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Research Article

Nonlinear maps preserving semi-Fredholm operators with bounded nullity

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Pages 1415-1421 | Received 23 Jun 2021, Published online: 02 Jun 2022

References

  • T. Aghasizadeh and S. Hejazian, Maps preserving semi-Fredholm operators on Hilbert C*-modules, J. Math. Anal. Appl. 354 (2009), 625–629. doi: 10.1016/j.jmaa.2009.01.032
  • L. Beasley, Linear transformations which preserve fixed rank, Linear Algebra Appl. 40 (1981), 183–187. doi: 10.1016/0024-3795(81)90148-8
  • A. Bourhim, J. Mashreghi, and A. Stepanyan, Nonlinear maps preserving the minimum and surjectivity moduli, Linear Algebra Appl. 463 (2014), 171–189. doi: 10.1016/j.laa.2014.09.002
  • X.H. Cao and S. Chen, Linear maps between operator algebras preserving certain spectral functions, Banach J. Math. Anal. 8 (2014), 39–46. doi: 10.15352/bjma/1381782085
  • F. Chabbabi and M. Mbekhta, Nonlinear maps commuting with the -Aluthge transform under (n, m)-Jordan-triple product, Linear Multilinear Algebra 67 (2019), 2382–2398. doi: 10.1080/03081087.2018.1492514
  • C. Costara and D. Repovš, Nonlinear mappings preserving at least one eigenvalue, Studia Math. 200(1) (2010), 79–89. doi: 10.4064/sm200-1-5
  • H. Havlicek and P. Šemrl, From geometry to invertibility preservers, Studia Math. 174 (2006), 99–109. doi: 10.4064/sm174-1-8
  • J. Hou and J. Cui, Additive maps on standard operator algebras preserving invertibilities or zero divisors, Linear Algebra Appl. 359 (2003), 219–233. doi: 10.1016/S0024-3795(02)00419-6
  • J. Hou and L. Huang, Characterizing isomorphisms in terms of completely preserving invertibility or spectrum, J. Math. Anal. Appl. 359 (2009), 81–87. doi: 10.1016/j.jmaa.2009.05.041
  • L.K. Hua, A theorem on matrices over a field and its applications, Acta Math. Sin.(Engl. Ser.) 1 (1951), 109–163.
  • G.X. Ji and Y.L. Gao, Maps preserving operator pairs whose products are projections, Linear Algebra Appl. 433 (2010), 1348–1364. doi: 10.1016/j.laa.2010.05.014
  • M. Mbekhta and M. Oudghiri, On additive maps preserving certain semi-Fredholm subsets, Linear Multilinear Algebra 61(7) (2013), 1010–1016. doi: 10.1080/03081087.2012.721364
  • M. Omladic and P. Šemrl, Additive mappings preserving operators of rank one, Linear Algebra Appl. 182 (1993), 239–256 doi: 10.1016/0024-3795(93)90502-F
  • M. Oudghiri and K. Souilah, Nonlinear maps preserving Drazin invertible operators of bounded index, Quaest. Math. 43(3) (2020), 309–320. doi: 10.2989/16073606.2019.1573766
  • T. Petek and P. Šemrl, Adjacency preserving maps on matrices and operators, Proc. Roy. Soc. Edinburgh 132A (2002), 661–684. doi: 10.1017/S0308210500001839
  • W.J. Shi and G.X. Ji, Additive maps preserving semi-Fredholm operators with bounded ascent on B(X ), Publ. Math. 96(3–4) (2020), 259–279.

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