Zobrazeno 1 - 10
of 145
pro vyhledávání: '"Ansorena, José L."'
Autor:
Ansorena, José L., Bello, Glenier
We prove that for $1\le p,q\le\infty$ the mixed-norm spaces $L_q(L_p)$ are mutually non-isomorphic, with the only exception that $L_q(L_2)$ is isomorphic to $L_q(L_q)$ for all $1
Externí odkaz:
http://arxiv.org/abs/2411.10576
Property~(A) is a week symmetry condition that plays a fundamental role in the characterization of greedy-type bases in the isometric case, i.e., when the constants involved in the study of the efficiency of the thresholding greedy algorithm in Banac
Externí odkaz:
http://arxiv.org/abs/2409.04883
Autor:
Albiac, Fernando, Ansorena, Jose L.
The aim of this paper is twofold. On the one hand, we manage to identify Banach-valued Hardy spaces of analytic functions over the disc $\mathbb{D}$ with other classes of Hardy spaces, thus complementing the existing literature on the subject. On the
Externí odkaz:
http://arxiv.org/abs/2409.04866
Autor:
Ansorena, José L., Bello, Glenier
Publikováno v:
Positivity (2024)
We find conditions on a function space $\bf{L}$ that ensure that it behaves as an $L_p$-space in the sense that any unconditional basis of a complemented subspace of $\bf{L}$ either is equivalent to the unit vector system of $\ell_2$ or has a subbasi
Externí odkaz:
http://arxiv.org/abs/2407.18660
Although the basic idea behind the concept of a greedy basis had been around for some time, the formal development of a theory of greedy bases was initiated in 1999 with the publication of the article [S.~V.~Konyagin and V.~N.~Temlyakov, A remark on
Externí odkaz:
http://arxiv.org/abs/2405.20939
The main results in this paper contribute to bring to the fore novel underlying connections between the contemporary concepts and methods springing from greedy approximation theory with the well established techniques of classical Banach spaces. We d
Externí odkaz:
http://arxiv.org/abs/2305.12253
We continue the study initiated in [F. Albiac and P. Wojtaszczyk, Characterization of $1$-greedy bases, J. Approx. Theory 138 (2006), no. 1, 65-86] of properties related to greedy bases in the case when the constants involved are sharp, i.e., in the
Externí odkaz:
http://arxiv.org/abs/2304.05888
Autor:
Albiac, Fernando, Ansorena, José L.
Tsirelson's space $\mathcal{T}$ made its appearance in Banach space theory in 1974 soon to become one of the most significant counterexamples in the theory. Its structure broke the ideal pattern that analysts had conceived for a generic Banach space,
Externí odkaz:
http://arxiv.org/abs/2211.11090
Elton's near unconditionality and quasi-greediness for largest coefficients are two properties of bases that made their appearance in functional analysis from very different areas of research. One of our aims in this note is to show that, oddly enoug
Externí odkaz:
http://arxiv.org/abs/2209.03445
We prove that the sequence spaces $\ell_p\oplus\ell_q$ and the spaces of infinite matrices $\ell_p(\ell_q)$, $\ell_q(\ell_p)$ and $(\bigoplus_{n=1}^\infty \ell_p^n)_{\ell_q}$, which are isomorphic to certain Besov spaces, have an almost greedy basis
Externí odkaz:
http://arxiv.org/abs/2208.10203