Zobrazeno 1 - 10
of 54
pro vyhledávání: '"Beata Randrianantoanina"'
Autor:
Beata Randrianantoanina
Publikováno v:
Abstract and Applied Analysis, Vol 2004, Iss 2, Pp 133-145 (2004)
We characterize norm-one complemented subspaces of Orlicz sequence spaces ℓM equipped with either Luxemburg or Orlicz norm, provided that the Orlicz function M is sufficiently smooth and sufficiently different from the square function. We measure s
Externí odkaz:
https://doaj.org/article/066a2489bc49487f8bc3c88a0355abc5
Autor:
Mikhail Popov, Beata Randrianantoanina
Most classes of operators that are not isomorphic embeddings are characterized by some kind of a “smallness” condition. Narrow operators are those operators defined on function spaces that are “small” at {-1,0,1}-valued functions, e.g. compac
Publikováno v:
Analysis and Geometry in Metric Spaces. 10:313-329
We study properties of twisted unions of metric spaces introduced in [Johnson, Lindenstrauss, and Schechtman 1986], and in [Naor and Rabani 2017]. In particular, we prove that under certain natural mild assumptions twisted unions of L 1-embeddable me
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::abdad728b865a97f4de1368cf578a90b
https://doi.org/10.1515/agms-2022-0145
https://doi.org/10.1515/agms-2022-0145
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
The article is a survey related to a classical unsolved problem in Banach space theory, appearing in Banach’s famous book in 1932, and known as the Mazur rotations problem. Although the problem seems very difficult and rather abstract, its study sh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::87bdd9c79f8997ea9ffa0170776c2b62
https://doi.org/10.1007/s40863-021-00234-3
https://doi.org/10.1007/s40863-021-00234-3
Publikováno v:
Proceedings of the American Mathematical Society. 147:4745-4755
We prove that finite lamplighter groups { Z 2 ≀ Z n } n ≥ 2 \{\mathbb {Z}_2\wr \mathbb {Z}_n\}_{n\ge 2} with a standard set of generators embed with uniformly bounded distortions into any non-superreflexive Banach space and therefore form a set o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e735896e6bc0fcb7429e9894f8a74908
https://doi.org/10.1090/proc/14526
https://doi.org/10.1090/proc/14526
Autor:
Beata Randrianantoanina
Publikováno v:
Problems and Recent Methods in Operator Theory. :209-218
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f9a0c0ce9a310483745d6663a9fcd53f
https://doi.org/10.1090/conm/687/13731
https://doi.org/10.1090/conm/687/13731
Publikováno v:
Canadian Journal of Mathematics. 68:876-907
For a fixed $K\gg 1$ and $n\in\mathbb{N}$, $n\gg 1$, we study metric spaces which admit embeddings with distortion $\le K$ into each $n$-dimensional Banach space. Classical examples include spaces embeddable into $\log n$-dimensional Euclidean spaces
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::78028130cb7e56e39424f8cfb5940383
https://doi.org/10.4153/cjm-2015-041-7
https://doi.org/10.4153/cjm-2015-041-7
Publikováno v:
Journal of Functional Analysis. 268:1587-1611
We prove that the spaces l p , 1 p ∞ , p ≠ 2 , and all infinite-dimensional subspaces of their quotient spaces do not admit equivalent almost transitive renormings. This is a step towards the solution of the Banach–Mazur rotation problem, which
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c3f1d74eb260ecf3871c55ba218087ba
https://doi.org/10.1016/j.jfa.2014.11.021
https://doi.org/10.1016/j.jfa.2014.11.021
Publikováno v:
Israel Journal of Mathematics. 203:81-108
In the first part of the paper we prove that for 2 < p, r < ∞ every operator T: Lp → lr is narrow. This completes the list of sequence and function Lebesgue spaces X with the property that every operator T : Lp → X is narrow.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::376cfc029e6ad4c7c611016f99a44a27
https://doi.org/10.1007/s11856-014-0012-8
https://doi.org/10.1007/s11856-014-0012-8
Autor:
C. J. Lennard, Beata Randrianantoanina, Daniel Freeman, P. N. Dowling, Edward Odell, B. Turett
Publikováno v:
Positivity. 18:147-159
The Grothendieck compactness principle states that every norm compact subset of a Banach space is contained in the closed convex hull of a norm null sequence. In Dowling et al. (J Funct Anal 263(5):1378–1381, 2012), an analogue of the Grothendieck
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::adf98d7e5cf61415675146e770839713
https://doi.org/10.1007/s11117-013-0236-6
https://doi.org/10.1007/s11117-013-0236-6