Turdebek N. BEKJAN
. SZEGÖ TYPE FACTORIZATION OF HAAGERUP NONCOMMUTATIVE HARDY SPACES[J]. Acta mathematica scientia, Series B, 2017
, 37(5)
: 1221
-1229
.
DOI: 10.1016/S0252-9602(17)30069-3
[1] Adurexit A, Bekjan T N. Noncommutative Orlicz-Hardy spaces. Acta Math Sci, 2014, 34B(5):1584-1592
[2] Arveson W B. Analyticity in operator algebras. Amer J Math, 1967, 89:578-642
[3] Bekjan T N, Xu Q. Riesz and Szegö type factorizations for noncommutative Hardy spaces. J Oper Theory, 2009, 62(1):215-231
[4] Blecher D P, Labuschagne L E. Applications of the Fuglede-Kadison determinant:Szegö's theorem and outers for noncommutative Hp. Trans Amer Math Soc, 2008, 360:6131-6147
[5] Blecher D P, Labuschagne L E. A Beurling theorem for noncommutative Lp. J Operator Theory, 2008, 59:29-51
[6] Blecher D P, Labuschagne L E. Outers for noncommutative Hp revisited. Studia Math, 2013, 217:265-287
[7] Haagerup U. Lp-spaces associated wth an arbitrary von Neumann algegra. Algèbres d'opérateurs et leurs applications en physique mathématique (Proc Colloq, Marseille, 1977), Vol 274 of Colloq Internat CNRS, Paris, 1979:175-184
[8] Haagerup U. The standard form of von Neumann algebras. Math Scand, 1975, 37:271-283
[9] Ji G, Ohwada T, Saito K-S. Certain structure of subdiagonal algebras. J Operator Theory, 1998, 39:309-317
[10] Ji G, Saito K-S. Factorization in subdiagonal algebras. J Funct Anal, 1998, 159:191-202
[11] Ji G. A noncommutative version of Hp and characterizations of subdiagonal algebras. Integr Equ Oper Theory, 2012, 72:183-191
[12] Ji G. Analytic Toeplitz algebras and the Hilbert transform associated with a subdiagonal algebra. Sci China Math, 2014, 57:579-588
[13] Junge M, Xu Q. Noncommutative Burkholder/Rosental inequalities. Ann Prob, 2003, 31:948-995
[14] Labuschagne L E. Analogues of composition operators on non-commutative Hp spaces. J Operator Theory, 2003, 49:115-141
[15] Labuschagne L E. Invariant subspaces for H2 space of σ-finite algebras. Bull London Math Soc, 2017, 49(1):33-44
[16] Marsalli M, West G. Noncommutative Hp-spaces. J Operator Theory, 1997, 40:339-355
[17] Marsalli M, West G. The dual of noncommutative H1. Indiana Univ Math J, 1998, 47:489-500
[18] Pedersen G K, Takesaki M. The Radon-Nikodym theorem for von Neuman algebras. Acta Math, 1973, 130:53-87
[19] Pisier G, Xu Q. Noncommutative Lp-spaces//Handbook of the Geometry of Banach Spaces, Vol 2. Elsevier, 2003:1459-1517
[20] Randrianantoanina N. Hilbert transform associated with finite maximal subdiagonal algebras. J. Austral Math Soc (Series A), 1999, 65:388-404
[21] Saito K-S. A note on invariant subspaces for maximal subdiagonal algebras. Proc Amer Math Soc, 1979, 77:349-352
[22] Shao J, Han Y. Szego type factorization theorem for noncommutative Hardy-Lorentz space. Acta Math Sci, 2013, 33B(6):1675-1684
[23] Takesaki M. Tomita's Theory of Modular Hilbert Algebras and Applications. Lect Notes in Math, Vol 128. Berlin-New York:Springer-Verlag, 1970
[24] Terp M. Lp-spaces associated wth an arbitrary von Neumann algegras. Notes, Math Institute, Copenhagen Univ, 1981
[25] Xu Q. On the maximality of subdiagonal algebras. J Operator Theory, 2005, 54:137-146