Bing Yang, Xiaochun Fang. Source: Annals of Functional Analysis, Volume 10, Number 2, 242--251.Abstract: In this article we characterize the form of each 2-local Lie derivation on a von Neumann algebra without central summands of type ${I_{1}}$ . We deduce that every 2-local Lie derivation...
Xiufeng Wu, Junjie Huang, Alatancang Chen. Source: Annals of Functional Analysis, Volume 10, Number 2, 229--241.Abstract: Let $\mathcal{H}$ and $\mathcal{K}$ be complex separable Hilbert spaces. Given the operators $A\in \mathcal{B}(\mathcal{H})$ and $B\in\mathcal{B}(\mathcal{K},\mathcal{H})$ , we...
Francois Schulz. Source: Annals of Functional Analysis, Volume 10, Number 2, 218--228.Abstract: Let $A$ and $B$ be complex Banach algebras, and let $\phi,\phi_{1}$ , and $\phi_{2}$ be surjective maps from $A$ onto $B$ . Denote by $\partial\sigma(x)$ the boundary of the spectrum of $x$ . If $A$ is...
C. Correia Ramos, Nuno Martins, Paulo R. Pinto. Source: Annals of Functional Analysis, Volume 10, Number 2, 203--217.Abstract: We produce and study a family of representations of relative graph algebras on Hilbert spaces that arise from the orbits of points of $1$ -dimensional dynamical systems,...
Boris Guljaš. Source: Annals of Functional Analysis, Volume 10, Number 2, 196--202.Abstract: We characterize orthogonally complemented submodules in Hilbert $C^{*}$ -modules by their orthogonal closures. Applying Magajna’s characterization of Hilbert $C^{*}$ -modules over $C^{*}$ -algebras of...
Hessam Hosseinnezhad, Gholamreza Abbaspour Tabadkan, Asghar Rahimi. Source: Annals of Functional Analysis, Volume 10, Number 2, 180--195.Abstract: In this article, we introduce the concept of generalized multipliers for g-frames. In fact, we show that every generalized multiplier for g-Bessel...
Katsunori Gunji. Source: Advances in Differential Equations, Volume 24, Number 5/6, 321--376.Abstract: Knot energies, one of which is the Möbius energy, are constructed to measure the well-proportioned of the knot. The best-proportioned knot in the given knot class may be determined by the...
Hartmut Pecher. Source: Advances in Differential Equations, Volume 24, Number 5/6, 283--320.Abstract: We prove that the Yang-Mills equation in Lorenz gauge in the (n+1)-dimensional case, $n \ge 4$, is locally well-posed for data of the gauge potential in $H^s$ and the curvature in $H^r$, where $s...
Mathias Nikolai Arnesen. Source: Advances in Differential Equations, Volume 24, Number 5/6, 257--282.Abstract: We consider the Cauchy problem \[ \partial_t u+u\partial_x u+L(\partial_x u) =0, \quad u(0,x)=u_0(x) \] for a class of Fourier multiplier operators $L$, and prove that the solution map...
Davide Addona, Luciana Angiuli, Luca Lorenzi. Source: Advances in Differential Equations, Volume 24, Number 3/4, 137--184.Abstract: In this paper, we deal with weakly coupled elliptic systems ${\mathcal A}$ with unbounded coefficients. We prove the existence and characterize all the systems of...
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