scholarly journals A construction of Lomonosov functions and applications to the invariant subspace problem

1996 ◽  
Vol 175 (1) ◽  
pp. 257-270 ◽  
Author(s):  
Aleksander Simonič
Keyword(s):  
Invariant Subspace ◽  
Subspace Problem ◽  
Invariant Subspace Problem

scholarly journals An invariant subspace theorem on subdecomposable operators

2000 ◽  
Vol 61 (1) ◽  
pp. 11-26
Author(s):  
Mingxue Liu
Keyword(s):  
Invariant Subspace ◽  
Additional Condition ◽  
Subspace Theorem ◽  
Subspace Problem ◽  
Invariant Subspace Problem

H. Mohebi and M. Radjabalipour raised a conjecture on the invariant subspace problem in 1994. In this paper, we prove the conjecture under an additional condition, and obtain an invariant subspace theorem on subdecomposable operators.

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