Electronic Resource
Springer
Integral equations and operator theory
13 (1990), S. 165-174
ISSN:
1420-8989
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract It is proved that complementary algebras of linear operators on ℂn do not necessarily have nontrivial complementary invariant subspaces. This settles a conjecture of Gohberg, Lancaster, and Rodman in the negative. A positive result is also proved under certain additional hypotheses.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01193754
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