Invariant subspaces of infinite codimension for some nonnormal operators

Kevin Clancey
1973 Proceedings of the American Mathematical Society  
Let q> G C'[-1,1]. For/G !»(-1, 1) define T«,/(i) = j/(i) + -I-dt. TT J-1 i -/ Our main result says Tq, has invariant subspaces of infinite codimension. Received by the editors November 29, 1971. A MS 1969 subject classifications. Primary 4615, 4710.
doi:10.1090/s0002-9939-1973-0308841-x fatcat:5eqvrcini5c3pj5mrkxjqpbqsa