Zobrazeno 1 - 10
of 109
pro vyhledávání: '"Jesús M. F. Castillo"'
This book presents an overview of modern Banach space theory. It contains sixteen papers that reflect the wide expanse of the subject. Articles are gathered into five sections according to methodology rather than the topics considered. The sections a
Many researchers in geometric functional analysis are unaware of algebraic aspects of the subject and the advances they have permitted in the last half century. This book, written by two world experts on homological methods in Banach space theory, gi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fe9a1ed50e66bf5c1f2e39f9eb32adc9
https://doi.org/10.1017/9781108778312
https://doi.org/10.1017/9781108778312
Publikováno v:
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 117
We extend and generalize the result of Kalton and Swanson ($$Z_2$$ Z 2 is a symplectic Banach space with no Lagrangian subspace) by showing that all higher order Rochgberg spaces $${\mathfrak {R}}^{(n)}$$ R ( n ) are symplectic Banach spaces with no
Publikováno v:
Studia Mathematica. 258:157-173
This paper contains a study of the separable form $J_s(\cdot)$ of the classical Jung constant. We first establish, following Davis \cite{davis}, that a Banach space $X$ is $1$-separably injective if and only if $J_s(X)=1$. This characterization is th
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
We study the stability of the differential process of Rochberg and Weiss associated with an analytic family of Banach spaces obtained using the complex interpolation method for families. In the context of Köthe function spaces, we complete earlier r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f2bc447ef3fc9e2b8c0ef0b34eedc10d
Publikováno v:
Forum Mathematicum. 31:1533-1556
This paper studies the bounded approximation property (BAP) in quasi-Banach spaces. In the first part of the paper, we show that the kernel of any surjective operator ℓ p → X {\ell_{p}\to X} has the BAP when X has it and 0 < p ≤ 1 {0 , which is
Publikováno v:
Journal of Mathematical Analysis and Applications. 475:1714-1719
In this paper we combine topological and functional analysis methods to prove that a non-locally trivial quasi-linear map defined on a C ( K ) must be nontrivial on a subspace isomorphic to c 0 . We conclude the paper with a few examples showing that
Autor:
Ricardo García, Jesús M. F. Castillo
Publikováno v:
Linear Algebra and its Applications. 566:199-211
Let X be a Banach space and let κ ( X ) denote the kernel of a quotient map l 1 ( Γ ) → X . We show that Ext 2 ( X , X ⁎ ) = 0 if and only if bilinear forms on κ ( X ) extend to l 1 ( Γ ) . From that we obtain i) If κ ( X ) is a L 1 -space t
Autor:
Jesús M. F. Castillo, Daniel Morales
Publikováno v:
Nonlinear Analysis. 215:112630
The Butterfly lemma we present can be considered a reiteration theorem for differentials generated from a complex interpolation process for families of K\"othe spaces. The lemma will be used to clarify the effect of different configurations in the re
Autor:
Jesús M. F. Castillo
Publikováno v:
The Mathematical Legacy of Victor Lomonosov
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5de6d020d9035e94a911bf5a3db77ff1
https://doi.org/10.1515/9783110656756-004
https://doi.org/10.1515/9783110656756-004