Johnson-Schechtman inequalities in the free probability theory
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Publication:1762329
DOI10.1016/j.jfa.2012.07.012zbMath1264.46046OpenAlexW2061396241MaRDI QIDQ1762329
Pheodor A. Sukochev, Dmitriy Zanin
Publication date: 23 November 2012
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2012.07.012
Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative function spaces (46L52)
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\(\Phi\)-moment inequalities for independent and freely independent random variables ⋮ Johnson-Schechtman inequalities for noncommutative martingales ⋮ Quantitative mean ergodic inequalities: power bounded operators acting on one single noncommutative \(L_p\) space ⋮ On subspaces spanned by freely independent random variables in noncommutative \(L_p\)-spaces ⋮ Noncommutative Burkholder/Rosenthal inequalities associated with convex functions ⋮ Noncommutative Burkholder/Rosenthal inequalities with maximal diagonals ⋮ Weak type estimates for the noncommutative Vilenkin-Fourier series ⋮ Square functions for noncommutative differentially subordinate martingales ⋮ Johnson–Schechtman and Khintchine inequalities in noncommutative probability theory
Cites Work
- Noncommutative Burkholder/Rosenthal inequalities. II: Applications
- Orbits in symmetric spaces
- Sums of independent random variables in rearrangement invariant function spaces
- The Kadec-Klee property in symmetric spaces of measurable operators
- Lipschitz continuity of the absolute value and Riesz projections in symmetric operator spaces
- Series of independent random variables in rearrangement invariant spaces: an operator approach
- Generalized s-numbers of \(\tau\)-measurable operators
- Best constants in Rosenthal-type inequalities and the Kruglov operator
- Rosenthal type inequalities for free chaos
- On the subspaces of \(L^p\) \((p > 2)\) spanned by sequences of independent random variables
- Independent functions and the geometry of Banach spaces
- Free Random Variables
- Lectures on the Combinatorics of Free Probability
- Symmetric norms and spaces of operators
- On the multiplication of free N -tuples of noncommutative random variables
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