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pro vyhledávání: '"Ngai, Ching"'
Two vectors $x, y$ in a normed vector space are parallel if there is a scalar $\mu$ with $|\mu| = 1$ such that $\|x+\mu y\| = \|x\| + \|y\|$; they form a triangle equality attaining (TEA) pair if $\|x+y\| = \|x\| + \|y\|$. In this paper, we character
Externí odkaz:
http://arxiv.org/abs/2407.19276
Autor:
Wang, Liguang, Wong, Ngai-Ching
In this short note, we show that a von Neumann algebra can be written as the linking von Neumann algebra of a W*-TRO if and only if it contains no abelian direct summand. We also provide some new characterizations for nuclear TROs and W*-exact TROs.<
Externí odkaz:
http://arxiv.org/abs/2407.10154
Autor:
Wang, Liguang, Wong, Ngai-Ching
Let $\phi: A\to A$ be a (not necessarily linear, additive or continuous) map of a standard operator algebra. Suppose for any $a,b\in A$ there is an algebra automorphism $\theta_{a,b}$ of $ A$ such that \begin{align*} \phi(a)\phi(b) = \theta_{a,b}(ab)
Externí odkaz:
http://arxiv.org/abs/2407.10150
Let $\mathrm{Lip}(X)$, $\mathrm{Lip}^b(X)$, $\mathrm{Lip}^{\mathrm{loc}}(X)$ and $\mathrm{Lip}^\mathrm{pt}(X)$ be the vector spaces of Lipschitz, bounded Lipschitz, locally Lipschitz and pointwise Lipschitz (real-valued) functions defined on a metric
Externí odkaz:
http://arxiv.org/abs/2306.12824
Let ${\bf M}_n(\mathbb{F})$ be the algebra of $n\times n$ matrices over an arbitrary field $\mathbb{F}$. We consider linear maps $\Phi: {\bf M}_n(\mathbb{F}) \rightarrow {\bf M}_r(\mathbb{F})$ preserving matrices annihilated by a fixed polynomial $f(
Externí odkaz:
http://arxiv.org/abs/2302.11170
In this paper, we consider a (nonlinear) transformation $\Phi$ of invertible positive elements in $C^*$-algebras which preserves the norm of any of the three fundamental means of positive elements; namely, $\|\Phi(A)\mm \Phi(B)\| = \|A\mm B\|$, where
Externí odkaz:
http://arxiv.org/abs/2104.05909
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 December 2023 528(1)
Autor:
Muoi, Bui Ngoc, Wong, Ngai-Ching
Publikováno v:
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS (2021)
Let $S$ be a semitopological semigroup, and let $C$ be a nonempty closed convex subset of a reflexive Banach space. Under some amenability conditions on $S$, we provide existence results of fixed points for several Bregman nonexpansive type actions $
Externí odkaz:
http://arxiv.org/abs/2007.12017
Autor:
Muoi, Bui Ngoc, Wong, Ngai-Ching
Publikováno v:
Proceedings of the International Conference on Nonlinear Analysis and Convex Analysis (Hakodate, Japan, 2019)
Let LUC$(S)$ be the space of left uniformly continuous functions on a semitopological semigroup $S$. Suppose that $S$ is right reversible and $\operatorname{LUC}(S)$ has a left invariant mean. Let $(X,d)$ be a Fr\'echet space. Let $\tau$ be a locally
Externí odkaz:
http://arxiv.org/abs/2007.00439
Autor:
Muoi, Bui Ngoc, Wong, Ngai-Ching
Publikováno v:
Topological Methods in Nonlinear Analysis (2022)
Let $S$ be a right reversible semitopological semigroup, and let $\operatorname{LUC}(S)$ be the space of left uniformly continuous functions on $S$. Suppose that $\operatorname{LUC}(S)$ has a left invariant mean. Let $K$ be a weakly compact convex su
Externí odkaz:
http://arxiv.org/abs/2006.15393