Cláudio A. Fernandes, Alexei Y. Karlovich, Yuri I. Karlovich. Source: Annals of Functional Analysis, Volume 10, Number 4, 553--561.Abstract: Let $X(\mathbb{R})$ be a separable Banach function space such that the Hardy–Littlewood maximal operator $M$ is bounded on $X(\mathbb{R})$ and on its...
Dongwei Li, Jinsong Leng. Source: Annals of Functional Analysis, Volume 10, Number 4, 537--552.Abstract: Controlled frames and g-frames were considered recently as generalizations of frames in Hilbert spaces. In this paper we generalize some of the known results in frame theory to controlled...
Morteza Mirzaee Azandaryani. Source: Annals of Functional Analysis, Volume 10, Number 4, 525--536.Abstract: In the following we show that, under some conditions, $\varphi$ -morphisms preserve duals and approximate duals of frames in Hilbert $C^{\ast }$ -modules. Moreover, using $\varphi $...
Yuanxia Li, Dongni Tan. Source: Annals of Functional Analysis, Volume 10, Number 4, 515--524.Abstract: We say that a map $f:X\rightarrow Y$ between two real normed spaces is a phase-isometry if $\{\|f(x)+f(y)\|,\|f(x)-f(y)\|\}=\{\|x+y\|,\|x-y\|\}$ holds for all $x,y\in X$ . Two maps...
Changsen Yang, Yonghui Ren, Haixia Zhang. Source: Annals of Functional Analysis, Volume 10, Number 4, 509--514.Abstract: In this short article, we mainly give some examples to prove that the main results of Section 4 of the paper [W. S. Liao and J. Wu, Ann. Func. Anal. 6 (2015), no. 3, 191–202]...
Chuang-Liang Zhang. Source: Annals of Functional Analysis, Volume 10, Number 4, 496--508.Abstract: We give a natural Ky Fan minimax inequality version of set-valued maps, and we deal with a type of vector equilibrium problem for set-valued mappings on a special dense set not on the whole domain....
Mohammed Y. Abed, Mahdi Dehghani, Ruhollah Jahanipur. Source: Annals of Functional Analysis, Volume 10, Number 4, 483--495.Abstract: We introduce and study a generalized approximate orthogonality relation in real normed linear spaces, namely, approximate $\rho _{\lambda }^{v}$ -orthogonality. We...
Yingli Hou. Source: Annals of Functional Analysis, Volume 10, Number 4, 472--482.Abstract: In this paper we introduce a subclass of Cowen–Douglas operators of high-rank case denoted by $\mathcal{FB}_{n,1}(\Omega)$ . Each operator $T\in\mathcal{FB}_{n,1}(\Omega)$ is induced by one Cowen–Douglas...
Przemysław Górka, Paweł Pośpiech. Source: Annals of Functional Analysis, Volume 10, Number 4, 460--471.Abstract: We study Banach function spaces (BFS) on locally compact topological groups. We focus on totally bounded sets in BFS. We obtain the Riesz–Kolmogorov compactness theorem as well as the...
Yixin Yang, Senhua Zhu, Yufeng Lu. Source: Annals of Functional Analysis, Volume 10, Number 4, 447--459.Abstract: In this paper, we show that, for the rational inner function $\theta (z,w)=\frac{zw+\overline{b}w+\overline{c}z+\overline{d}}{1+bz+cw+dzw}$ , $S_{z}$ is reducible on the quotient...
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