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Linear and Multilinear Algebra Volume 23, 1988 - Issue 4
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Original Articles

Linear transformations on that preserve the Ky Fan k-norm and a remarkable special case when (nk) = (4, 2)

Charles R. Johnson Department of Mathematics, The College of William and Mary, Williamsburg, VA, 23185, U. S. A.
,
Thomas Laffey Department of Mathematics, University College, Dublin, Ireland
&
Chi-Kwong Li Department of Mathematics, University of Wisconsin, Madison, WI, 53706, U.S.A.
Pages 285-298 | Received 14 Mar 1988, Published online: 02 Apr 2008

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Dijana Ilišević & Bojan Kuzma. (2019) On square roots of isometries. Linear and Multilinear Algebra 67:9, pages 1898-1921.
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Chi-Kwong Li & Stephen Pierce. (2001) Linear Preserver Problems. The American Mathematical Monthly 108:7, pages 591-605.
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Chi-Kwong Li & Nam-Kiu Tsing. (1992) Chapter 5: linear preservers on functions of Singular values. Linear and Multilinear Algebra 33:1-2, pages 53-61.
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Stanley S. Chang & Chi-Kwong Li. (1991) A special linear operator on . Linear and Multilinear Algebra 30:1-2, pages 65-75.
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Dragomir Ž. Đoković. (1990) On isometries of matrix spaces. Linear and Multilinear Algebra 27:2, pages 73-78.
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Chi-Kwong Li & Nam-Kiu Tsing. (1990) Linear operators preserving certain functions on singular values of matrices. Linear and Multilinear Algebra 26:1-2, pages 133-143.
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Chi-Kwong Li & Nam-Kiu Tsing. (1990) Linear operators preserving unitarily invariant norms of matrices. Linear and Multilinear Algebra 26:1-2, pages 119-132.
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Articles from other publishers (11)

Emily Herzig & Viswanath Ramakrishna. (2016) An Elementary, First Principles Approach to the Indefinite Spin Groups. Advances in Applied Clifford Algebras 27:2, pages 1283-1311.
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Nicholas J. Higham & Vanni Noferini. (2016) An algorithm to compute the polar decomposition of a 3 × 3 matrix. Numerical Algorithms 73:2, pages 349-369.
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Viswanath Ramakrishna, Yassmin Ansari & Fred M. Costa. (2011) The Minimal Polynomial of Some Matrices Via Quaternions. Advances in Applied Clifford Algebras 22:1, pages 159-183.
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Roderick Gow, Raphael Loewy, João Filipe Queiró & Vladimir Sergeichuk. (2009) Preface. Linear Algebra and its Applications 430:7, pages 1725-1729.
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Yassmin R Ansari & Viswanath Ramakrishna. (2008) The noncompact portion of Sp (4, R ) via quaternions . Journal of Physics A: Mathematical and Theoretical 41:33, pages 335203.
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E. Marques de Sá & Virgı´nia Santos. (2008) On the extremal structure of least upper bound norms and their dual. Linear Algebra and its Applications 428:8-9, pages 1928-1938.
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Jor-Ting Chan, Chi-Kwong Li & Nung-Sing Sze. (2005) Isometries for unitarily invariant norms. Linear Algebra and its Applications 399, pages 53-70.
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Niloufer Mackey. (1995) Hamilton and Jacobi Meet Again: Quaternions and the Eigenvalue Problem. SIAM Journal on Matrix Analysis and Applications 16:2, pages 421-435.
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Chi-Kwong Li. (1994) Some aspects of the theory of norms. Linear Algebra and its Applications 212-213, pages 71-100.
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Dragomir Ẑ. Đoković & Chi-Kwong Li. (1994) Overgroups of some classical linear groups with applications to linear preserver problems. Linear Algebra and its Applications 197-198, pages 31-61.
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Chi-Kwong Li & Nam-Kiu Tsing. (1991) Duality between some linear preserver problems. III. c-spectral norms and (skew)-symmetric matrices with fixed singular values. Linear Algebra and its Applications 143, pages 67-97.
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