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...

Yingying Liu, Zhengce Zhang, Liping Zhu. Source: Advances in Differential Equations, Volume 24, Number 3/4, 229--256.Abstract: This paper deals with a quasilinear parabolic equation with nonlinear gradient absorption \begin{equation*} u_t-\Delta_{p}u=u^q-\mu u^{r}|\nabla u|^\delta, \ x\in\Omega,...

Bartosz Frej, Dawid Huczek. Source: Annals of Functional Analysis, Volume 10, Number 1, 144--156.Abstract: We study doubly stochastic operators with zero entropy. We generalize three famous theorems: Rokhlin’s theorem on genericity of zero entropy, Kushnirenko’s theorem on equivalence of discrete...

Debmalya Sain. Source: Annals of Functional Analysis, Volume 10, Number 1, 135--143.Abstract: In this paper we completely characterize the norm attainment set of a bounded linear operator between Hilbert spaces. In fact, we obtain two different characterizations of the norm attainment set of a...