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Linear and Multilinear Algebra Volume 59, 2011 - Issue 5
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Original Articles

Distance preserving maps of nest algebras

Zhaofang Bai School of Mathematical Sciences, Xiamen University, Xiamen 361005, P.R. China
,
Jinchuan Hou Department of Mathematics, Taiyuan University of Technology, Taiyuan 030024, P.R. China; Department of Mathematics, Shanxi Normal University, Linfen 041004, P.R. China
&
Shuanping Du School of Mathematical Sciences, Xiamen University, Xiamen 361005, P.R. ChinaCorrespondence[email protected]
Pages 571-594 | Received 19 Oct 2009, Accepted 19 Feb 2010, Published online: 15 Mar 2011

References

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  • Bai , ZF , Hou , JC and Du , SP . 2010 . Additive maps preserving rank-one operators on nest algebras . Linear Multilinear Algebra , 58 : 269 – 283 .
  • Dang , T . 1992 . Real isometries between JB*-triples . Proc. AMS. , 144 : 971 – 980 .
  • Kadison , RV . 1951 . Isometries of operator algebras . Ann. Math. , 54 : 325 – 338 .
  • R.V. Kadison and J.R. Ringrose, Fundamentals of the Theory of Operator Algebras, Vol. I, Academic Press, New York, 1983; Vol. II, Academic Press, New York, 1986.
  • Longstaff , JR . 1975 . Strongly reflexive lattices . J. London Math. Soc. , 11 : 491 – 498 .
  • Mazur , S and Ulam , S . 1932 . Sur les transformations isomėtriques d′espaces vectoriels normės . C. R. Acad. Sci. Paris , 194 : 946 – 948 .
  • Moore , RL and Trent , TT . 1989 . Isometries on nest algebras . J. Funct. Anal. , 86 : 180 – 209 .

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