dc.creator | Berasategui, Miguel Hernán | |
dc.creator | Carando, Daniel Germán | |
dc.date.accessioned | 2021-11-09T13:37:26Z | |
dc.date.accessioned | 2022-10-15T07:24:48Z | |
dc.date.available | 2021-11-09T13:37:26Z | |
dc.date.available | 2022-10-15T07:24:48Z | |
dc.date.created | 2021-11-09T13:37:26Z | |
dc.date.issued | 2020-07 | |
dc.identifier | Berasategui, Miguel Hernán; Carando, Daniel Germán; Unconditional Schauder frames of translates in Lp(ℝd); Hebrew Univ Magnes Press; Israel Journal Of Mathematics; 238; 2; 7-2020; 687-713 | |
dc.identifier | 0021-2172 | |
dc.identifier | http://hdl.handle.net/11336/146417 | |
dc.identifier | CONICET Digital | |
dc.identifier | CONICET | |
dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/4360119 | |
dc.description.abstract | We show that, for 1 < p ≤ 2, the space Lp(ℝd) does not admit unconditional Schauder frames {fi, f′i}i∈ℕ where {fi} is a sequence of translates of finitely many functions and {f′i} is seminormalized. In fact, the only subspaces of Lp(ℝd) admitting such Banach frames are those isomorphic to ℓp. On the other hand, if 2 < p < +∞ and {λi}i∈ℕ ⊆ ℝd is an unbounded sequence, there is a subsequence {λmi}i∈ℕ, a function f ∈ Lp(ℝd), and a seminormalized sequence of bounded functionals {λ′i}i∈ℕ such that {Tλmif,fi′}i∈ℕ is an unconditional Schauder frame for Lp(ℝd). | |
dc.language | eng | |
dc.publisher | Hebrew Univ Magnes Press | |
dc.relation | info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/10.1007/s11856-020-2041-9 | |
dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s11856-020-2041-9 | |
dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | |
dc.rights | info:eu-repo/semantics/restrictedAccess | |
dc.subject | Schauder frames | |
dc.subject | Unconditionality | |
dc.subject | Frames of translates | |
dc.title | Unconditional Schauder frames of translates in Lp(ℝd) | |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:ar-repo/semantics/artículo | |
dc.type | info:eu-repo/semantics/publishedVersion | |