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Volumn 269, Issue 1-3, 1998, Pages 241-255

Linear preservers on triangular matrices

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EID: 0007461429     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(97)00069-4     Document Type: Article
Times cited : (41)

References (13)
  • 1
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    • Beasley, L.B.1
  • 2
    • 0007460351 scopus 로고
    • Linear operators on matrices: The invariance of rank-k matrices
    • LeRoy B. Beasley, Linear operators on matrices: The invariance of rank-k matrices, Linear Algebra Appl. 107:161-167 (1988).
    • (1988) Linear Algebra Appl. , vol.107 , pp. 161-167
    • Beasley, L.B.1
  • 5
    • 84963333641 scopus 로고
    • Linear transformations on symmetric matrices II
    • G. H. Chan and M. H. Lim, Linear transformations on symmetric matrices II, Linear and Multilinear Algebra 32:319-325 (1992).
    • (1992) Linear and Multilinear Algebra , vol.32 , pp. 319-325
    • Chan, G.H.1    Lim, M.H.2
  • 6
    • 84972496641 scopus 로고
    • Linear transformations of tensor products preserving a fixed rank
    • D. Z. Djokovic, Linear transformations of tensor products preserving a fixed rank, Pacific J. Math. 20:411-414 (1969).
    • (1969) Pacific J. Math. , vol.20 , pp. 411-414
    • Djokovic, D.Z.1
  • 7
    • 0002245052 scopus 로고
    • Über die Darstellung der endlichen Gruppen durch lineare Substitutionen
    • G. Frobenius, Über die Darstellung der endlichen Gruppen durch lineare Substitutionen, Sitzungsber. Deustch. Akad. Wiss. Berlin, 1897, pp. 997-1015.
    • (1897) Sitzungsber. Deustch. Akad. Wiss. Berlin , pp. 997-1015
    • Frobenius, G.1
  • 8
    • 0347850979 scopus 로고
    • Invertible preservers and algebraic groups
    • R. Guralnick, Invertible preservers and algebraic groups, Linear Algebra Appl. 212-213:249-257 (1994).
    • (1994) Linear Algebra Appl. , vol.212-213 , pp. 249-257
    • Guralnick, R.1
  • 9
    • 84948893094 scopus 로고
    • Rank and tensor rank preservers
    • M. H. Lim, Rank and tensor rank preservers, Linear and Multilinear Algebra 33:7-21 (1992).
    • (1992) Linear and Multilinear Algebra , vol.33 , pp. 7-21
    • Lim, M.H.1
  • 10
    • 0346688969 scopus 로고
    • Transformations on tensor product spaces
    • M. Marcus and B. Moyls, Transformations on tensor product spaces, Pacific J. Math. 9:1215-1221 (1959).
    • (1959) Pacific J. Math. , vol.9 , pp. 1215-1221
    • Marcus, M.1    Moyls, B.2
  • 11
    • 0037907194 scopus 로고
    • Linear adjugate preservers on the complex matrices
    • R. Sinkhorn, Linear adjugate preservers on the complex matrices, Linear and Multilinear Algebra 12:215-222 (1982/1983).
    • (1982) Linear and Multilinear Algebra , vol.12 , pp. 215-222
    • Sinkhorn, R.1
  • 12
    • 84972518107 scopus 로고
    • Transformations on tensor spaces
    • R. Westwick, Transformations on tensor spaces, Pacific J. Math. 23:613-620 (1967).
    • (1967) Pacific J. Math. , vol.23 , pp. 613-620
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  • 13
    • 0042251447 scopus 로고
    • Modular automorphisms of upper triangular matrices over a commutative ring preserving rank one
    • C. G. Cao, Modular automorphisms of upper triangular matrices over a commutative ring preserving rank one, Northeast. Math. J. 10(4):496-502 (1994).
    • (1994) Northeast. Math. J. , vol.10 , Issue.4 , pp. 496-502
    • Cao, C.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.