Zobrazeno 1 - 10
of 62
pro vyhledávání: '"Stephen J. Dilworth"'
Publikováno v:
Journal of Function Spaces and Applications, Vol 4, Iss 1, Pp 25-42 (2006)
For 1 < p < 8 and p ? 2 we construct a family of mutually non-equivalent greedy bases in lp having the cardinality of the continuum. In fact, no basis from this family is equivalent to a rearranged subsequence of any other basis thereof. We are able
Externí odkaz:
https://doaj.org/article/b235a35a49fd4052b648487fe6a70d88
Publikováno v:
Canadian Mathematical Bulletin. :1-11
Motivated by Altshuler’s famous characterization of the unit vector basis of $c_0$ or $\ell _p$ among symmetric bases (Altshuler [1976, Israel Journal of Mathematics, 24, 39–44]), we obtain similar characterizations among democratic bases and amo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e9e8abd29a9dd7d4d13a1c21812a3a83
https://doi.org/10.4153/s0008439523000176
https://doi.org/10.4153/s0008439523000176
Autor:
Stephen J. Dilworth, Ryan M. Causey
Publikováno v:
Studia Mathematica. 267:59-107
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d789df68d16fd78a100101d3268d8163
https://doi.org/10.4064/sm210711-3-1
https://doi.org/10.4064/sm210711-3-1
Publikováno v:
Positivity. 25:1403-1435
This article is a continuation of our article in Dilworth et al. (Can J Math 72:774–804, 2020). We construct orthogonal bases of the cycle and cut spaces of the Laakso graph $$\mathcal {L}_n$$ . They are used to analyze projections from the edge sp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5f928948ba14d0dab1ec8779f8250b0a
https://doi.org/10.1007/s11117-021-00821-w
https://doi.org/10.1007/s11117-021-00821-w
Publikováno v:
Transactions of the American Mathematical Society. 374:2079-2106
Our aim in this article is to contribute to the study of the structure of subsymmetric basic sequences in Banach spaces (even, more generally, in quasi-Banach spaces). For that we introduce the notion of positionings and develop new tools which lead
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f81e375c673dd070605a94a8d1e94bc4
https://doi.org/10.1090/tran/8278
https://doi.org/10.1090/tran/8278
Publikováno v:
Academica-e: Repositorio Institucional de la Universidad Pública de Navarra
Universidad Pública de Navarra
Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
instname
Universidad Pública de Navarra
Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
instname
We settle in the negative the problem of the superreflexivity of Garling sequence spaces by showing that they contain a complemented subspace isomorphic to a non-superreflexive mixed-norm sequence space. As a by-product, we give applications to the s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d13de7e61a3e1857e9313293cf1a847b
https://hdl.handle.net/2454/39431
https://hdl.handle.net/2454/39431
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 303:109-128
We introduce the notion of a weight-almost greedy basis and show that a basis for a real Banach space is w-almost greedy if and only if it is both quasi-greedy and w-democratic. We also introduce the notion of a weight-semi-greedy basis and show that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::68eee77ec17ac69ed038ad14c7b1c899
https://doi.org/10.1134/s0081543818080102
https://doi.org/10.1134/s0081543818080102
Autor:
Ryan M. Causey, Stephen J. Dilworth
Publikováno v:
Journal of Functional Analysis. 274:2906-2954
For each ordinal ξ, we define the notions of ξ-asymptotically uniformly smooth and w ⁎ –ξ-asymptotically uniformly convex operators. When ξ = 0 , these extend the notions of asymptotically uniformly smooth and w ⁎ -asymptotically uniformly
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::59119930f5bc8b6e0e30df3ef2c7fa80
https://doi.org/10.1016/j.jfa.2018.02.014
https://doi.org/10.1016/j.jfa.2018.02.014
Autor:
Gustavo Garrigós, Eugenio Hernández, Denka Kutzarova, Vladimir Temlyakov, Stephen J. Dilworth
Publikováno v:
Journal of Functional Analysis. 280:108885
We present new results regarding Lebesgue-type inequalities for the Weak Chebyshev Greedy Algorithm (WCGA) in uniformly smooth Banach spaces. We improve earlier bounds in [19] for dictionaries satisfying a new property introduced here. We apply these
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f53fd81af04d4a3b8620c8f52f673f13
https://doi.org/10.1016/j.jfa.2020.108885
https://doi.org/10.1016/j.jfa.2020.108885
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f50bcdb4531a9708e886ad9a25f3d618
https://doi.org/10.1016/j.jat.2016.06.005
https://doi.org/10.1016/j.jat.2016.06.005