Cesaro mean convergence of martingale differences in rearrangement invariant spaces
From MaRDI portal
Publication:941698
DOI10.1007/s11117-007-2146-yzbMath1160.46020OpenAlexW2139495670MaRDI QIDQ941698
Serguei V. Astashkin, Nigel J. Kalton, Pheodor A. Sukochev
Publication date: 2 September 2008
Published in: Positivity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11117-007-2146-y
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Isomorphic theory (including renorming) of Banach spaces (46B03)
Related Items (19)
When weak and local measure convergence implies norm convergence ⋮ A noncommutative Gretsky–Ostroy theorem and its applications ⋮ Obituary: Nigel John Kalton, 1946-2010 ⋮ Uo-convergence and its applications to Cesàro means in Banach lattices ⋮ ON A CHARACTERISTIC OF STRONGLY EMBEDDED SUBSPACES IN SYMMETRIC SPACES ⋮ The order-type Banach-Saks properties ⋮ Weakly compact sets and weakly compact pointwise multipliers in Banach function lattices ⋮ (Strongly-)Dunford-Pettis operators and narrow operators ⋮ The structure of subspaces in Orlicz spaces lying between \(L^1\) and \(L^2\) ⋮ On disjointly homogeneous Orlicz-Lorentz spaces ⋮ Characterization of the Orlicz spaces whose convergence is equivalent to convergence in measure on reflexive subspaces ⋮ Sets of uniformly absolutely continuous norm in symmetric spaces of measurable operators ⋮ On symmetric spaces with convergence in measure on reflexive subspaces ⋮ Disjointly homogeneous Orlicz spaces revisited ⋮ On symmetric spaces containing isomorphic copies of Orlicz sequence spaces ⋮ Bases of random unconditional convergence in Banach spaces ⋮ Rearrangement invariant spaces satisfying Dunford-Pettis criterion of weak compactness ⋮ ℓ₂-strictly singular operators on the predual of a hyperfinite von Neumann algebra ⋮ A general Beurling-Helson-Lowdenslager theorem on the disk
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the weak Dunford-Pettis property
- Martingale inequalities in rearrangement invariant function spaces
- Double operator integrals
- Cotype and type of Lorentz function spaces
- Banach-Saks property in Marcinkiewicz spaces
- The Banach--Saks \(p\)-property
- Weak compactness criteria in symmetric spaces of measurable operators
- Cesaro Convergence of Martingale Difference Sequences and the Banach-Saks and Szlenk Theorems
- A Characterization of Banach Spaces Containing l 1
- DE LA VALLÉE POUSSIN'S THEOREM AND WEAKLY COMPACT SETS IN ORLICZ SPACES
- Calderón couples of rearrangement invariant spaces
- On the convergence in mean of martingale difference sequenceS
- The Banach-Saks index
- The Schur and (weak) Dunford-Pettis properties in Banach lattices
- The Banach–Saks property in rearrangement invariant spaces
- Sur les suites faiblement convergentes dans l'espace L
This page was built for publication: Cesaro mean convergence of martingale differences in rearrangement invariant spaces