Riesz and Szeg\"o type factorizations for noncommutative Hardy spaces

Keywords

Noncommutative geometry, Mathematics, Hardy space, Type (biology), Pure mathematics

References

• A Beurling theorem for noncommutative L^pDavid P. Blecher, Louis E. Labuschagne — 2005
• Theory of operator algebras正道 竹崎 — 2002
• A noncommutative Szegö theorem for subdiagonal subalgebras of von Neumann algebrasLouis E. Labuschagne — 2005
• Analyticity in Operator Algebras (冨田-竹崎理論とその応用)新蔵 河村 — 1976
• Brown measures of unbounded operators affiliated with a finite von Neumann algebraUffe Haagerup, Hanne Schultz — 2006
• Non-commutative LP-spacesF. J. Yeadon — 1975
• Bounded analytic functionsZeev Nehari — 1950
• Characterizations of Noncommutative H∞David P. Blecher, Louis E. Labuschagne — 2006
• A note on invariant subspaces for finite maximal subdiagonal algebrasKichi-Suke Saito — 1979
• Applications of the Fuglede-Kadison determinant: Szegö’s theorem and outers for noncommutative ^David P. Blecher, Louis E. Labuschagne — 2006
• DETERMINANT THEORY IN FINITE FACTORSBent Fuglede, Richard V. Kadison — 1952
• Maximal Subdiagonal AlgebrasRuy Exel — 1988
• Analyticity and the Unruh effect: a study of local modular flowJonathan Sorce — 2024
• APPLICATIONS OF THE FUGLEDE-KADISON DETERMINANT: SZEGÖ’S THEOREM AND OUTERS FOR NONCOMMUTATIVE H pD. Blecher, L. Labuschagne — 2006
• A Note on Invariant Subspaces for Finite Maximal Subdiagonal AlgebrasKichi-Suke Saito — 1979
• Non-commutative L^p-spaces英明 泉 — 1996
• Non-commutative L p spacesG. Pisier, Qiu-bin Xu — 2003

Cited by

• Von Neumann algebraic H^p theoryDavid P. Blecher, Louis E. Labuschagne — 2006
• Noncommutative vector-valued symmetric Hardy spacesКанат Туленов — 2015
• A Helson-Szegö theorem for subdiagonal subalgebras with applications to Toeplitz operatorsLouis E. Labuschagne, Quanhua Xu — 2013
• Analytic Toeplitz algebras and the Hilbert transform associated with a subdiagonal algebraGuoxing Ji — 2014
• Noncommutative Hardy space associated with semi-finite subdiagonal algebrasTurdebek N. Bekjan — 2015
• Szegö's theorem and its probabilistic descendantsΝ. H. Bingham — 2011
• Noncommutative Symmetric Hardy SpacesTurdebek N. Bekjan — 2015
• Interpolation and Φ-moment inequalities of noncommutative martingalesTurdebek N. Bekjan, Zeqian Chen — 2010
• Characterization of subdiagonal algebrasTurdebek N. Bekjan — 2011
• Noncommutative Orlicz–Hardy spaces associated with growth functionsAbdugheni Abdurexit, Turdebek N. Bekjan — 2014
• Rademacher averages on noncommutative symmetric spacesChristian Le Merdy, Fedor Sukochev — 2008
• Analytic Hardy spaces on the quantum torusChen Zeqian, Zhi Yin — 2011
• Toeplitz operators associated with semifinite von neumann algebraCheng Yan, Turdebek N. Bekjan — 2015
• Szegö Type Factorization Theorem for Noncommutative Hardy-Lorentz SpacesJingjing Shao, Yazhou Han — 2013
• Some results on noncommutative Hardy-Lorentz spacesYazhou Han, Jingjing Shao — 2015
• Applications of the Fuglede-Kadison determinant: Szegö’s theorem and outers for noncommutative ^David P. Blecher, Louis E. Labuschagne — 2006
• A Beurling-Blecher-Labuschagne Theorem for Noncommutative Hardy Spaces Associated with Semifinite von Neumann AlgebrasLauren Sager — 2016
• A non-commutative Beurling's theorem with respect to unitarily invariant normsYanni Chen, Don Hadwin, Junhao Shen — 2015
• Integral representation of a solution to three-dimensional elliptic equation with strong degenerationGuzel Z. Khabibullinа, Sergey Vladislavovich Makletsov, R. M. Mavlyaviev — 2015
• NONCOMMUTATIVE ORLICZ-HARDY SPACESAbdugheni Abdurexit, Turdebek N. Bekjan — 2014

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