A note on the connectedness problem for nest algebras
Author: David R. Pitts
Journal: Proc. Amer. Math. Soc. 114 (1992), 181-183
MSC: Primary 47D25; Secondary 47B38, 47D03, 47D30
MathSciNet review: 1062833
Abstract: It has been conjectured that a certain operator belonging to the group of invertible elements of the algebra of doubly infinite upper-triangular bounded matrices lies outside the connected component of the identity in . In this note we show that actually lies inside the connected component of the identity of .
-  Kenneth R. Davidson, Nest algebras, Pitman Research Notes in Mathematics Series, vol. 191, Longman Scientific & Technical, Harlow; copublished in the United States with John Wiley & Sons, Inc., New York, 1988. Triangular forms for operator algebras on Hilbert space. MR 972978
-  Zeev Nehari, Conformal mapping, McGraw-Hill Book Co., Inc., New York, Toronto, London, 1952. MR 0045823