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...
Xiaofen Lv. Source: Annals of Functional Analysis, Volume 10, Number 1, 122--134.Abstract: In this article, given some positive Borel measure $\mu$ , we define two integration operators to be \[I_{\mu}(f)(z)=\int_{\mathbf{D}}f(w)K(z,w)e^{-2\varphi(w)}\,d\mu(w)\] and ...
Alan Kamuda, Sergii Kuzhel. Source: Annals of Functional Analysis, Volume 10, Number 1, 106--121.Abstract: We propose a definition of frames in Krein spaces which generalizes the concept of $J$ -frames defined relatively recently by Giribet, Maestripieri, Martínez-Pería, and Massey. The difference...
Robert P. Boyer, Yun S. Yoo. Source: Annals of Functional Analysis, Volume 10, Number 1, 97--105.Abstract: Using $C^{*}$ -algebraic techniques and especially AF-algebras, we present a complete classification of the continuous unitary representations for a class of infinite wreath product groups....
Wanzhong Gong, Xiaoli Dong, Kangji Wang. Source: Annals of Functional Analysis, Volume 10, Number 1, 81--96.Abstract: We study I-convexity and Q-convexity, two geometric properties introduced by Amir and Franchetti. We point out that a Banach space $X$ has the weak fixed-point property when $X$ is...
Peng-Ruei Huang, Hiroshi Nakazato. Source: Annals of Functional Analysis, Volume 10, Number 1, 72--80.Abstract: We characterize a class of matrices that is unitarily similar to a complex symmetric matrix via the discrete Fourier transform. ...
Vrej Zarikian. Source: Annals of Functional Analysis, Volume 10, Number 1, 60--71.Abstract: Let $G$ be a discrete group acting on a unital $C^{*}$ -algebra $\mathcal{A}$ by $*$ -automorphisms. We characterize (in terms of the dynamics) when the inclusion...
Julia Martsinkevitš, Märt Põldvere. Source: Annals of Functional Analysis, Volume 10, Number 1, 46--59.Abstract: It is known that if a Banach space $Y$ is a $u$ -ideal in its bidual $Y^{\ast\ast}$ with respect to the canonical projection on the third dual $Y^{\ast\ast\ast}$ , then $Y^{\ast}$...
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