) 17 General topology (54-XX) 12 Differential geometry (53-XX) 11 Geometry (51-XX) 10 Order, lattices, ordered algebraic structures (06-XX) 10 Information and communication theory, circuits (94-XX) 7 Group theory and generalizations (20-XX) 6 Algebraic geometry (14-XX) 5 Topological groups, Lie groups (22-XX) 5 Real functions (26-XX) 5 Convex and discrete geometry (52-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Combinatorics (05-XX) 4 Statistics (62-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Relativity and gravitational theory (83-XX) 2 Measure and integration (28-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Biology and other natural sciences (92-XX) Citations by Year