On lineability of sets of continuous functions

From MaRDI portal
Publication:596693

DOI10.1016/j.jmaa.2004.01.036zbMath1053.46014OpenAlexW2018957840MaRDI QIDQ596693

Sumit K. Garg

Publication date: 10 August 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.01.036




Related Items

Spaceability of sets in \(L^{p} \times L^{q}\) and \(C_{0}\times C_{0}\)Lineability and \(K\)-linear discontinuous functionsRenormings concerning the lineability of the norm-attaining functionalsInfinite dimensional holomorphic non-extendability and algebraic genericityBanach-Steinhaus theory revisited: lineability and spaceabilityFamilies of strongly annular functions: linear structureLineability and spaceability: a new approachNon-Lipschitz differentiable functions on slit domainsLarge algebras of singular functions vanishing on prescribed setsSpaceability on some classes of Banach spacesLarge structures in certain subsets of Orlicz spacesSpaceability of sets of \(p\)-compact mapsConstructing Banach spaces of vector-valued sequences with special propertiesModes of convergence in nets, counterexamples, and lineabilityCompact and limited operatorsA general lineability criterion for complements of vector spacesUnnamed ItemSpaceablity in weak Morrey spacesUncountably infinite algebraic genericity and spaceability for sequence spacesNon-linear operators and differentiability of Lipschitz functionsOn the spaceability of the set of functions in the Lebesgue space \(L_p\) which are not in \(L_q\)Structure of sets of bounded sequences with a prescribed number of accumulation pointsLineability of universal divergence of Fourier seriesOperator ranges and spaceabilityAdditivity and lineability in vector spacesDense-lineability in spaces of continuous functionsSpaceability of strict order integrabilityUndominated sequences of integrable functionsBasic sequences and spaceability in \(\ell_p\) spacesLineability criteria, with applicationsVECTOR SUBSPACES OF THE SET OF NON-NORM-ATTAINING FUNCTIONALSLineability in subsets of measure and function spacesSpaceability of the set of continuous injections from \(B_{\ell_p}\) into \(\ell_p\) with nowhere continuous inversesAlgebraic genericity and summability within the non-Archimedean settingLinear Structure of Functions with Maximal Clarke SubdifferentialLineability of the set of supporting vectorsThe set of space-filling curves: topological and algebraic structureDivergence behavior of sequences of linear operators with applicationsSpaceability and operator idealsLineability and algebrability within \(p\)-adic function spacesSome results and open questions on spaceability in function spacesStrong algebrability of sets of sequences and functionsLineability of sets of nowhere analytic functionsLineability in the sets of Baire and continuous real functionsLarge linear manifolds of noncontinuable boundary-regular holomorphic functionsDecompositions of Banach spaces \(C(K)\) with few operatorsA spaceability result in the context of hypergroupsPorous sets and lineability of continuous functions on locally compact groupsAlgebraic genericity within the class of sup-measurable functionsStrong \(\mathfrak c\)-algebrability of strong Sierpiński-Zygmund, smooth nowhere analytic and other sets of functions\([\mathcal{S}\)-linear and convex structures in function families] ⋮ Moduleability, algebraic structures, and nonlinear propertiesLineability of summing sets of homogeneous polynomialsAlgebras in sets of queer functionsVector spaces of non-extendable holomorphic functionsSpaceability for sets of bandlimited input functions and stable linear time-invariant systems with finite time blowup behaviorAnti-Fubini and pseudo-Fubini functionsUniversal Taylor series with maximal cluster setsOn the dimension of subspaces of continuous functions attaining their maximum finitely many timesOn lineability and additivity of real functions with finite preimagesHolomorphic surjectivity near the boundary: topological and algebraic genericityNonlinear subsets of function spaces and spaceabilityRiemann integrability and Lebesgue measurability of the composite functionLinear structure of weighted holomorphic non-extendibilityLineability of the set of bounded linear non-absolutely summing operatorsLarge subspaces of compositionally universal functions with maximal cluster setsUnnamed ItemClassical vs. non-Archimedean analysis: an approach via algebraic genericityUnnamed ItemLinearity of sets of strange functionsAlgebrability and nowhere Gevrey differentiabilityLinear subsets of nonlinear sets in topological vector spacesRolewicz-type chaotic operatorsLineability of non-differentiable Pettis primitivesPorosity and the \(\ell^p\)-conjecture for semigroups



Cites Work