Dichotomy theorems for random matrices and closed ideals of operators on (⊕n=1∞ℓ1n)c0

DOI10.1112/jlms/jdr083zbMath1255.46007arXiv1009.2923OpenAlexW2151296166MaRDI QIDQ2909050

Thomas Schlumprecht, Niels Jakob Laustsen, András Zsák, Edward Odell

Publication date: 29 August 2012

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.2923

zbMATH Keywords

random matricesdichotomy theoremsclosed ideals of operators

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Spaces of operators; tensor products; approximation properties (46B28) Probabilistic methods in Banach space theory (46B09) Operator ideals (47L20) Topological algebras of operators (46H35)

Related Items (7)

Uniqueness of the maximal ideal of operators on the ℓ_p-sum of ℓ_∞ⁿ (n ∈ ) for 1 < p < ∞ ⋮ Uniqueness of the maximal ideal of the Banach algebra of bounded operators on \(C([0, \omega_1)\)] ⋮ Maximal Ideals in Some Spaces of Bounded Linear Operators ⋮ Operators on \(L_{p}\) \((2<p<\infty)\) which factor through \(X_{p}\) ⋮ Closed ideals of operators acting on some families of sequence spaces ⋮ Ideals of operators on $(\oplus \ell ^\infty (n))_{\ell ^1}$ ⋮ THE MAXIMAL IDEAL IN THE SPACE OF OPERATORS ON

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