A NOTE ON THE CONNECTEDNESS PROBLEM FOR NEST ALGEBRAS

Authors

David R. Pitts, University of Nebraska - LincolnFollow

Date of this Version

1-1992

Citation

1992 American Mathematical Society

Comments

proceedings of the american mathematical society Volume 114, Number 1, January 1992

Abstract

It has been conjectured that a certain operator T belonging to the group ff of invertible elements of the algebra Alg Z of doubly infinite uppertriangular bounded matrices lies outside the connected component of the identity in W. In this note we show that T actually lies inside the connected component of the identity of & .