Characterizations of noncommutative H ∞

dc.contributor.author	Blecher D.P.	en
dc.contributor.author	Labuschagne L.E.	en
dc.date.accessioned	2012-11-01T16:31:32Z
dc.date.available	2012-11-01T16:31:32Z
dc.date.issued	2006	en
dc.identifier.citation	Integral Equations and Operator Theory	en
dc.identifier.citation	56	en
dc.identifier.citation	3	en
dc.identifier.issn	0378620X	en
dc.identifier.other	10.1007/s00020-006-1425-5	en
dc.identifier.uri	http://hdl.handle.net/10500/7318
dc.description.abstract	We transfer a large part of the circle of theorems characterizing the generalization of classical H ∞ known as 'weak* Dirichlet algebras', to Arveson's very general noncommutative setting of subalgebras of finite von Neumann algebras. This solves the long-standing open question of the equivalence of principles such as Szegö's theorem, the weak* density of A +A*, and so on, within the noncommutative setting. The techniques should also be useful in future developments in noncommutative H p theory. © Birkhäuser Verlag, Basel 2006.	en
dc.language.iso	en	en
dc.subject	Finite von Neumann algebras; Logmodular; Noncommutative Hardy spaces; Subdiagonal operator algebra	en
dc.title	Characterizations of noncommutative H ∞	en
dc.type	Article	en