Jordan derivations and antiderivations on triangular matrices
✍ Scribed by Dominik Benkovič
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 209 KB
- Volume
- 397
- Category
- Article
- ISSN
- 0024-3795
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📜 SIMILAR VOLUMES
two completion conjectures for partial upper triangular matrices. In this paper we show that one of them is not true in general, and we prove its validity for some particular cases. We also prove the equivalence between the two conjectures in the case of partial Hessenherg matrices.
We give a counterexample to a conjecture about the possible Jordan normal forms of nilpotent matrices where the entries in the upper triangular part are prescribed. 0 Elsevier Science Inc., 1997 Let A = [ai,j] be an n X n matrix where the entries ai, j, with i <j, are fixed constants, all the other