Noncommutative strong maximals and almost uniform convergence in several directions
DOI10.1017/fms.2020.37zbMath1467.46061arXiv1910.10551OpenAlexW3107878935MaRDI QIDQ5142062
Javier Parcet, Adrián M. González-Pérez, José M. Conde-Alonso
Publication date: 29 December 2020
Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.10551
Maximal functions, Littlewood-Paley theory (42B25) Markov semigroups and applications to diffusion processes (47D07) Noncommutative probability and statistics (46L53) Probability theory on algebraic and topological structures (60B99) Measure-theoretic ergodic theory (28D99) Linear operators in (C^*)- or von Neumann algebras (47C15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Algebraic Davis decomposition and asymmetric Doob inequalities
- Classical summation in commutative and noncommutative \(L_p\)-spaces
- Strong limit theorems in non-commutative probability
- Operator valued weights in von Neumann algebras. I
- Strong limit theorems in noncommutative \(L_ 2\)-spaces
- Ergodic theorems for convex sets and operator algebras
- An example of a non nuclear C*-algebra, which has the metric approximation property
- Non-commutative martingale inequalities
- Noncommutative multi-parameter Wiener-Wintner type ergodic theorem
- Noncommutative Riesz transforms -- dimension free bounds and Fourier multipliers
- Theory of operator algebras. II
- Reduced free products of completely positive maps and entropy for free product of automorphisms
- Noncommutative extrapolation theorems and applications
- Free Hilbert transforms
- Martingales on von Neumann algebras
- Notes on Fourier analysis. XXIX. An extrapolation theorem
- Martingales in Banach Spaces
- Noncommutative maximal inequalities associated with convex functions
- Uniform equicontinuity of sequences of measurable operators and non-commutative ergodic theorems
- Free Random Variables
- Mixed-norm inequalities and operator space 𝐿_{𝑝} embedding theory
- Noncommutative maximal ergodic theorems
- FAILURE OF THE POINTWISE AND MAXIMAL ERGODIC THEOREMS FOR THE FREE GROUP
- Ergodic theorems for semifinite von Neumann algebras: II
- A geometric proof of the strong maximal theorem
- Ergodic Theorems for Semifinite Von Neumann Algebras-I
- Doobs inequality for non-commutative martingales
- Fubini's Theorem for Ultraproducts of Noncommutative Lp-Spaces
- Noncommutative Orlicz Spaces and Generalized Arens Algebras
- Weak-type interpolation for noncommutative maximal operators
- Note on the class LlogL
- Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
- Note on the differentiability of multiple integrals
- Birkhoff's ergodic theorem and the maximal ergodic theorem
- A converse extrapolation theorem for translation-invariant operators
- Theory of operator algebras I.
This page was built for publication: Noncommutative strong maximals and almost uniform convergence in several directions