Józef Banaś, Leszek Olszowy. Source: Annals of Functional Analysis, Volume 10, Number 2, 277--283.Abstract: Our principal aim in this article is to show the equivalence of two concepts used recently in the theory of Banach algebras. The result we present here solves an open problem raised by...

E. R. Aragão-Costa. Source: Annals of Functional Analysis, Volume 10, Number 2, 262--276.Abstract: In this article we give sufficient conditions for the hypoellipticity in the first level of the abstract complex generated by the differential operators $L_{j}=\frac{\partial}{\partial...

Mustapha Raïssouli. Source: Annals of Functional Analysis, Volume 10, Number 2, 252--261.Abstract: Our main goal in this article is to give some functional inequalities involving a (convex) functional and its Fenchel conjugate. As a consequence, we obtain some refinements of the so-called Fenchel...

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...