An explicit example concernig the invariant subspace problem for Banach spaces

Śliwa, Wiesław2010-10-192010-10-192010-04Rocky Mountain J. Math., 40(2010), 627--641http://hdl.handle.net/10593/616We 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 of all absolute summable scalar sequences without nontrivial closed invariant subspacesenInvariant subspaceBanach spaceAn explicit example concernig the invariant subspace problem for Banach spaces