[图书][B] Banach spaces of continuous functions as dual spaces
HG Dales, FK Dashiell, ATM Lau, D Strauss - 2016 - Springer
Let K be a locally compact space, and denote by C0 (K) the Banach space of all continuous
functions on K that vanish at infinity, taken with the uniform norm. This fundamentally …
functions on K that vanish at infinity, taken with the uniform norm. This fundamentally …
A Banach space C (K) reading the dimension of K
D Głodkowski - Journal of Functional Analysis, 2023 - Elsevier
Assuming Jensen's diamond principle (⋄) we construct for every natural number n> 0 a
compact Hausdorff space K such that whenever the Banach spaces C (K) and C (L) are …
compact Hausdorff space K such that whenever the Banach spaces C (K) and C (L) are …
Musing on Kunen's compact L-space
G Plebanek - Topology and its Applications, 2023 - Elsevier
We present a connected version of the compact L-space constructed by Kenneth Kunen
under CH. We show that this provides a Corson compact space K such that the Banach …
under CH. We show that this provides a Corson compact space K such that the Banach …
Eventual nonsensitivity and tame dynamical systems
E Glasner, M Megrelishvili - arXiv preprint arXiv:1405.2588, 2014 - arxiv.org
In this paper we characterize tame dynamical systems and functions in terms of eventual
non-sensitivity and eventual fragmentability. As a notable application we obtain a neat …
non-sensitivity and eventual fragmentability. As a notable application we obtain a neat …
Uncountable equilateral sets in Banach spaces of the form C(K)
P Koszmider - Israel Journal of Mathematics, 2018 - Springer
The paper is concerned with the problem whether a nonseparable Banach space must
contain an uncountable set of vectors such that the distances between every two distinct …
contain an uncountable set of vectors such that the distances between every two distinct …
An Asplund space with norming Markuševič basis that is not weakly compactly generated
P Hájek, T Russo, J Somaglia, S Todorčević - Advances in Mathematics, 2021 - Elsevier
Abstract We construct an Asplund Banach space X with a norming Markuševič basis such
that X is not weakly compactly generated. This solves a long-standing open problem from …
that X is not weakly compactly generated. This solves a long-standing open problem from …
On the geometry of Banach spaces of the form 𝐿𝑖𝑝₀ (𝐶 (𝐾))
L Candido, P Kaufmann - Proceedings of the American Mathematical …, 2021 - ams.org
We investigate the problem of classifying the Banach spaces $\mathrm {Lip} _0 (C (K)) $ for
Hausdorff compacta $ K $. In particular, sufficient conditions are established for a space …
Hausdorff compacta $ K $. In particular, sufficient conditions are established for a space …
A biased view of topology as a tool in functional analysis
B Cascales, J Orihuela - Recent Progress in General Topology III, 2013 - Springer
A survey about “Topology as a tool in functional analysis” would be such a giant enterprise
that we have, naturally, chosen to give here “Our biased views of topology as a tool in …
that we have, naturally, chosen to give here “Our biased views of topology as a tool in …
Weakly Radon-Nikod\'ym Boolean algebras and independent sequences
A Avilés, G Martínez-Cervantes, G Plebanek - arXiv preprint arXiv …, 2016 - arxiv.org
A compact space is said to be weakly Radon-Nikod\'{y} m (WRN) if it can be weak*-
embedded into the dual of a Banach space not containing $\ell_1 $. We investigate WRN …
embedded into the dual of a Banach space not containing $\ell_1 $. We investigate WRN …
On weakly Radon–Nikodým compact spaces
G Martínez-Cervantes - Israel Journal of Mathematics, 2017 - Springer
A compact space is said to be weakly Radon–Nikodým if it is homeomorphic to a weak*-
compact subset of the dual of a Banach space not containing an isomorphic copy of ℓ 1. In …
compact subset of the dual of a Banach space not containing an isomorphic copy of ℓ 1. In …