OUTER OPERATORS FOR THE NONCOMMUTATIVE SYMMETRIC HARDY SPACES ASSOCIATED WITH FINITE SUBDIAGONAL ALGEBRA

doi:10.1016/S0252-9602(17)30038-3

Acta mathematica scientia,Series B ›› 2017, Vol. 37 ›› Issue (3): 799-805.doi: 10.1016/S0252-9602(17)30038-3

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OUTER OPERATORS FOR THE NONCOMMUTATIVE SYMMETRIC HARDY SPACES ASSOCIATED WITH FINITE SUBDIAGONAL ALGEBRA

Kanat S. TULENOV¹, Madi RAIKHAN²

1. Institute of Mathematics and Mathematical Modeling, Almaty 050010, Kazakhstan;
2. L. N. Gumilyov Eurasian National University, Astana 010010, Kazakhstan

Received:2016-02-24 Revised:2016-09-19 Online:2017-06-25 Published:2017-06-25

Abstract

Kanat S. TULENOV, Madi RAIKHAN. OUTER OPERATORS FOR THE NONCOMMUTATIVE SYMMETRIC HARDY SPACES ASSOCIATED WITH FINITE SUBDIAGONAL ALGEBRA[J].Acta mathematica scientia,Series B, 2017, 37(3): 799-805.

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[1] Arveson W B. Analyticity in operator algebras. Amer J Math, 1967, 89:578-642
[2] Bekjan T N, Xu Q. Riesz and Szegö type factorizations for noncommutative Hardy spaces. J Operator Theory, 2009, 62:215-231
[3] Bekjan T N. Noncommutative Symmetric Hardy Spaces. Integral Equ Oper Theory, 2015, 81:191-212
[4] Bekjan T N. Noncommutative Hardy space associated with semi-finite subdiagonal algebras. J Math Anal Appl, 2015, 429:1347-1369
[5] Blecher D P, Labuschagne L E. Applications of Fuglede-Kadison determinant:Szegö's theorem and outers for noncommutative Hp. Trans Amer Math Soc, 2008, 360:6131-6147
[6] Blecher D P, Labuschagne L E. Outers for noncommutative H^p revisited. Studia Math, 2013, 217:265-287
[7] Dodds P, Pagter B de, Sukochev F. Theory of noncommutative integration (Unpublished manuscript)
[8] Dodds P G, Dodds T K, Pagter B de. Noncommutative Banach function spaces. Math Z, 1989, 201:583-587
[9] Exel R. Maximal subdiagonal algebras. Amer J Math, 1988, 110:775-782
[10] Fack T, Kosaki H. Generalized s-numbers of τ-measurable operators. Pac J Math, 1986, 123:269-300
[11] Fuglede B, Kadison R V. Determinant theory in finite factors. Ann Math, 1952, 55:520-530
[12] Kalton N, Sukochev F. Symmetric norms and spaces of operators. J Reine Angew Math, 2008, 621:81-121
[13] Lindenstrauss J, Tzafiri L. Classical Banach spaces. Springer-Verlag Ⅱ, 1979
[14] Marsalli M, West G. Noncommutative H^p-spaces. J Operator Theory, 1997, 40:339-355
[15] Pisier G, Xu Q. Noncommutative L^p-spaces//Handbook of the geometry of Banach spaces. 2003, 2:1459-1517
[16] Saito K S. On non-commutative Hardy spaces associated with flows on finite von Neumann algebras. Tohoku Math J, 1977, 29:585-595
[17] Sukochev F. Completeness of quasi-normed symmetric operator spaces. Indagationes Mathematicae, 2014, 25:376-388
[18] Xu Q. Analytic functions with values in lattices and symmetric spaces of measurable operators. Math Proc Cambridge Philos Soc, 1991, 109:541-563
[19] Arxen T Yerkex, Turdebek N Bekjan. On outer elements of the noncommutative H_p spaces. Bull of KSU, Seria Math, 2015, 77:56-60

OUTER OPERATORS FOR THE NONCOMMUTATIVE SYMMETRIC HARDY SPACES ASSOCIATED WITH FINITE SUBDIAGONAL ALGEBRA

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