Entropy numbers of diagonal operators between symmetric Banach spaces
From MaRDI portal
Publication:1170710
DOI10.1016/0021-9045(84)90021-2zbMath0497.41017OpenAlexW2022493922MaRDI QIDQ1170710
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
Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)
Related Items (66)
Approximation of functions with small mixed smoothness in the uniform norm ⋮ Entropy numbers of Sobolev embeddings of radial Besov spaces. ⋮ Entropy numbers of embedding operators for weighted Sobolev spaces ⋮ A Remark on Projections of the Rotated Cube to Complex Lines ⋮ Sampling discretization of integral norms of the hyperbolic cross polynomials ⋮ Carl's inequality for quasi-Banach spaces ⋮ Weyl and Bernstein numbers of embeddings of Sobolev spaces with dominating mixed smoothness ⋮ Estimates for the entropy numbers of embedding operators of function spaces on sets with tree-like structure: some limiting cases ⋮ Universal discretization ⋮ Volume ratio and other s-numbers of operators related to local properties of Banach spaces ⋮ Quantization and Compressive Sensing ⋮ A remark on entropy numbers ⋮ Kolmogorov numbers of Riemann-Liouville operators over small sets and applications to Gaussian processes ⋮ Entropy numbers of embeddings of Schatten classes ⋮ Entropy numbers of finite dimensional mixed-norm balls and function space embeddings with small mixed smoothness ⋮ Quantization of compressive samples with stable and robust recovery ⋮ Nonlinear approximation in finite-dimensional spaces ⋮ The Gelfand widths of \(\ell_p\)-balls for \(0 < p \leq 1\) ⋮ On the volume of unit balls of finite-dimensional Lorentz spaces ⋮ Entropy numbers of compact embeddings of smoothness Morrey spaces on bounded domains ⋮ Schütt's theorem for vector-valued sequence spaces ⋮ Extrapolation estimates for entropy numbers ⋮ Entropy numbers of diagonal operators on Orlicz sequence spaces ⋮ Morrey sequence spaces: Pitt's theorem and compact embeddings ⋮ Counting Via Entropy: New Preasymptotics for the Approximation Numbers of Sobolev Embeddings ⋮ Random polytopes obtained by matrices with heavy-tailed entries ⋮ Entropy numbers of embedding operators of function spaces on sets with tree-like structure ⋮ ALMOST EUCLIDEAN SECTIONS OF THE N-DIMENSIONAL CROSS-POLYTOPE USING O(N) RANDOM BITS ⋮ Entropy numbers of Besov classes of generalized smoothness on the sphere ⋮ Adaptively combined forecasting for discrete response time series ⋮ Entropy numbers of finite-dimensional embeddings ⋮ Bounds for entropy numbers for some critical operators ⋮ Entropy numbers in sequence spaces with an application to weighted function spaces ⋮ Entropy of \(C(K)\)-valued operators ⋮ Entropy numbers and lattice arrangements in l ∞ (Γ) ⋮ Entropy numbers of spheres in Banach and quasi-Banach spaces ⋮ Widths of embeddings in function spaces ⋮ On the entropy numbers of the mixed smoothness function classes ⋮ Weighted covering numbers of convex sets ⋮ Some properties of block-radial functions and Schrödinger type operators with block-radial potentials ⋮ Metric entropy of convex hulls in type $p$ spaces—The critical case ⋮ Entropy numbers of operators acting between vector‐valued sequence spaces ⋮ Matching Theorems and Empirical Discrepancy Computations using Majorizing Measures ⋮ Approximation of entropy numbers ⋮ A lower estimate for entropy numbers ⋮ Logarithmic reduction of the level of randomness in some probabilistic geometric constructions ⋮ Critically large entropy of absolutely convex hulls in Banach spaces of type \(p\) ⋮ A probabilistic approach to the geometry of the \(\ell^n_p\)-ball ⋮ Entropy numbers of embeddings of Besov spaces in generalized Lipschitz spaces ⋮ Asymptotic estimates on the von Neumann inequality for homogeneous polynomials ⋮ Entropy numbers of embeddings of function spaces on sets with tree-like structure: some generalized limiting cases ⋮ Entropy numbers of convex hulls in Banach spaces and applications ⋮ Convex Bodies with Few Faces ⋮ The smallest singular value of inhomogeneous square random matrices ⋮ Entropy numbers and Marcinkiewicz-type discretization ⋮ Some new bounds on the entropy numbers of diagonal operators ⋮ Entropy and sampling numbers of classes of ridge functions ⋮ Estimates of entropy numbers in probabilistic setting ⋮ Sampling discretization of integral norms ⋮ Embeddings in spaces of Lipschitz type, entropy and approximation numbers, and applications ⋮ A note about EC-\((s, t)\)-weak tractability of multivariate approximation with analytic Korobov kernels ⋮ Inequalities of Bernstein-Jackson-type and the degree of compactness of operators in Banach spaces ⋮ Entropy numbers in weighted function spaces. The case of intermediate weights ⋮ Some estimates on entropy numbers ⋮ Universal bases and greedy algorithms for anisotropic function classes ⋮ Entropy numbers of vector-valued diagonal operators.
Cites Work
This page was built for publication: Entropy numbers of diagonal operators between symmetric Banach spaces