Matches in SemOpenAlex for { <https://semopenalex.org/work/W4313303618> ?p ?o ?g. }
Showing items 1 to 83 of
83
with 100 items per page.
- W4313303618 abstract "Let $Y$ be a subspace of a topological vector space $X$, and $Asubset X$ an open convex set that intersects $Y$. We say that the property $(QE)$ [property $(CE)$] holds if every continuous quasiconvex [continuous convex] function on $Acap Y$ admits a continuous quasiconvex [continuous convex] extension defined on $A$. We study relations between $(QE)$ and $(CE)$ properties, proving that $(QE)$ always implies $(CE)$ and that, under suitable hypotheses (satisfied for example if $X$ is a normed space and $Y$ is a closed subspace of $X$), the two properties are equivalent. By combining the previous implications between $(QE)$ and $(CE)$ properties with known results about the property $(CE)$, we obtain some new positive results about the extension of quasiconvex continuous functions. In particular, we generalize the results contained in cite{DEQEX} to the infinite-dimensional separable case. Moreover, we also immediately obtain existence of examples in which $(QE)$ does not hold." @default.
- W4313303618 created "2023-01-06" @default.
- W4313303618 creator A5020844295 @default.
- W4313303618 creator A5028436267 @default.
- W4313303618 date "2022-12-28" @default.
- W4313303618 modified "2023-09-23" @default.
- W4313303618 title "Extendability of continuous quasiconvex functions from subspaces" @default.
- W4313303618 doi "https://doi.org/10.48550/arxiv.2212.13789" @default.
- W4313303618 hasPublicationYear "2022" @default.
- W4313303618 type Work @default.
- W4313303618 citedByCount "0" @default.
- W4313303618 crossrefType "posted-content" @default.
- W4313303618 hasAuthorship W4313303618A5020844295 @default.
- W4313303618 hasAuthorship W4313303618A5028436267 @default.
- W4313303618 hasBestOaLocation W43133036181 @default.
- W4313303618 hasConcept C111472728 @default.
- W4313303618 hasConcept C111919701 @default.
- W4313303618 hasConcept C112680207 @default.
- W4313303618 hasConcept C114614502 @default.
- W4313303618 hasConcept C118615104 @default.
- W4313303618 hasConcept C12362212 @default.
- W4313303618 hasConcept C134306372 @default.
- W4313303618 hasConcept C138885662 @default.
- W4313303618 hasConcept C14036430 @default.
- W4313303618 hasConcept C145446738 @default.
- W4313303618 hasConcept C157972887 @default.
- W4313303618 hasConcept C189950617 @default.
- W4313303618 hasConcept C199360897 @default.
- W4313303618 hasConcept C202444582 @default.
- W4313303618 hasConcept C2524010 @default.
- W4313303618 hasConcept C2778029271 @default.
- W4313303618 hasConcept C2778199601 @default.
- W4313303618 hasConcept C2778572836 @default.
- W4313303618 hasConcept C32834561 @default.
- W4313303618 hasConcept C33923547 @default.
- W4313303618 hasConcept C41008148 @default.
- W4313303618 hasConcept C49870271 @default.
- W4313303618 hasConcept C70710897 @default.
- W4313303618 hasConcept C78458016 @default.
- W4313303618 hasConcept C80278974 @default.
- W4313303618 hasConcept C86803240 @default.
- W4313303618 hasConceptScore W4313303618C111472728 @default.
- W4313303618 hasConceptScore W4313303618C111919701 @default.
- W4313303618 hasConceptScore W4313303618C112680207 @default.
- W4313303618 hasConceptScore W4313303618C114614502 @default.
- W4313303618 hasConceptScore W4313303618C118615104 @default.
- W4313303618 hasConceptScore W4313303618C12362212 @default.
- W4313303618 hasConceptScore W4313303618C134306372 @default.
- W4313303618 hasConceptScore W4313303618C138885662 @default.
- W4313303618 hasConceptScore W4313303618C14036430 @default.
- W4313303618 hasConceptScore W4313303618C145446738 @default.
- W4313303618 hasConceptScore W4313303618C157972887 @default.
- W4313303618 hasConceptScore W4313303618C189950617 @default.
- W4313303618 hasConceptScore W4313303618C199360897 @default.
- W4313303618 hasConceptScore W4313303618C202444582 @default.
- W4313303618 hasConceptScore W4313303618C2524010 @default.
- W4313303618 hasConceptScore W4313303618C2778029271 @default.
- W4313303618 hasConceptScore W4313303618C2778199601 @default.
- W4313303618 hasConceptScore W4313303618C2778572836 @default.
- W4313303618 hasConceptScore W4313303618C32834561 @default.
- W4313303618 hasConceptScore W4313303618C33923547 @default.
- W4313303618 hasConceptScore W4313303618C41008148 @default.
- W4313303618 hasConceptScore W4313303618C49870271 @default.
- W4313303618 hasConceptScore W4313303618C70710897 @default.
- W4313303618 hasConceptScore W4313303618C78458016 @default.
- W4313303618 hasConceptScore W4313303618C80278974 @default.
- W4313303618 hasConceptScore W4313303618C86803240 @default.
- W4313303618 hasLocation W43133036181 @default.
- W4313303618 hasOpenAccess W4313303618 @default.
- W4313303618 hasPrimaryLocation W43133036181 @default.
- W4313303618 hasRelatedWork W1987348342 @default.
- W4313303618 hasRelatedWork W2006953558 @default.
- W4313303618 hasRelatedWork W2065530191 @default.
- W4313303618 hasRelatedWork W2129848733 @default.
- W4313303618 hasRelatedWork W2356447375 @default.
- W4313303618 hasRelatedWork W2950743314 @default.
- W4313303618 hasRelatedWork W3001524933 @default.
- W4313303618 hasRelatedWork W4229082471 @default.
- W4313303618 hasRelatedWork W4299991118 @default.
- W4313303618 hasRelatedWork W4301431001 @default.
- W4313303618 isParatext "false" @default.
- W4313303618 isRetracted "false" @default.
- W4313303618 workType "article" @default.