An extension of the Maurey Factorization Theorem
DOI10.1080/03081087.2018.1503632zbMath1503.47025OpenAlexW2885592840WikidataQ114641429 ScholiaQ114641429MaRDI QIDQ5210720
Publication date: 21 January 2020
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081087.2018.1503632
cotypetypealmost summing operators\(p\)-summing operatorsnuclear operatorsMaurey factorization theory
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Local theory of Banach spaces (46B07) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Spaces of operators; tensor products; approximation properties (46B28) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68)
Related Items (1)
Cites Work
- The splitting property for \((p,S)\)-summing operators
- Some classes of \(p\)-summing type operators
- Maurey--Rosenthal factorization of positive operators and convexity
- On subspaces of L\(^p\)
- On Banach spacesXfor which Π2(X,L1) = N1(X,L1)
- 2-summing multiplication operators
- Multiple summing operators on lpspaces
- Domination of operators on function spaces
- Remarks on (Q, P, Y)-Summing Operators
- 2-summing operators on l_2(x)
- Factorization and extension of positive homogeneous polynomials
- On Banach spaces X for which $Π_{2}(ℒ_{∞},X)=B(ℒ_{∞},X)$
- Variants of the Maurey-Rosenthal theorem for quasi Köthe function spaces
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