Results 31 to 40 of about 2,017,440 (319)

Amenable actions, free products and a fixed point property

, 2005
We investigate the class of groups admitting an action on a set with an invariant mean. It turns out that many free products admit such an action. We give a complete characterisation of such free products in terms of a strong fixed point property.Comment:
Abért, Abért, Banach, Burger, Burger, Cannon, de la Harpe, de la Harpe, Dixon, Epstein, Eymard, Følner, Gartside, Greenleaf, Grigorchuk, Gromov, Hausdorff, Kazhdan, Lebesgue, Monod, N. Monod, Ol'shanskiĭ, Ol'shanskiĭ, Ozawa, Paterson, Pestov, Pier, Rosenblatt, Tarski, van Douwen, von Neumann, Y. Glasner, Zimmer   +32 more
core   +1 more source

FIXED POINT FREE COMPONENTS IN LEXICOGRAPHIC SUMS WITH THE FIXED POINT PROPERTY

Demonstratio Mathematica, 1991
Let \(T\) be a poset and let for each \(t\in T\), \(P_ t\) be a poset. The lexicographic sum \(P=L\{P_ t: t\in T\}\) is the poset on \(\{(t,x): t\in T, x\in P_ t\}\) such that \((s,x)\leq (t,y)\) iff either ...
Höft, Hartmut, Höft, Margret
openaire   +2 more sources

The Fixed Point Property of Unital Abelian Banach Algebras

Fixed Point Theory and Applications, 2010
We give a general condition for infinite dimensional unital Abelian Banach algebras to fail the fixed point property. Examples of those algebras are given including the algebras of continuous functions on compact sets.
Fupinwong W, Dhompongsa S
doaj   +2 more sources

The Bregman–Opial Property and Bregman Generalized Hybrid Maps of Reflexive Banach Spaces

Mathematics, 2020
The Opial property of Hilbert spaces is essential in many fixed point theorems of non-expansive maps. While the Opial property does not hold in every Banach space, the Bregman–Opial property does.
Eskandar Naraghirad, Luoyi Shi, Ngai-Ching Wong   +2 more
doaj   +1 more source

Strict weak mixing of some C*-dynamical systems based on free shifts

, 2006
We define a stronger property than unique ergodicity with respect to the fixed-point subalgebra previously investigated by Abadie and Dykema. Such a property is denoted as F-strict weak mixing (F stands for the Markov projection onto the fixed-point ...
Abadie, Accardi, Choi, Choi, de la Harpe, Farrukh Mukhamedov, Francesco Fidaleo, Haagerup, Jolissaint, Kornfeld, Mukhamedov, Niculescu, Paschke, Paulsen, Strǎtilǎ, Takesaki, Voiculescu, Zsidó, Łuczak   +18 more
core   +2 more sources

Fixed Point in Minimal Spaces

Nonlinear Analysis, 2005
This paper deals with fixed point theory and fixed point property in minimal spaces. We will prove that under some conditions f : (X,M) → (X,M) has a fixed point if and only if for each m-open cover {Bα} for X there is at least one x ∈ X such that both x
M. Alimohammady, M. Roohi
doaj   +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

A short note on the continuous Rokhlin property and the universal coefficient theorem

, 2014
Let $G$ be a metrizable compact group, $A$ a separable C*-algebra and $\alpha$ a strongly continuous action of $G$ on $A$. Provided that $\alpha$ satisfies the continuous Rokhlin property, we show that the property of satisfying the UCT in E-theory ...
Szabo, Gabor
core   +1 more source

Predicting Chronicity in Children and Adolescents With Newly Diagnosed Immune Thrombocytopenia at the Timepoint of Diagnosis Using Machine Learning‐Based Approaches

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Objectives To identify predictors of chronic ITP (cITP) and to develop a model based on several machine learning (ML) methods to estimate the individual risk of chronicity at the timepoint of diagnosis. Methods We analyzed a longitudinal cohort of 944 children enrolled in the Intercontinental Cooperative immune thrombocytopenia (ITP) Study ...
Severin Kasser, Alice Bizeul, Meera Chitlur, Hugo Donato, Jelena Roganovic, Julia E. Vogt, Thomas Kühne   +6 more
wiley   +1 more source

Pathogenic Germline PALB2 and RAD50 Variants in Patients With Relapsed Ewing Sarcoma

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Approximately 10% of patients with Ewing sarcoma (EwS) have pathogenic germline variants. Here, we report two cases: first, a novel germline pathogenic variant in partner and localizer of BRCA2 (PALB2) in a patient with a late EwS relapse. Its impact on homologous recombination is demonstrated, and breast cancer risk is discussed.
Molly Mack, A. Carolina Tufino, Mohd Azrin Jamalruddin, Sreya Dey, Yinghong Pan, Elina Mukherjee, Jessica D. Daley, Julia Meade, Mahmoud Aarabi, Lisa Maurer, James Cooper, Kara A. Bernstein, Kelly M. Bailey   +12 more
wiley   +1 more source