Volume 11 (2022)
Volume 10 (2021)
Volume 09 (2020)
Volume 08 (2019)
Volume 07 (2018)
Volume 06 (2017)
Volume 05 (2016)
Volume 04 (2015)
Volume 03 (2014)
Volume 02 (2013)
Volume 01 (2012)
Number of Articles: 6
On the h-Jensen's operator inequality
Volume 11, Issue 02 , June 2022, Pages 77-83
Abstract
In this paper, we prove Jensen's operator inequality for an h-convex function and we point out the results for classes of continuous fields of operators. Also, some generalizations of Jensen's operator inequality and some properties of the h-convex function ... Read MoreTopological spaces induced by homotopic distance
Volume 11, Issue 02 , June 2022, Pages 85-91
Abstract
Topological complexity which plays an important role in motion planning problem can be generalized to homotopic distance $\mathrm{D}$ as introduced in \cite{MVML}. In this paper, we study the homotopic distance and mention that it can be realized as a pseudometric on $\mathrm{Map}(X,Y)$. ... Read MoreOn equality of complete positivity and complete copositivity of positive map
Volume 11, Issue 02 , June 2022, Pages 93-108
Abstract
In this paper we construct a $2$-positive map from $\ma_4(\Complex)$ to $\ma_5(\Complex)$ and state the conditions under which the map is positive and completely positive (copositivity of positive). The construction allows us to create a decomposable map, where the Choi matrix of complete ... Read MoreOn the continuity of some linear maps on certain Banach algebras
Volume 11, Issue 02 , June 2022, Pages 109-122
Abstract
Let $\mathcal{A}$ and $\mathcal{U}$ be Banach algebras, $\theta$ be a nonzero character on $\mathcal{A}$ and let ${\mathcal{A}}\times_{\theta}{\mathcal{U}}$ be the corresponding Lau product Banach algebra. In this paper we investigate derivations and multipliers of ${\mathcal{A}}\times_{\theta}{\mathcal{U}}$ ... Read MoreBornological linearly topologized modules over a discrete valuation ring
Volume 11, Issue 02 , June 2022, Pages 123-128
Abstract
In this work the notion of a bornological linearly topologized mo\-dule over a discrete valuation ring is introduced and it is shown that certain semimetrizable linearly topologized modules are bornological. The main result is a characterization of bornological linearly topologized modules, ... Read MoreEquivariant homologies for operator algebras; a survey
Volume 11, Issue 02 , June 2022, Pages 129-142