Lineability and K-linear discontinuous functions

Autor: J. Fernández-Sánchez, D.L. Rodríguez-Vidanes, J.B. Seoane-Sepúlveda, W. Trutschnig

Publikováno v: Linear Algebra and its Applications. 645:52-67

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::24d6039dd3e1fd124dfd842df63560d0
https://doi.org/10.1016/j.laa.2022.03.007

Quantitative and qualitative estimates on the norm of products of polynomials

Autor: Gustavo Araújo, D.L. Rodríguez-Vidanes, Per Enflo, Juan B. Seoane-Sepúlveda, Gustavo A. Muñoz-Fernández

Publikováno v: Israel Journal of Mathematics. 236:727-745

When for the first time, in 1987, a Banach space X and a bounded operator T: X → X without nontrivial invariant subspaces was constructed, one of the many tools used was a series of estimates on the norm of a product of polynomials. Here, we contin

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b6041d65c26e4ec0d1a1749eefecdb89
https://doi.org/10.1007/s11856-020-1987-y

Lineability, differentiable functions and special derivatives

Autor: D.L. Rodríguez-Vidanes, Juan B. Seoane-Sepúlveda, Juan Fernández-Sánchez, Wolfgang Trutschnig

Publikováno v: E-Prints Complutense. Archivo Institucional de la UCM
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The present work either extends or improves several results on lineability of differentiable functions and derivatives enjoying certain special properties. Among many other results, we show that there exist large algebraic structures inside the follo

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c500d6db888f562e8aa3374806460f23
https://eprints.ucm.es/id/eprint/74694/

Additivity coefficients for all classes in the algebra of Darboux-Like maps on R

Autor: D.L. Rodríguez-Vidanes, Krzysztof Ciesielski, Juan B. Seoane-Sepúlveda, Tomasz Natkaniec

Publikováno v: E-Prints Complutense: Archivo Institucional de la UCM
Universidad Complutense de Madrid
E-Prints Complutense. Archivo Institucional de la UCM
instname

The class $$\mathbb D$$ D of generalized continuous functions on $$\mathbb {R}$$ R known under the common name of Darboux-like functions is usually described as consisting of eight families of maps: Darboux, connectivity, almost continuous, extendabl

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::825eb5599f63efe257721bce7c992dfe
https://eprints.ucm.es/id/eprint/63703/1/seoane-additivity-results-oa.pdf

A complete study of the geometry of 2-homogeneous polynomials on circle sectors

Autor: D.L. Rodríguez-Vidanes, Gustavo A. Muñoz-Fernández, Juan B. Seoane-Sepúlveda, Luis Bernal-González

Publikováno v: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 114

We consider the Banach space of two homogeneous polynomials endowed with the supremum norm $$\Vert \cdot \Vert _{D(\beta )}$$ over circle sectors $$D(\beta )$$ of all possible angles $$\beta \in [0,2\pi ]$$ . We provide an explicit formula for $$\Ver

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f5b949bbf7db031149c488b1ca32cd20
https://doi.org/10.1007/s13398-020-00892-6