Zobrazeno 1 - 10
of 14
pro vyhledávání: '"Jacopo Somaglia"'
Autor:
Jacopo Somaglia
Publikováno v:
Studia Mathematica. 253:283-306
In the present paper we investigate the class of compact trees, endowed with the coarse wedge topology, in the area of non-separable Banach spaces. We describe Valdivia compact trees in terms of inner structures and we characterize the space of conti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5063caa500f2709a9431ecaff75ae669
https://doi.org/10.4064/sm190115-20-3
https://doi.org/10.4064/sm190115-20-3
We investigate dense lineability and spaceability of subsets of $\ell_\infty$ with a prescribed number of accumulation points. We prove that the set of all bounded sequences with exactly countably many accumulation points is densely lineable in $\ell
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::898ff48782e8c7193073d626d8d2ed98
http://arxiv.org/abs/2203.08662
http://arxiv.org/abs/2203.08662
Autor:
Jacopo Somaglia, Tommaso Russo
We introduce and study a new topology on trees, that we call the countably coarse wedge topology. Such a topology is strictly finer than the coarse wedge topology and it turns every chain complete, rooted tree into a Fr\'echet--Urysohn, countably com
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::95e51b19b50bddfa472cce58052c8a54
https://hdl.handle.net/11311/1224438
https://hdl.handle.net/11311/1224438
Autor:
Claudio Agostini, Jacopo Somaglia
Publikováno v:
Topology and its Applications. 258:513-523
We present a characterization of spaces of strictly decreasing functions on trees in terms of bisequentiality. This characterization answers Questions 6.1 and 6.2 of "A filter on a collection of finite sets and Eberlein compacta" by T. Cie\'sla. More
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::72d326e3d0c9147f8fdac7d06f502aa3
https://doi.org/10.1016/j.topol.2019.03.018
https://doi.org/10.1016/j.topol.2019.03.018
We deeply study retractions associated to suitable models in compact spaces admitting a retractional skeleton and find several interesting consequences. Most importantly, we provide a new characterization of Valdivia compacta using the notion of retr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4ed374e316935b891f14a14639703c4b
http://arxiv.org/abs/2009.07902
http://arxiv.org/abs/2009.07902
Publikováno v:
Advances in Mathematics. 392:108041
We construct an Asplund Banach space $\mathcal{X}$ with a norming Marku\v{s}evi\v{c} basis such that $\mathcal{X}$ is not weakly compactly generated. This solves a long-standing open problem from the early nineties, originally due to Gilles Godefroy.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8afc62162fa637789feedb17f593610e
https://doi.org/10.1016/j.aim.2021.108041
https://doi.org/10.1016/j.aim.2021.108041
Publikováno v:
Topology and its Applications. 302:107835
We study properties of semi-Eberlein compacta related to inverse limits. We concentrate our investigation on an interesting subclass of small semi-Eberlein compacta whose elements are obtained as inverse limits whose bonding maps are semi-open retrac
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b2bd5fa667f5265bcd7867fec44b5214
https://doi.org/10.1016/j.topol.2021.107835
https://doi.org/10.1016/j.topol.2021.107835
Autor:
Jacopo Somaglia, Tommaso Russo
We introduce and study the notion of overcomplete set in a Banach space, that subsumes and extends the classical concept of overcomplete sequence in a (separable) Banach space. We give existence and non-existence results of overcomplete sets for a wi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bfdb3b5beaf623b8efffa2f81ab341d1
http://arxiv.org/abs/1912.08690
http://arxiv.org/abs/1912.08690
Publikováno v:
Journal of Mathematical Analysis and Applications. 434:84-92
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b85859060f1494efadb67212e6f3a46d
https://doi.org/10.1016/j.jmaa.2015.09.002
https://doi.org/10.1016/j.jmaa.2015.09.002