Year: 2014
Communications in Mathematical Research , Vol. 30 (2014), Iss. 4 : pp. 329–333
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2014.04.06
Communications in Mathematical Research , Vol. 30 (2014), Iss. 4 : pp. 329–333
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 5
Keywords: connectedness nest algebra invertible group.