Zobrazeno 1 - 8 of 8 pro vyhledávání: '"J. L. Ansorena"'
1
Addendum to 'uniqueness of unconditional basis of infinite direct sums of quasi-Banach spaces'
Autor: F. Albiac, J. L. Ansorena
Publikováno v: Positivity. 26
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 (Israel J. Math. 103:141
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8fdc0931d056a41c60126e30cd89d8f6
https://doi.org/10.1007/s11117-022-00942-w
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2
Banach spaces with a unique greedy basis
Autor: Stephen J. Dilworth, Fernando Albiac, J. L. Ansorena, Denka Kutzarova
Publikováno v: Journal of Approximation Theory. 210:80-102
The purpose of this article is to undertake an in-depth study of the properties of existence and uniqueness of greedy bases in Banach spaces. We show that greedy bases fail to exist for a range of neo-classical spaces within the family of Nakano and
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https://doi.org/10.1016/j.jat.2016.06.005
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3
On Lipschitz Maps, Martingales, and the Radon–Nikodým Property for $${\mathsf{F}}$$ F -Spaces
Autor: F. Albiac, J. L. Ansorena
Publikováno v: Mediterranean Journal of Mathematics. 13:1963-1980
The development of the Radon–Nikodým property in Banach spaces sprang from the study of the differentiability of Lipschitz maps from the real line into a space X. Even though there was no initial reason to restrict attention to the locally convex
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::03d230cc04bcb84afe566801535d0cff
https://doi.org/10.1007/s00009-015-0625-0
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5
Lorentz Spaces and Embeddings Induced by Almost Greedy Bases in Banach Spaces
Autor: J. L. Ansorena, Fernando Albiac
Publikováno v: RIUR. Repositorio Institucional de la Universidad de La Rioja
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The aim of this paper is to undertake a systematic qualitative study of the built-in symmetry of almost greedy bases in Banach spaces. More specifically, by refining the techniques that Wojtaszczyk used in J Approx Theory 107(2), 293314 2000 for quas
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::29e3f774afa80c2faf30458af846994a
https://investigacion.unirioja.es/documentos/5bbc69e3b750603269e8232c
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6
Lipschitz maps and primitives for continuous functions in quasi-Banach spaces
Autor: J. L. Ansorena, Fernando Albiac
Publikováno v: Nonlinear Analysis: Theory, Methods & Applications. 75:6108-6119
We show that for a wide class of non-locally convex quasi-Banach spaces X that includes the spaces l p for 0 p 1 , there exists a continuous function f : [ 0 , 1 ] → X failing to have a primitive, thus solving a problem raised by M.M. Popov in 1994
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https://doi.org/10.1016/j.na.2012.06.016
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8
Integration in quasi-Banach spaces and the fundamental theorem of calculus
Autor: J. L. Ansorena, Fernando Albiac
Publikováno v: RIUR. Repositorio Institucional de la Universidad de La Rioja
instname
RIUR: Repositorio Institucional de la Universidad de La Rioja
Universidad de La Rioja (UR)
We make a general approach to integrability and its interplay with differentiability in quasi-Banach spaces. This endeavor demands studying first the defects of Bochner and Riemann integration in the setting of p -Banach spaces when p 1 . The conclus
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::15f34718e49fa71d55bf9be0417331d9
https://investigacion.unirioja.es/documentos/5bbc691bb750603269e81543
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