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ON LARGE l 1 -SUMS OF LIPSCHITZ-FREE SPACES AND APPLICATIONS
(Stephen Dilworth, 2023-03)
We prove that the Lipschitz-free space over a Banach space X of density κ, denoted by F (X), is linearly isomorphic to the l 1 -sum of κ copies of F (X) . This provides an extension of a previous result from Kaufmann in ...
On the Semadeni derivative of Banach spaces C(K, X)
(Adam Skalski, 2022)
The Semadeni derivative of a Banach space X, denoted by S(X), is the
quotient of the space of all weak* sequentially continuous functionals in X** by the canon-
ical copy of X. In a remarkable 1960 paper, Z. Semadeni ...
The approximation property for spaces of holomorphic functions on infinite-dimensional spaces I
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2004)
L -Random and Fuzzy Normed Spaces and Classical Theory
(Universidad de La Frontera. Departamento de Matemática y EstadísticaUniversidade Federal de Pernambuco. Departamento de Matemática, 2010)
On the epistemic status of absolute space: Kant's Directions in space read from the standpoint of his Critical period
(Universidade Federal de Minas GeraisBrasilFAF - DEPARTAMENTO DE FILOSOFIAUFMG, 2017)
Space strategy and the rise of space forcesEstratégia espacial e a ascensão das forças espaciais
(Universidade Federal de Santa Maria, 2023)
Isomorphisms between spaces of Lipschitz functions
(Guido De Philippis, 2019)
We develop tools for proving isomorphisms of normed spaces
of Lipschitz functions over various doubling metric spaces and Banach
spaces. In particular, we show that Lip0(Zd) ≃ Lip0(Rd), for all d ∈ N.
More generally, ...
An approximation problem in multiplicatively invariant spaces
(American Mathematical Society, 2017-07)
Let H be Hilbert space and (Ω, m) a σ-finite measure space. Multiplicatively invariant(MI) spaces are closed subspaces of L2(Ω, H) that are invariant under point-wise multiplication byfunctions from a fixed subset of L∞(Ω). ...
ON THE GEOMETRY OF BANACH SPACES OF THE FORM Lip0(C(K))
(Stephen Dilworth, 2021)
We investigate the problem of classifying the Banach spaces Lip0(C(K)) for Hausdorff
compacta K. In particular, sufficient conditions are established for a space Lip0(C(K)) to be
isomorphic to Lip0(c0(Γ )) for some ...
The approximation property for spaces of holomorphic functions on infinite dimensional spaces II
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2010)