Original Article
Kyungpook Mathematical Journal 2004; 44(1): 41-45
Published online March 23, 2004
Copyright © Kyungpook Mathematical Journal.
On Common Invariant Subspaces of Operators
Il Bong Jung1 , Eungil Ko2 , Carl Pearcy3
1Department of Mathematics, Kyungpook National University, Daegu 702-701, Korea
2Department of Mathematics, Ewha Women's University, Seoul 120-750, Korea
3Department of Mathematics, Texas A&M University, College Station, TX 77843, U.S.A.
We present an equivalent formulation of the invariant subspace problem in terms of the existence of common invariant subspaces of some related operators, and then sketch how this formulation might be useful to establish the existence of invariant subspaces for all operators whose norm and spectral radius agree.
Keywords: invariant subspaces, absolutely continuous, lattice