姚婷婷, 吐尔德别克. 谱意义下的非交换Hardy空间(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2013, 30(1): 41-46.DOI：
谱意义下的非交换Hardy空间(英文)
摘要
{αt}t∈G是群G作用在VNA M上的*自同构的σ-弱连续的表示
满足ταt=τ
t∈G.对1≤p
Abstract
Let {α t } t∈G be a σ-weakly continuous representations of group G as-automorphisms of von Neumann algebra M such that τ α t = τ
t ∈ G.For 1 ≤ p < ∞
we extend {α t } t∈G to L p(M) which be a non-commutative L p-space and investigate the noncommutative Hardy space H p(α) based on the theory of spectral subspace.
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references
Kawamura S,Tomiyama J.On subdiagonal algebras associated with flows in operator algebras[J].J Math Soc Japan,1977,29:73-90.
Loebl R I,Muhly P S.Analyticity and flows in von Neumann algebras[J].J Funct Anal,1978,29:214-252.
Saito K-S.The Hardy spaces associated with a periodic flow on a von Neumann algebra[J].To hoku Math Journ,1977,29:69-75.
Saito K-S.Nonselfadjoint subalgebras associated with compact abelian group action on finite von Neumann algebras[J].To hoku Math Journ,1982,34:485-494.
Arveson W B.Analyticity in operator algebras[J].Amer J Math,1967,89:578-642.
Arveson W B.On groups of automorphisms of operator algebra[J].J Funct Anal,1974,15:217-243.
Saito K-S.On non-commutative Hardy space associated with flows in finite von Neumann algebras[J].To hoku Math J,1977,29:585-595.
Saito K S.A note on invariant subspaces for finite maximal subdiagonal algebras[J].Proc Amer Math Soc,1979,77:348-352.
Ohwada T.On some subalgebras of von Neumann algebras with analyticity[J].J Funct Anal,2005,222:274-291.
Stra tila S.Modual Theory in Operator Algebras[M].Tunbridge England:Abacus Press,1981.
Takesaki M.Theory of Operator Algebras II[M].Berlin:Springer,2003.
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