Ali Zamani. Source: Annals of Functional Analysis, Volume 10, Number 3, 433--445.Abstract: In the following we generalize the concept of Birkhoff–James orthogonality of operators on a Hilbert space when a semi-inner product is considered. More precisely, for linear operators $T$ and $S$ on a...
Trung Hoa Dinh, Oleg E. Tikhonov, Lidia V. Veselova. Source: Annals of Functional Analysis, Volume 10, Number 3, 425--432.Abstract: We extend inequalities for operator monotone and operator convex functions onto elements of the extended positive part of a von Neumann algebra. In particular, this...
Qingmei Bai, Alatancang Chen, Junjie Huang. Source: Annals of Functional Analysis, Volume 10, Number 3, 412--424.Abstract: Let $M_{C}=[\begin{smallmatrix}A&C\\0&B\end{smallmatrix}]:\mathcal{D}(A)\oplus \mathcal{D}(B)\subset \mathcal{H}\oplus\mathcal{K}\longrightarrow \mathcal{H}\oplus...
Fuli Wang, Yujun Cui, Hua Zhou. Source: Annals of Functional Analysis, Volume 10, Number 3, 395--411.Abstract: We investigate the solvability for an infinite system of fractional order boundary value problems of differential equations in Banach sequence spaces $\ell _{\infty }$ and $\mathbf{c}$ ....
Janusz Morawiec, Thomas Zürcher. Source: Annals of Functional Analysis, Volume 10, Number 3, 381--394.Abstract: Fix $N\in\mathbb{N}$ , and assume that, for every $n\in\{1,\ldots,N\}$ , the functions $f_{n}\colon[0,1]\to[0,1]$ and $g_{n}\colon[0,1]\to\mathbb{R}$ are Lebesgue-measurable, $f_{n}$ is...
Mamoon Ahmed. Source: Annals of Functional Analysis, Volume 10, Number 3, 370--380.Abstract: Let $(G,G_{+})$ be a lattice-ordered abelian group with positive cone $G_{+}$ , and let $H_{+}$ be a hereditary subsemigroup of $G_{+}$ . In previous work, the author and Pryde introduced a closed ideal...
Mustapha Raïssouli, Rabie Zine. Source: Annals of Functional Analysis, Volume 10, Number 3, 357--369.Abstract: In this paper, we give some refinements and reverses for the Hermite–Hadamard inequality when the integrand map is the Fenchel conjugate in convex analysis. The theoretical results...
Ting Ting Zhou, Bin Liang. Source: Annals of Functional Analysis, Volume 10, Number 3, 350--356.Abstract: An operator $T\in \mathcal{B}(\mathcal{H})$ is complex-symmetric if there exists a conjugate-linear, isometric involution $C:\mathcal{H}\longrightarrow\mathcal{H}$ so that $CTC=T^{*}$ . In...
Yuan Zhao, Haibo Lin, Yan Meng. Source: Annals of Functional Analysis, Volume 10, Number 3, 337--349.Abstract: Let $({\mathcal{X}},d,\mu )$ be a metric measure space such that, for any fixed $x\in {\mathcal{X}}$ , $\mu (B(x,r))$ is a continuous function with respect to $r\in (0,\infty )$ . In this...
Zhujun Yang, Jianhua Zhang. Source: Annals of Functional Analysis, Volume 10, Number 3, 325--336.Abstract: We prove that every bijective map that preserves mixed Lie triple products from a factor von Neumann algebra $\mathcal{M}$ with $\dim \mathcal{M}\gt 4$ into another factor von Neumann algebra...
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