선형보존자 문제들에 관한 연구

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참고문헌 (81)

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2. "Linear transformations on matrices Theinvariance of commuting pairs of matrices", pp.179~ (1978)
3. "\it Rank k-preservers and preservers of sets of ranks}", pp.11~ (1983)
4. "Linear operators on matrices" (1988)
5. "Lineartransformations preserving the Grassmannian over" (2004)
6. "Linear preservers of zeros of matrix polynomials" (2005)
7. "Linearpreservers of extremes of rank inequalities over semirings" (2006)
8. "Linear operators thatpreserve pairs of matrices which satisfy extreme rank properties" (2002)
9. "Nonnegative rank preserving operators" (1985)
10. "Fuzzy rank-preserving operators" (1986)
11. "Term-rank, permanent and rook polynomial preservers", pp.33~46 (1987)
12. "Semiring rank versus column rank" (1988)
13. "Linear operators strongly preserving primitivity" (1989)
14. "Linear operators preserving digraphs whose maximum cycle length is small" (1990)
15. "Linear operators preserving properties of graphs" (1990)
16. "Linear operators strongly preserving commuting pairs" (1990)
17. "Linear operators preserving idempotent matrices over fields" (1991)
18. "Linear operators strongly preserving idempotent matrices over semirings" (1992)
19. "Linear operators that strongly preserve graphicalproperties of matrices" (1992)
20. "Linear operators preservingr-potent matrices over semirings" (1992)
21. "A comparison of nonnegativereal ranks and their preservers" (1992)
22. "Linear operators that preserve zero-term rank overfields and rings" (2002)
23. "Columnranks and their preservers over nonnegative real matrices" (2005)
24. "Linear operatorsthat preserve zero-term rank of Boolean matrices" (1999)
25. "Zero-term rank preservers" (2001)
26. "Lineartransformations that preserve certain positivity classes ofmatrices" (1985)
27. "\it Linear maps that preserve singular andnonsingular matrices}", pp.45~ (1978)
28. "\it The preservers of any orthogonalgroup}", pp.347~ (1977)
29. "\it Linear transformations on symmetricmatrices that preserve commutativity}", pp.11~ (1982)
30. "\it Linear transformations on tensor spaces}", pp.3~ (1983)
31. "Linear preservers onpowers of matrices" (1992)
32. "Linear preservers on matrices" (1987)
33. "Linear maps preserving commutativity" (1987)
34. "\it The Automorphisms of the Classical Groups}" (1949)
35. "\it Linear transformations of tensor productspreserving a fixed rank}", pp.411~ (1969)
36. "\it Isometries of Matrix Algebras} Univ. of California" (1976)
37. "\it Isometries of matrix algebra}"
38. "\it Linear transformationswhich map the P-matrices into themselves}", pp.23~ (1986)
39. "Similarity preserving linear maps on matrices" (1987)
40. "Linear operatorspreserving certain equivalence relations on matrices" (1991)
41. "Linear operators thatpreserve maximal column rank of Boolean matrices" (1994)
42. "Linear maps on hermitianmatrices The stabilizer of an inertia class II" (1986)
43. "Aquivalenz von linearen $\infty$Scharen bilinearer Formen", pp.367~381 (1987)
44. "Linear operators preservinginvariants of non-binary matrices" (1992)
45. "\it Trace preserving linear transformations on matrixalgebras}", 77 (1976), 243~
46. "Linear operators preserving the numerical radius of matrices" (1987)
47. "Linear operatorspreserving certain equivalence relations originating in systemtheory" (1992)
48. "Linear operators preserving the (p,q) numerical range" (1988)
49. "Duality between some linearpreserver problems The invariance of the c-numerical range" (1988)
50. "Duality between some linear preserver problems.II.Isometries with respect to c-spectral norms and matrices withfixed singular values" (1988)
51. "Linear operators preserving unitarily invariantnorms on matrices" (1990)
52. "Linear operators preserving certain functions onsingular values of matrices" (1990)
53. "Linear operators preserving unitary similarityinvariant norms on matrices" (1990)
54. "Duality between some linear preserver problems.III.c-spectral norms on" (1991)
55. "Linear operators leaving a class of matrices withfixed singular values invariant" (1993)
56. "Linear maps which preserve an inertia class" (1990)
57. "Linear preservers of balancedsingular inertia classes" (1994)
58. "Linear operators leaving the unitary group invariant", pp.155~ (1959)
59. "\it Linear operations on matrices}", pp.837~ (1962)
60. "\it Linear transformations on matrices}", pp.107~ (1971)
61. "\it On the relation between the permanentand the determinant}", pp.327~ (1962), mar4}M. Marcus and H. Minc
62. "\it Transformations on tensor productspaces}", pp.1215~ (1959)
63. "Linear maps on algebraic groups" (1992)
64. "Invariants of linear maps on matrixalgebras" (1989)
65. "A survey of linear preserver problems" (1992)
66. "\it Commutativity-preserving operators on symmetricmatrices}", pp.219~ (1984)
67. "\it Linear adjugate preservers on complex matrices}", 83 (1982), 215~
68. "Linear operators that preserve column rank ofBoolean matrices" (1993)
69. "Linear operators that preserve column rank of fuzzymatrices" (1994)
70. "On spanning column rank of matrices over semirings" (1995)
71. "A comparison of maximal column ranks of matricesover related semirings" (1997)
72. "Linear operators that preserve maximal column ranksof nonnegative integer matrices" (1998)
73. "Rank andperimeter preserver of Boolean rank-1 matrices" (2004)
74. "Spanning column ranks and theirpreservers of nonnegative matrices" (1997)
75. "Column ranks and their preserversof matrices over max algebra" (2003)
76. "Linear maps that preserve commuting pairs ofmatrices over general Boolean algebra" (2006)
77. "Linear preservers of Boolean nilpotent matrices" (2006)
78. "Column ranks and their preservers of general Boolean matrices" (1995)
79. "Maximal column rank preservers of fuzzy matrices" (2001)
80. "Linear operators preserving maximal column ranks of nonbinaryBoolean matrices" (2000)
81. "\it Linear maps that preserve commuting pairs ofmatrices}", pp.29~ (1976)

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