Preservers for the -Norm of Linear Combinations of Positive Operators

作者: Gergő Nagy

DOI: 10.1155/2014/434121

关键词:

摘要: … The characterization of preserver transformations for a quantity assigned to tuples of … main types of preserver problems. The related investigations concern a huge amount of problems, a …

参考文章(13)
Lajos Molnár, Werner Timmermann, Maps on quantum states preserving the Jensen Shannon divergence Journal of Physics A. ,vol. 42, pp. 015301- ,(2009) , 10.1088/1751-8113/42/1/015301
Long Jian, Kan He, Qing Yuan, Fei Wang, On Partially Trace Distance Preserving Maps and Reversible Quantum Channels Journal of Applied Mathematics. ,vol. 2013, pp. 1- 5 ,(2013) , 10.1155/2013/474291
Gergő Nagy, Commutativity preserving maps on quantum states Reports on Mathematical Physics. ,vol. 63, pp. 447- 464 ,(2009) , 10.1016/S0034-4877(09)90016-7
G. A. Raggio, Properties of q‐entropies Journal of Mathematical Physics. ,vol. 36, pp. 4785- 4791 ,(1995) , 10.1063/1.530920
Theagenis J. Abatzoglou, Norm Derivatives on Spaces of Operators. Mathematische Annalen. ,vol. 239, pp. 129- 135 ,(1979) , 10.1007/BF01420370
Lajos Moln r, Werner Timmermann, Isometries of quantum states Journal of Physics A. ,vol. 36, pp. 267- 273 ,(2003) , 10.1088/0305-4470/36/1/318
Thomas Tonev, Rebekah Yates, Norm-linear and norm-additive operators between uniform algebras Journal of Mathematical Analysis and Applications. ,vol. 357, pp. 45- 53 ,(2009) , 10.1016/J.JMAA.2009.03.039
Lajos Molnár, Gergő Nagy, Isometries and relative entropy preserving maps on density operators Linear & Multilinear Algebra. ,vol. 60, pp. 93- 108 ,(2012) , 10.1080/03081087.2011.570267
David Li-Wei Kuo, Ming-Cheng Tsai, Ngai-Ching Wong, Jun Zhang, Maps Preserving Schatten $p$-Norms of Convex Combinations Abstract and Applied Analysis. ,vol. 2014, pp. 1- 5 ,(2014) , 10.1155/2014/520795