Maria D. Acosta
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Maria D. Acosta has a total of 50 co-authors. Here are the top co-authors by number of shared publications:
- Manuel Maestre
Departamento de Análisis Matemático, Universidad de Valencia, Burjasot, Spain
8 shared publications Julio Becerra Guerrero
Universidad de Granada, Spain
7 shared publicationsDomingo García
Universitat de València, Burjassot (València), Spain
5 shared publications- Manuel Ruiz Galan
Univ Granada, Dept Appl Math, Granada, Spain
5 shared publications - Maryam Soleimani-Mourchehkhorti
SCHOOL OF MATHEMATICS, INSTITUTE FOR RESEARCH IN FUNDAMENTAL SCIENCES (IPM), TEHRAN, IRAN
5 shared publications - Sun Kwang Kim
Chungbuk National University
5 shared publications
Latest Publications
- 8 June 2024
- Published by Springer Nature in Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas
- Vol. 118 (3) , 1-18
On the Bishop–Phelps–Bollobás property for positive functionals
- 8 June 2024
- Published by Springer Nature in Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas
- Vol. 118 (3) , 1-18
On the Bishop–Phelps–Bollobás property for positive functionals
- 12 August 2022
- Published by Springer Nature in Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas
- Vol. 116 (4) , 1-10
Bishop–Phelps–Bollobás property for positive operators when the domain is $C_0(L) $- 12 August 2022
- Published by Springer Nature in Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas
- Vol. 116 (4) , 1-10
Bishop–Phelps–Bollobás property for positive operators when the domain is $C_0(L) $- 1 May 2021
- Published by Springer Nature in Science China Mathematics
- Vol. 64 (5) , 1011-1028
Stability results of properties related to the Bishop-Phelps-Bollobas property for operators
- 1 May 2021
- Published by Springer Nature in Science China Mathematics
- Vol. 64 (5) , 1011-1028
Stability results of properties related to the Bishop-Phelps-Bollobas property for operators
- 1 October 2020
- Published by Elsevier in Journal of Functional Analysis
- Vol. 279 (6)
A basis of with good isometric properties and some applications to denseness of norm attaining operators- 1 October 2020
- Published by Elsevier in Journal of Functional Analysis
- Vol. 279 (6)
A basis of with good isometric properties and some applications to denseness of norm attaining operators- 25 February 2020
- Published by Oxford University Press (OUP) in The Quarterly Journal of Mathematics
- Vol. 71 (2) , 557-572
The Composition Operation on Spaces of Holomorphic Mappings
We discuss the continuity of the composition on several spaces of holomorphic mappings on open subsets of a complex Banach space. On the Fréchet space of entire mappings that are bounded on bounded sets, the composition turns out to be even holomorphic. In such a space, we consider linear subspaces closed under left and right composition. We discuss the relationship of such subspaces with ideals of operators and give several examples of them. We also provide natural examples of spaces of holomorphic mappings where the composition is not continuous.
- 25 February 2020
- Published by Oxford University Press (OUP) in The Quarterly Journal of Mathematics
- Vol. 71 (2) , 557-572
The Composition Operation on Spaces of Holomorphic Mappings
We discuss the continuity of the composition on several spaces of holomorphic mappings on open subsets of a complex Banach space. On the Fréchet space of entire mappings that are bounded on bounded sets, the composition turns out to be even holomorphic. In such a space, we consider linear subspaces closed under left and right composition. We discuss the relationship of such subspaces with ideals of operators and give several examples of them. We also provide natural examples of spaces of holomorphic mappings where the composition is not continuous.
- Open Access
Stability results of properties related to the Bishop-Phelps-Bollobás property for operators
We prove that the class of Banach spaces $Y$ such that the pair $(\ell_1, Y)$ has the Bishop-Phelps-Bollob\'as property for operators is stable under finite products when the norm of the product is given by an absolute norm. We also provide examples showing that previous stability results obtained for that property are optimal.Open AccessStability results of properties related to the Bishop-Phelps-Bollobás property for operators
We prove that the class of Banach spaces $Y$ such that the pair $(\ell_1, Y)$ has the Bishop-Phelps-Bollob\'as property for operators is stable under finite products when the norm of the product is given by an absolute norm. We also provide examples showing that previous stability results obtained for that property are optimal. - 1 February 2019
- Published by Elsevier in Journal of Mathematical Analysis and Applications
- Vol. 470 (2) , 690-715
Characterization of Banach spaces Y satisfying that the pair has the Bishop–Phelps–Bollobás property for operators- 1 February 2019
- Published by Elsevier in Journal of Mathematical Analysis and Applications
- Vol. 470 (2) , 690-715
Characterization of Banach spaces Y satisfying that the pair has the Bishop–Phelps–Bollobás property for operators- 1 January 2019
- Published by Institute of Mathematics, Polish Academy of Sciences in Banach Center Publications
- Vol. 119, 13-32
On the Bishop–Phelps–Bollobás property
The Bishop–Phelps Theorem states the denseness of the set of norm attaining functionals in the topological dual of any Banach space. Bollobás obtained a quantitative version of this result showing that a pair $(x, x^*)$ given by an element $x$ in the unit- 1 January 2019
- Published by Institute of Mathematics, Polish Academy of Sciences in Banach Center Publications
- Vol. 119, 13-32
On the Bishop–Phelps–Bollobás property
The Bishop–Phelps Theorem states the denseness of the set of norm attaining functionals in the topological dual of any Banach space. Bollobás obtained a quantitative version of this result showing that a pair $(x, x^*)$ given by an element $x$ in the unit- Open Access
On the continuity of the composition operation on spaces of holomorphic mappings
We discuss the continuity of the composition on several spaces of holomorphic mappings on open subsets of a complex Banach space. On the Fr\'{e}chet space of the entire mappings that are bounded on bounded sets the composition turns to be even holomorphic. In such space we consider linear subspaces closed under left and right composition. We discuss the relationship of such subspaces with ideals of operators and give several examples of them. We also provide natural examples of spaces of holomorphic mappings where the composition is not continuous.
Open AccessOn the continuity of the composition operation on spaces of holomorphic mappings
We discuss the continuity of the composition on several spaces of holomorphic mappings on open subsets of a complex Banach space. On the Fr\'{e}chet space of the entire mappings that are bounded on bounded sets the composition turns to be even holomorphic. In such space we consider linear subspaces closed under left and right composition. We discuss the relationship of such subspaces with ideals of operators and give several examples of them. We also provide natural examples of spaces of holomorphic mappings where the composition is not continuous.
- Open AccessA basis of $\R ^n$ with good isometric properties and some applications to denseness of norm attaining operatorsWe characterize real Banach spaces $Y$ such that the pair $(\ell_\infty ^n, Y)$ has the Bishop-Phelps-Bollob\'as property for operators. To this purpose it is essential the use of an appropriate basis of the domain space $\R^n$. As a consequence of the mentioned characterization, we provide examples of spaces $Y$ satisfying such property. For instance, finite-dimensional spaces, uniformly convex spaces, uniform algebras and $L_1(\mu)$ ($\mu$ a positive measure) satisfy the previous property.Open AccessA basis of $\R ^n$ with good isometric properties and some applications to denseness of norm attaining operatorsWe characterize real Banach spaces $Y$ such that the pair $(\ell_\infty ^n, Y)$ has the Bishop-Phelps-Bollob\'as property for operators. To this purpose it is essential the use of an appropriate basis of the domain space $\R^n$. As a consequence of the mentioned characterization, we provide examples of spaces $Y$ satisfying such property. For instance, finite-dimensional spaces, uniformly convex spaces, uniform algebras and $L_1(\mu)$ ($\mu$ a positive measure) satisfy the previous property.