The space is primary for 1 < p < ∞

DOI10.1017/fms.2022.25zbMath1495.46013arXiv2102.10088OpenAlexW4285245027MaRDI QIDQ5864312

Paul F. X. Müller, Pavlos Motakis, Richard Lechner, Thomas Schlumprecht

Publication date: 7 June 2022

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.10088

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Spaces of operators; tensor products; approximation properties (46B28) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Probabilistic methods in Banach space theory (46B09)

Related Items

Factorization property in rearrangement invariant spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A hereditarily indecomposable \(\mathcal L_{\infty}\)-space that solves the scalar-plus-compact problem
• Primarité de \(\ell_p(L^1)\)
• On the primarity of \(H^{\infty}\)-spaces
• Operator-valued Fourier Haar multipliers
• Primarité de \(L^ p(L^ r)\), \(1<p,r<\infty\)
• Rademacher series in symmetric spaces
• Multipliers of the Haar series
• Approximation of zonoids by zonotopes
• Operator-valued Fourier-Haar multipliers on vector-valued \({L^1}\) spaces. II: A characterisation of finite dimensionality
• Strategically reproducible bases and the factorization property
• Operator-valued Fourier Haar multipliers on vector-valued \(L^{1}\) spaces
• Contributions to the theory of the classical Banach spaces
• A remark on the multipliers of the Haar basis of L¹[0,1]
• The Unconditional Basic Sequence Problem
• Projections in certain Banach spaces
• The Three-Space Problem for L 1
• Weakly null sequences in 𝐿₁
• Operators on the stopping time space
• ON THE STOPPING TIME BANACH SPACE
• Symmetric structures in Banach spaces
• Subspaces of $L^{1}$ containing $L^{1}$
• On primary Banach spaces
• Normalized weakly null sequence with no unconditional subsequence
• Primarite de L p (X)
• Commutators on 𝐿_{𝑝}, 1≤𝑝<∞
• The factorisation property ofl^∞(X_k)
• The l ^∞ direct sum of L ^p (1 < p < ∞) is primary
• On relatively disjoint families of measures, with some applications to Banach space theory
• The Banach Space B(l ² ) is Primary