Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On direct sums of reductive operators


Author: Thomas P. Wiggen
Journal: Proc. Amer. Math. Soc. 45 (1974), 313-314
MSC: Primary 47A15
MathSciNet review: 0361837
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Abstract: An example is given to show that the direct sum of two (distinct) reductive operators need not be reductive. The conjecture that $ A \oplus A$ is reductive if $ A$ is reductive is shown to be equivalent to the reductive operator conjecture (every reductive operator is normal).


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DOI: http://dx.doi.org/10.1090/S0002-9939-1974-0361837-5
Article copyright: © Copyright 1974 American Mathematical Society