Commutativity preserving linear maps and Lie automorphisms of triangular matrix algebras

Linear Algebra and Its Applications

Volumn 288, Issue 1-3, 1999, Pages 89-104

  Marcoux, Laurent W ^a   Sourour, Ahmed R ^b  

^a UNIVERSITY OF ALBERTA   (Canada)

^b UNIVERSITY OF VICTORIA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040814300     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(98)10182-9     Document Type: Article

References (8)

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3. M. Omladić, On operators preserving commutativity, J. Functional Anal. 66 (1986) 105-122.
4. H. Radjavi, Commutativity-preserving operators on symmetric matrices, Linear Algebra Appl. 61 (1984) 219-224.
5. W. Watkins, Linear maps that preserve commuting pairs of matrices, Linear Algebra Appl. 14 (1976) 29-35.
6. K.R. Davidson, Nest algebras, Pitman Research Notes in Mathematics, vol. 191, Longman Scientific and Technical, London and New York, 1988.
7. D. Doković, Automorphisms of the Lie algebra of upper triangular matrices over a connected commutative ring, J. Algebra 170 (1994) 101-110.
8. L.W. Marcoux, A.R. Sourour, Lie isomorphisms of nest algebras, preprint.