@Article{CMR-30-4,
author = {Zhang, Min and Yue, Hua},
title = {A Note on the Connectedness of the Invertible Group of a Nest Algebra},
journal = {Communications in Mathematical Research },
year = {2014},
volume = {30},
number = {4},
pages = {329--333},
abstract = {<p style="text-align: justify;">The connectedness of the invertibles question for arbitrary nest has been
reduced to the case of the lower triangular operators with respect to a fixed orthonormal basis $e_n$ for $n \geq 1$. For each $f ∈ H^∞$, let $T_f$ be the Toeplitz operator. In
this paper we prove that $T_f$ can be connected to the identity through a path in the
invertible group of the lower triangular operators if $f$ satisfies certain conditions.</p>},
issn = {2707-8523},
doi = {https://doi.org/10.13447/j.1674-5647.2014.04.06},
url = {https://global-sci.com/article/81764/a-note-on-the-connectedness-of-the-invertible-group-of-a-nest-algebra}
}