A Helson-Szegö theorem for subdiagonal subalgebras with applications to Toeplitz operators

dc.contributor.author	Labuschagne, Louis E.
dc.contributor.author	Xu, Quanhua
dc.contributor.researchID	22982477 - Labuschagne, Louis Ernst
dc.date.accessioned	2015-08-18T09:59:16Z
dc.date.available	2015-08-18T09:59:16Z
dc.date.issued	2013
dc.description.abstract	We formulate and establish a noncommutative version of the well known Helson–Szegö theorem about the angle between past and future for subdiagonal subalgebras. We then proceed to use this theorem to characterise the symbols of invertible Toeplitz operators on the noncommutative Hardy spaces associated to subdiagonal subalgebras.	en_US
dc.identifier.citation	Labuschagne, L.E. & Xu, Q. 2013. A Helson-Szegö theorem for subdiagonal subalgebras with applications to Toeplitz operators. Journal of functional analysis, 265:545-561. [https://doi.org/10.1016/j.jfa.2013.05.015]	en_US
dc.identifier.issn	0022-1236
dc.identifier.uri	http://hdl.handle.net/10394/14260
dc.identifier.uri	https://doi.org/10.1016/j.jfa.2013.05.015
dc.identifier.uri	http://www.sciencedirect.com/science/article/pii/S0022123613001602
dc.language.iso	en	en_US
dc.publisher	Elsevier	en_US
dc.subject	Helson-Szegö theorem	en_US
dc.subject	Angle between past and future	en_US
dc.subject	Invertibility of Toeplitz operators	en_US
dc.subject	Subdiagonal algebras	en_US
dc.subject	Hardy spaces	en_US
dc.subject	Outer operators	en_US
dc.subject	Riesz-Szegö factorisation	en_US
dc.title	A Helson-Szegö theorem for subdiagonal subalgebras with applications to Toeplitz operators	en_US
dc.type	Article	en_US

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