Listar Dpto. Estadística, Informática y Matemáticas - Estatistika, Informatika eta Matematika Saila [desde mayo 2018 / 2018ko maiatzetik] por tema "Quasi-Banach space"
Mostrando ítems 1-8 de 8
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Addendum to "uniqueness of unconditional basis of infinite direct sums of quasi-Banach spaces"
Albiac Alesanco, Fernando José
; Ansorena, José L. (Springer, 2022)
Artículo / Artikulua 
After [Uniqueness of unconditional basis of infinite direct sums of quasi-Banach spaces, Positivity 26 (2022), Paper no. 35] was published, we realized that Theorem 4.2 therein, when combined with work of Casazza and Kalton ... -
Embeddability of ℓp and bases in Lipschitz free p-spaces for 0 < p ≤ 1
Albiac Alesanco, Fernando José ; Ansorena, José L.; Cúth, Marek; Doucha, Michal (Elsevier, 2020)
Artículo / Artikulua
Our goal in this paper is to continue the study initiated by the authors in of the geometry of the Lipschitz free p-spaces over quasimetric spaces for 0 < p ≤ 1, denoted Fp(M). Here we develop new techniques to show that, ... -
Lipschitz free spaces isomorphic to their infinite sums and geometric applications
Albiac Alesanco, Fernando José ; Ansorena, José L.; Cúth, Marek; Doucha, Michal (American Mathematical Society, 2021)
Artículo / Artikulua
We find general conditions under which Lipschitz-free spaces over metric spaces are isomorphic to their infinite direct _1-sum and exhibit several applications. As examples of such applications we have that Lipschitz-free ... -
On a 'philosophical' question about Banach envelopes
Albiac Alesanco, Fernando José ; Ansorena, José L.; Wojtaszczyk, Przemyslaw (Springer, 2021)
Artículo / Artikulua
We show how to construct non-locally convex quasi-Banach spaces X whose dual separates the points of a dense subspace of X but does not separate the points of X. Our examples connect with a question raised by Pietsch (Rev ... -
Projections and unconditional bases in direct sums of ℓp SPACES, 0<p≤∞
Albiac Alesanco, Fernando José ; Ansorena, José L. (Wiley, 2021)
Artículo / Artikulua
We show that every unconditional basis in a finite direct sum ⊕p∈Aℓp , with A ⊂ (0,∞], splits into unconditional bases of each summand. This settles a 40 years old question raised in 'A. Ortyński, Unconditional bases in ... -
Structure of the Lipschitz free p-spaces Fp(Zd) and Fp(Rd) for 0 < p ≤ 1
Albiac Alesanco, Fernando José ; Ansorena, José L.; Cúth, Marek; Doucha, Michal (Springer, 2021)
Artículo / Artikulua
Our aim in this article is to contribute to the theory of Lipschitz free p-spaces for 0 < p ≤ 1 over the Euclidean spaces Rd and Zd. To that end, on one hand we show that Fp(Rd) admits a Schauder basis for every p ∈ 2 (0, ... -
Uniqueness of unconditional basis of infinite direct sums of quasi-Banach spaces
Albiac Alesanco, Fernando José ; Ansorena, José L. (Kluwer Academic Publishers, 2022)
Artículo / Artikulua
This paper is devoted to providing a unifying approach to the study of the uniqueness of unconditional bases, up to equivalence and permutation, of infinite direct sums of quasi-Banach spaces. Our new approach to this type ... -
Uniqueness of unconditional basis of ℓ2⊕T(2)
Albiac Alesanco, Fernando José ; Ansorena, José L. (American Mathematical Society, 2022)
Artículo / Artikulua
We provide a new extension of Pitt’s theorem for compact operators between quasi-Banach lattices which permits to describe unconditional bases of finite direct sums of Banach spaces X1 · · · Xn as direct sums of unconditional ...
