Entropy numbers of diagonal operators between symmetric Banach spaces

From MaRDI portal
Publication:1170710

DOI10.1016/0021-9045(84)90021-2zbMath0497.41017OpenAlexW2022493922MaRDI QIDQ1170710

Carsten Schuett

Publication date: 1984

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(84)90021-2




Related Items (66)

Approximation of functions with small mixed smoothness in the uniform normEntropy numbers of Sobolev embeddings of radial Besov spaces.Entropy numbers of embedding operators for weighted Sobolev spacesA Remark on Projections of the Rotated Cube to Complex LinesSampling discretization of integral norms of the hyperbolic cross polynomialsCarl's inequality for quasi-Banach spacesWeyl and Bernstein numbers of embeddings of Sobolev spaces with dominating mixed smoothnessEstimates for the entropy numbers of embedding operators of function spaces on sets with tree-like structure: some limiting casesUniversal discretizationVolume ratio and other s-numbers of operators related to local properties of Banach spacesQuantization and Compressive SensingA remark on entropy numbersKolmogorov numbers of Riemann-Liouville operators over small sets and applications to Gaussian processesEntropy numbers of embeddings of Schatten classesEntropy numbers of finite dimensional mixed-norm balls and function space embeddings with small mixed smoothnessQuantization of compressive samples with stable and robust recoveryNonlinear approximation in finite-dimensional spacesThe Gelfand widths of \(\ell_p\)-balls for \(0 < p \leq 1\)On the volume of unit balls of finite-dimensional Lorentz spacesEntropy numbers of compact embeddings of smoothness Morrey spaces on bounded domainsSchütt's theorem for vector-valued sequence spacesExtrapolation estimates for entropy numbersEntropy numbers of diagonal operators on Orlicz sequence spacesMorrey sequence spaces: Pitt's theorem and compact embeddingsCounting Via Entropy: New Preasymptotics for the Approximation Numbers of Sobolev EmbeddingsRandom polytopes obtained by matrices with heavy-tailed entriesEntropy numbers of embedding operators of function spaces on sets with tree-like structureALMOST EUCLIDEAN SECTIONS OF THE N-DIMENSIONAL CROSS-POLYTOPE USING O(N) RANDOM BITSEntropy numbers of Besov classes of generalized smoothness on the sphereAdaptively combined forecasting for discrete response time seriesEntropy numbers of finite-dimensional embeddingsBounds for entropy numbers for some critical operatorsEntropy numbers in sequence spaces with an application to weighted function spacesEntropy of \(C(K)\)-valued operatorsEntropy numbers and lattice arrangements in l (Γ)Entropy numbers of spheres in Banach and quasi-Banach spacesWidths of embeddings in function spacesOn the entropy numbers of the mixed smoothness function classesWeighted covering numbers of convex setsSome properties of block-radial functions and Schrödinger type operators with block-radial potentialsMetric entropy of convex hulls in type $p$ spaces—The critical caseEntropy numbers of operators acting between vector‐valued sequence spacesMatching Theorems and Empirical Discrepancy Computations using Majorizing MeasuresApproximation of entropy numbersA lower estimate for entropy numbersLogarithmic reduction of the level of randomness in some probabilistic geometric constructionsCritically large entropy of absolutely convex hulls in Banach spaces of type \(p\)A probabilistic approach to the geometry of the \(\ell^n_p\)-ballEntropy numbers of embeddings of Besov spaces in generalized Lipschitz spacesAsymptotic estimates on the von Neumann inequality for homogeneous polynomialsEntropy numbers of embeddings of function spaces on sets with tree-like structure: some generalized limiting casesEntropy numbers of convex hulls in Banach spaces and applicationsConvex Bodies with Few FacesThe smallest singular value of inhomogeneous square random matricesEntropy numbers and Marcinkiewicz-type discretizationSome new bounds on the entropy numbers of diagonal operatorsEntropy and sampling numbers of classes of ridge functionsEstimates of entropy numbers in probabilistic settingSampling discretization of integral normsEmbeddings in spaces of Lipschitz type, entropy and approximation numbers, and applicationsA note about EC-\((s, t)\)-weak tractability of multivariate approximation with analytic Korobov kernelsInequalities of Bernstein-Jackson-type and the degree of compactness of operators in Banach spacesEntropy numbers in weighted function spaces. The case of intermediate weightsSome estimates on entropy numbersUniversal bases and greedy algorithms for anisotropic function classesEntropy numbers of vector-valued diagonal operators.



Cites Work


This page was built for publication: Entropy numbers of diagonal operators between symmetric Banach spaces