Renormings in Banach Spaces

AJ Guirao, V Montesinos, V Zizler - Monografie Matematyczne, 2022 - Springer
Banach spaces provide a framework for modern mathematical analysis, as they blend
classical analysis, geometry, topology and linearity. This makes Banach space theory a …

[图书][B] Open problems in the geometry and analysis of Banach spaces

AJ Guirao, V Montesinos, V Zizler - 2016 - Springer
This is a commented collection of some easily formulated open problems in the geometry
and analysis on Banach spaces, focusing on basic linear geometry, convexity …

[HTML][HTML] Residuality in the set of norm attaining operators between Banach spaces

M Jung, M Martín, AR Zoca - Journal of Functional Analysis, 2023 - Elsevier
We study the relationship between the residuality of the set of norm attaining functionals on
a Banach space and the residuality and the denseness of the set of norm attaining operators …

A Banach space whose set of norm-attaining functionals is algebraically trivial

M Martin - arXiv preprint arXiv:2406.07273, 2024 - arxiv.org
We construct a Banach space $ X $ for which the set of norm-attaining functionals $ NA
(X,\mathbb {R}) $ does not contain any non-trivial cone. Even more, given two linearly …

13 Norm attaining operators of finite rank

V Kadets, G López, M Martín, D Werner - The Mathematical Legacy …, 2020 - degruyter.com
We provide sufficient conditions on a Banach space X in order that there exist norm attaining
operators of rank at least two from X into any Banach space of dimension at least two. For …

Dual differentiation spaces

WB Moors, NÖ Tan - Bulletin of the Australian Mathematical Society, 2019 - cambridge.org
DUAL DIFFERENTIATION SPACES Page 1 Bull. Aust. Math. Soc. 99 (2019), 467–472 doi:10.1017/S0004972719000376
DUAL DIFFERENTIATION SPACES WARREN B. MOORS and NESET OZKAN TAN (Received …

Differentiability and Structure, Renormings

AJ Guirao, V Montesinos, V Zizler, AJ Guirao… - Open Problems in the …, 2016 - Springer
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