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Linear and Multilinear Algebra Volume 67, 2019 - Issue 12
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Articles

Nonlinear maps commuting with the λ-Aluthge transform under (n,m)–Jordan-triple product

Fadil ChabbabiUFR de Mathématiques, Informatique, Management, Economie (M.I.M.E.), Université de Lille 3, Villeneuve d'Ascq Cedex, FranceView further author information
&
Mostafa MbekhtaUFR de Mathématiques, Laboratoire CNRS-UMR, Université de Lille 1, Villeneuve d'Ascq Cedex, FranceCorrespondence[email protected]
[email protected]
View further author information
Pages 2382-2398 | Received 16 Feb 2018, Accepted 06 Jun 2018, Published online: 30 Jul 2018

References

  • Okubo K. On weakly unitarily invariant norm and the Aluthge transformation. Linear Algebra Appl. 2003;371:369–375. doi: 10.1016/S0024-3795(03)00485-3
  • Aluthge A. On p-hyponormal operators for 0<p<1. Integr Equ Oper Theory. 1990;13:307–315. doi: 10.1007/BF01199886
  • Ando T, Yamazaki T. The iterated Aluthge transforms of a 2-by-2 matrix converge. Linear Algebra Appl. 2003;375:299–309. doi: 10.1016/j.laa.2003.06.002
  • Antezana J, Massey P, Stojanoff D. λ-Aluthge transforms and Schatten ideals. Linear Algebra Appl. 2005;405:177–199. doi: 10.1016/j.laa.2005.03.016
  • Antezana J, Pujals ER, Stojanoff D. The iterated Aluthge transforms of a matrix converge. Adv Math. 2011;226:1591–1620. doi: 10.1016/j.aim.2010.08.012
  • Jung IB, Ko E, Pearcy C. Aluthge transform of operators. Integr Equ Oper Theory. 2000;37:437–448. doi: 10.1007/BF01192831
  • Jung IB, Ko E, Pearcy C. Spectral pictures of Aluthge transforms of operators. Integr Equ Oper Theory. 2001;40:52–60. doi: 10.1007/BF01202954
  • Jung IB, Ko E, Pearcy C. The iterated Aluthge transform of an operator. Integr Equ Oper Theory. 2003;45:375–387. doi: 10.1007/s000200300012
  • Botelho F, Molnár L, Nagy G. Linear bijections on von Neumann factors commuting with λ-Aluthge transform. Bull Lond Math Soc. 2016;48(1):74–84. doi: 10.1112/blms/bdv092
  • Chabbabi F. Product commuting maps with the λ-Aluthge transform. J Math Anal Appl. 2017;449:589–600. doi: 10.1016/j.jmaa.2016.12.027
  • Chabbabi F, Mbekhta M. Jordan product maps commuting with the λ-Aluthge transform. J Math Anal Appl. 2017;450:293–313. doi: 10.1016/j.jmaa.2017.01.036
  • Huang L, Hou J. Maps preserving spectral functions of operator products. Chinese Ann Math Ser A. 2007;28:769–780.
  • Lu F. Jordan triple maps. Linear Algebra Appl. 2003;375:311–317. doi: 10.1016/j.laa.2003.06.004
  • Molnár L. On isomorphisms of standard operator algebras. Studia Math. 2000;142:295–302. doi: 10.4064/sm-142-3-295-302
  • Zhang W, Hou J-C. Maps preserving peripheral spectrum of Jordan semi-triple products of operators. Linear Algebra Appl. 2011;435:1326–1335. doi: 10.1016/j.laa.2011.03.008
  • Garcia SR. Aluthge transforms of complex symmetric operators. Integr Equ Oper Theory. 2008;60:357–367. doi: 10.1007/s00020-008-1564-y
  • Chabbabi F, Mbekhta M. General product nonlinear maps commuting with the λ-Aluthge transform. Mediterr J Math. 2017;14:10. Art. 42. doi: 10.1007/s00009-017-0860-7
  • Šemrl P. Invertibility preserving linear maps and algebraic reflexivity of elementary operators of length one. Proc Amer Math Soc. 2001;130:769–772. doi: 10.1090/S0002-9939-01-06177-9

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