On subspaces of L\(^p\)
From MaRDI portal
Publication:2557879
DOI10.2307/1970850zbMath0253.46049OpenAlexW1972352918MaRDI QIDQ2557879
Publication date: 1973
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1970850
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Banach spaces of continuous, differentiable or analytic functions (46E15)
Related Items
On weakly compact operators on \(C^*\)-algebras, Types et suites symétriques dans \(L^ p\), \(1\leq p<+\infty\), p\(\neq 2\). (Types and symmetric sequences in \(L^ p\), \(1\leq p<+\infty\), p\(\neq 2)\), Multilinear variants of the Maurey factorization theorem, Twisted Sums of Sequence Spaces and the Three Space Problem, Maurey--Rosenthal factorization of positive operators and convexity, ON Subspaces OF NON-Reflexive Orlicz Spaces, Unnamed Item, Factorization of operators through \(L_{p\infty}\) or \(L_{p1}\) and non- commutative generalizations, Translation invariant maps on function spaces over locally compact groups, Weakly compact operators on Jordan triples, Yet on linear structures of norm-attaining functionals on Asplund spaces, Fundamental functions of almost greedy bases of \(L_p\) for \(1<p< \infty\), On positive operators on some ordered Banach spaces, On Hanner type inequalities with a weight for Banach spaces, Grothendieck's theorem and factorization of operators in Jordan triples, On Riesz subsets of Abelian discrete groups, Unnamed Item, Stochastic integrators, Bounded orthogonal systems and the \(\Lambda\) (p)-set problem, On the equality of injective and projective tensor products, Spaces of integrable functions with respect to a vector measure and factorizations through \(L^{p}\) and Hilbert spaces, Almost exchangeable sequences of random variables, Unnamed Item, Factorization through Lorentz spaces for operators acting in Banach function spaces, Reflexive subspaces of the space \(C^*_A\), Perturbation of \(\ell_1\)-copies in preduals of \(\operatorname{JBW}^\ast\)-triples, Disjointly non-singular operators: extensions and local variations, Intermediate classes of nuclear multilinear operators, Unnamed Item, FACTORIZATION OF OPERATORS THROUGH SUBSPACES OF -SPACES, Binary Orlicz spaces, Unnamed Item, On Lattice Summing Operators, HOW THE DISTANCE BETWEEN SUBSPACES IN THE METRIC OF A SPHERICAL OPENING AFFECTS THE GEOMETRIC STRUCTURE OF A SYMMETRIC SPACE, A characterization of non-Dunford-Pettis operators on \(L^ 1\)., On subspaces of non-commutative \(L_{p}\)-spaces., Random embedding of \({\ell_p^n}\) into \({\ell_r^N}\), The structure of subspaces in Orlicz spaces lying between \(L^1\) and \(L^2\), On almost symmetric sequences in \(L_ p\), Moduli of convexity and smoothness of reflexive subspaces of \(L^{1}\), Continuous logic and embeddings of Lebesgue spaces, Embeddings of non-commutative \(L^p\)-spaces into preduals of finite von Neumann algebras, Some techniques on nonlinear analysis and applications, Applications of Banach ideals of operators, Grothendieck’s Theorem, past and present, Theorems of Hardy and Paley for Vector-Valued Analytic Functions and Related Classes of Banach Spaces, $L^p$-convolution operators and tensor products of Banach spaces, On the theory of vector valued Loeb measures and integration, Rosenthal's theorem for subspaces of noncommutative \(L_p\), The Banach spaces 𝐶(𝐾) and 𝐿^{𝑝}(𝜇)¹, Isometric embeddability of \(S_q^m\) into \(S_p^n\), Multiplication operators on \(L(L_{p})\) and \(\ell_{p}\)-strictly singular operators, Subspace structure of Lorentz \(L_{p,q}\) spaces and strictly singular operators, AN OPERATOR SUMMABILITY OF SEQUENCES IN BANACH SPACES, \({\Lambda}(p)\)-spaces, Optimal importance sampling for the approximation of integrals, Maurey's factorization theory for operator spaces, Ultrapowers of \(L_1(\mu)\) and the subsequence splitting principle, Les espaces de type et cotype 2, d'après Bernard Maurey et leurs applications, On Banach lattices and spaces having local unconditional structure, with applications to Lorentz function spaces, On the local structure of subspaces of Banach lattices, Some new rich subspaces of C. Applications, The injective tensor product of ℒp-algebras, Perturbation classes for semi-Fredholm operators on \(L_p(\mu)\)-spaces, Domination of operators on function spaces, Complemented subspaces of symmetric function spaces, Gaussian characterizations of certain Banach spaces, Une nouvelle classe d'espace de Banach vérifiant le théorème de Grothendieck, Opérateurs p-absolument sommables sur \(L_1(\mu)\), Banach lattice versions of strict singularity, An extension of the Maurey Factorization Theorem, Absolutely \((q, 1)\)-summing operators acting in \(C(K)\)-spaces and the weighted Orlicz property for Banach spaces, Bibasic sequences in Banach lattices, Martingale Transforms and Complex Uniform Convexity, Weak Banach-Saks property and Komlós’ theorem for preduals of JBW*-triples, Embeddings of ℓp into Non-commutative Spaces, Uniform convergence of operators and Grothendieck spaces with the Dunford-Pettis property, Factoring operators through Banach lattices not containing C(0,1), Asymmetry and projection constants of Banach spaces, Representation and factorization theorems for almost-\(L^p\)-spaces, Extracting almost symmetric sequences in rearrangement invariant spaces, Some results concerning L\(^p(\mu)\)-spaces, Lacunary trigonometric series and complementarity in \(L^ p\)., Nonexistence of Besselian basis in C(S), Weakly compact operators on \(H^{\infty}\), The weak topology on q-convex Banach function spaces, On weak compactness in \(L_1\) spaces, Weakly null sequences in 𝐿₁, Unnamed Item, For which \(p\) and \(r\) is the equation \(\Pi_p(L^r,.)=I_p(L^r,.)\) true?, On an isomorphic Banach-Mazur rotation problem and maximal norms in Banach spaces, Embedding \(l_ p^ m\) into \(l_ 1^ n\)