AN EXPLICIT EXAMPLE CONCERNING THE INVARIANT SUBSPACE PROBLEM FOR BANACH SPACES

作者：Sliwa Wieslaw^*

来源：Rocky Mountain Journal of Mathematics, 2010, 40(2): 627-641.

DOI：10.1216/RMJ-2010-40-2-627

• Banach space
• continuous linear operator
• invariant subspace

We simplify the negative solution to the invariant subspace problem for Banach spaces. Developing the ideas of Read, we give an explicit example of a continuous linear operator on the Banach space l(1) without nontrivial closed invariant subspaces.

• 出版日期2010