Results 1 to 10 of about 13,706 (112)

Geometric Characterization of Injective Banach Lattices

Mathematics, 2021
This is a continuation of the authors’ previous study of the geometric characterizations of the preduals of injective Banach lattices. We seek the properties of the unit ball of a Banach space which make the space isometric or isomorphic to an injective ...
Anatoly Kusraev, Semën Kutateladze
doaj   +1 more source

Modular functionals and perturbations of Nakano spaces [PDF]

, 2008
We settle several questions regarding the model theory of Nakano spaces left open by the PhD thesis of Pedro Poitevin \cite{Poitevin:PhD}. We start by studying isometric Banach lattice embeddings of Nakano spaces, showing that in dimension two and above ...
Yaacov, Itaï Ben
core   +9 more sources

ON THE ALMOST PERIODIC AT INFINITY FUNCTIONS FROM HOMOGENEOUS SPACES

Проблемы анализа, 2018
We consider homogeneous spaces of functions defined on the real axis (or semi-axis) with values in a complex Banach space. We study the new class of almost periodic at infinity functions from homogeneous spaces.
Baskakov A. G., Strukov V. E., Strukova I. I.   +2 more
doaj   +1 more source

Disintegration of positive isometric group representations on $\mathrm{L}^p$-spaces [PDF]

, 2017
Let $G$ be a Polish locally compact group acting on a Polish space $X$ with a $G$-invariant probability measure $\mu$. We factorize the integral with respect to $\mu$ in terms of the integrals with respect to the ergodic measures on $X$, and show that ...
de Jeu, Marcel, Rozendaal, Jan
core   +3 more sources

Uniformly Convex Metric Spaces

Analysis and Geometry in Metric Spaces, 2014
In this paper the theory of uniformly convex metric spaces is developed. These spaces exhibit ageneralized convexity of the metric from a fixed point.
Kell Martin
doaj   +1 more source

Isometric Reflection Vectors and Characterizations of Hilbert Spaces

Journal of Function Spaces, 2014
A known characterization of Hilbert spaces via isometric reflection vectors is based on the following implication: if the set of isometric reflection vectors in the unit sphere SX of a Banach space X has nonempty interior in SX, then X is a Hilbert space.
Donghai Ji, Senlin Wu
doaj   +1 more source

A local characterization of Kazhdan projections and applications [PDF]

, 2018
We give a local characterization of the existence of Kazhdan projections for arbitary families of Banach space representations of a compactly generated locally compact group $G$.
de la Salle, Mikael
core   +1 more source

Isometric group actions on Banach spaces and representations vanishing at infinity [PDF]

, 2006
Our main result is that the simple Lie group $G=Sp(n,1)$ acts properly isometrically on $L^p(G)$ if $p>4n+2$. To prove this, we introduce property $({\BP}_0^V)$, for $V$ be a Banach space: a locally compact group $G$ has property $({\BP}_0^V)$ if every ...
A. Guichardet, A. Guichardet, Alain Valette, B. Bekka, B. Bekka, B. Bekka, B. Eckmann, C. A. Akemann, C. Pittet, C. R. Putnam, C. R. Putnam, D. Fisher, F. Martin, G. Yu, J. Cheeger, L. Aagaard, M. Edelstein, N. Higson, P. A. Linnell, P. Pansu, P.-A. Cherix, P.-A. Cherix, Romain Tessera, U. Bader, Y. Benjamini, Y. Cornulier de, Y. Shalom, Yves De Cornulier   +27 more
core   +5 more sources

Tight embeddability of proper and stable metric spaces [PDF]

, 2015
We introduce the notions of almost Lipschitz embeddability and nearly isometric embeddability. We prove that for $p\in [1,\infty]$, every proper subset of $L_p$ is almost Lipschitzly embeddable into a Banach space $X$ if and only if $X$ contains ...
Baudier, Florent, Lancien, Gilles
core   +4 more sources

Local rigidity of infinite-dimensional Teichmüller spaces [PDF]

, 2006
This paper presents a rigidity theorem for infinite-dimensional Bergman spaces of hyperbolic Riemann surfaces, which states that the Bergman space $A^{1}(M)$, for such a Riemann surface $M$, is isomorphic to the Banach space of summable sequence, $l^{1}$.
Fletcher, A. (Alastair)
core   +1 more source