Uniform Gâteaux smoothness of higher order on separable Banach spaces
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| Title: | Uniform Gâteaux smoothness of higher order on separable Banach spaces |
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| Authors: | Bednařík, D. |
| Contributors: | University of Hradec Králové. Czech Republic |
| Source: | Dehesa. Repositorio Institucional de la Universidad de Extremadura Universidad de Extremadura (UEX) |
| Publisher Information: | Universidad de Extremadura, Servicio de Publicaciones, 2023. |
| Publication Year: | 2023 |
| Subject Terms: | Geometry and structure of normed linear spaces, Isomorphic theory (including renorming) of Banach spaces, Derivatives of functions in infinite-dimensional spaces, Gâteaux differentiable, 1202.03 Álgebra y Espacios de Banach, equivalent norm, 1202 Análisis y Análisis Funcional, uniformly Gâteaux differentiable, separable Banach spaces, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), bump function, Espacios de Banach |
| Description: | El objetivo de este artículo es mostrar, entre otras cosas, que, en espacios de Banach separables, la presencia de la suavidad con la derivada lipschitziana más alta implica la suavidad uniforme de Gâteaux de grado 1 hacia arriba. The aim of this paper is to show, among other things, that, in separable Banach spaces, the presence of the smoothness with the highest derivative Lipschitzian implies the uniform G^ateaux smoothness of degree 1 up. peerReviewed |
| Document Type: | Article |
| File Description: | application/pdf; application/xml |
| Language: | English |
| Access URL: | http://hdl.handle.net/10662/18959 https://zbmath.org/1791682 |
| Rights: | CC BY NC |
| Accession Number: | edsair.dedup.wf.002..e4f56813af44fc488e9d67aee8cc685c |
| Database: | OpenAIRE |
Nájsť tento článok vo Web of Science | Abstract: | El objetivo de este artículo es mostrar, entre otras cosas, que, en espacios de Banach separables, la presencia de la suavidad con la derivada lipschitziana más alta implica la suavidad uniforme de Gâteaux de grado 1 hacia arriba.<br />The aim of this paper is to show, among other things, that, in separable Banach spaces, the presence of the smoothness with the highest derivative Lipschitzian implies the uniform G^ateaux smoothness of degree 1 up.<br />peerReviewed |
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