A note on the connectedness problem for nest algebras
HTML articles powered by AMS MathViewer
- by David R. Pitts PDF
- Proc. Amer. Math. Soc. 114 (1992), 181-183 Request permission
Abstract:
It has been conjectured that a certain operator $T$ belonging to the group $\mathcal {G}$ of invertible elements of the algebra $\operatorname {Alg} {\mathbf {Z}}$ of doubly infinite upper-triangular bounded matrices lies outside the connected component of the identity in $\mathcal {G}$. In this note we show that $T$ actually lies inside the connected component of the identity of $\mathcal {G}$.References
- 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
Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 114 (1992), 181-183
- MSC: Primary 47D25; Secondary 47B38, 47D03, 47D30
- DOI: https://doi.org/10.1090/S0002-9939-1992-1062833-6
- MathSciNet review: 1062833