Results 11 to 20 of about 13,706 (112)

On classes of Banach spaces admitting "small" universal spaces [PDF]

, 2008
We characterize those classes $\ccc$ of separable Banach spaces admitting a separable universal space $Y$ (that is, a space $Y$ containing, up to isomorphism, all members of $\ccc$) which is not universal for all separable Banach spaces.
Dodos, Pandelis
core   +3 more sources

Asymptotically Hilbertian Modular Banach Spaces: Examples of Uncountable Categoricity

, 2016
We give a criterion ensuring that the elementary class of a modular Banach space E (that is, the class of Banach spaces, some ultrapower of which is linearly isometric to an ultrapower of E) consists of all direct sums E\oplus_m H, where H is an ...
Henson, C. Ward, Raynaud, Yves
core   +1 more source

Dynamical entropy in Banach spaces

, 2006
We introduce a version of Voiculescu-Brown approximation entropy for isometric automorphisms of Banach spaces and develop within this framework the connection between dynamics and the local theory of Banach spaces discovered by Glasner and Weiss.
Adler, Blanchard, Blanchard, Bowen, Boyle, Braconnier, Brown, Brown, Brown, Brown, Brown, David Kerr, Dykema, Effros, Elliott, Figiel, Giordano, Glasner, Glasner, Glasner, Golodets, Gong, Goodman, Hanfeng Li, Huang, Jiang, Junge, Kerr, Kirchberg, Köhler, Lin, Neshveyev, Pajor, Pop, Smith, Tomczak-Jaegermann, Voiculescu   +36 more
core   +1 more source

Property (T) and rigidity for actions on Banach spaces

, 2005
We study property (T) and the fixed point property for actions on $L^p$ and other Banach spaces. We show that property (T) holds when $L^2$ is replaced by $L^p$ (and even a subspace/quotient of $L^p$), and that in fact it is independent of $1\leq ...
A. Connes, A. Connes, A. Guichardet, A. Lubotzky, A. Navas, A. Navas, A. Pressley, Alex Furman, B. Rémy, C. D. Hardin Jr., D. A. Kazhdan, D. Fisher, D. Fisher, D. Sullivan, E. Glasner, G. A. Margulis, G. A. Margulis, G. A. Margulis, G. A. Margulis, G. A. Margulis, G. Hjorth, G. M. Bergman, G. Robertson, G. Yu, I. Mineyev, I. N. Bernshtein, J. Bretagnolle, J. Diestel, J. H. Wells, J. Lamperti, J. Lindenstrauss, J. Lindenstrauss, M. Bourdon, M. Burger, M. Burger, M. E. B. Bekka, M. Gromov, M. Gromov, N. Bourbaki, N. Bourbaki, N. Brown, N. Higson, N. Monod, N. Monod, N. Monod, Nicolas Monod, P. A. Cherix, P. Delorme, R. Alperin, R. J. Fleming, R. J. Zimmer, S. Kakutani, S. Popa, S. Popa, Tsachik Gelander, Uri Bader, V. Klee, Y. Cornulier de, Y. Shalom, Y. Watatani   +59 more
core   +3 more sources

Amalgamations of classes of Banach spaces with a monotone basis

, 2015
It was proved by Argyros and Dodos that, for many classes $ C $ of separable Banach spaces which share some property $ P $, there exists an isomorphically universal space that satisfies $ P $ as well.
Kurka, Ondřej
core   +1 more source

Edge‐Length Preserving Embeddings of Graphs Between Normed Spaces

Journal of Graph Theory, EarlyView.
ABSTRACT The concept of graph embeddability, initially formalized by Belk and Connelly and later expanded by Sitharam and Willoughby, extends the question of embedding finite metric spaces into a given normed space. A finite simple graph G = ( V , E ) $G=(V,E)$ is said to be ( X , Y ) $(X,Y)$‐embeddable if any set of induced edge lengths from an ...
Sean Dewar, Eleftherios Kastis, Derek Kitson, William Sims   +3 more
wiley   +1 more source

On the representation of multi-ideals by tensor norms

, 2010
A tensor norm $\beta= (\beta_{n})_{n=1}^{\infty}$ is smooth if the natural correspondence $(E_{1} \otimes\cdots\otimes E_{n} \otimes\mathbb{K},\beta_{n+1}) \longleftrightarrow (E_{1} \otimes\cdots\otimes E_{n} ,\beta_{n})$ is always an isometric ...
Alencar, Dales, DANIEL PELLEGRINO, Defant, ERHAN ÇALIŞKAN, GERALDO BOTELHO, Grothendieck, Lindenstrauss, Matos, Matos, Çalişkan   +10 more
core   +2 more sources

From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama, Marina Murillo‐Arcila, Julio Puerta‐Fernández   +2 more
wiley   +1 more source

Shape Derivatives of the Eigenvalues of the de Rham Complex for Lipschitz Deformations and Variable Coefficients: Part II

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our primary focus is on spectral perturbation problems and the differentiability of eigenvalues with respect to perturbations of the involved parameters. As a byproduct,
Pier Domenico Lamberti, Dirk Pauly, Michele Zaccaron   +2 more
wiley   +1 more source

Operator space characterizations of C*-algebras and ternary rings

, 2002
We prove that an operator space is completely isometric to a ternary ring of operators if and only if the open unit balls of all of its matrix spaces are bounded symmetric domains.
Neal, Matthew, Russo, Bernard
core   +2 more sources