Zero Point Problem of Accretive Operators in Banach Spaces
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-017-0470-3
Abstract: Splitting methods have recently received much attention due to the fact that many nonlinear problems arising in applied areas such as image recovery, signal processing and machine learning are mathematically modeled as a nonlinear operator… read more here.
Keywords: accretive operators; problem; banach spaces; zero point ... See more keywords
Distributional chaos for operators on Banach spaces
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.11.005
Abstract: Abstract Four notions of distributional chaos, namely DC1, DC2, DC 2 1 2 and DC3, are studied within the framework of operators on Banach spaces. It is known that, for general dynamical systems, DC1 ⊂… read more here.
Keywords: operators banach; chaos operators; banach spaces; dc1 dc2 ... See more keywords
Hypercyclic bilinear operators on Banach spaces
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.123771
Abstract: We study the dynamics induced by an $m$-linear operator. We answer a question of Bes and Conejero showing an example of an $m$-linear hypercyclic operator acting on a Banach space. Moreover we prove the existence… read more here.
Keywords: banach spaces; hypercyclic bilinear; bilinear operators; operators banach ... See more keywords
Weak sequential properties of the multiplication operators on banach algebras
Sign Up to like & getrecommendations! Published in 2021 at "Quaestiones Mathematicae"
DOI: 10.2989/16073606.2021.1943038
Abstract: Let $A$ be a Banach algebra. For $f\in A^{\ast}$, we inspect the weak sequential properties of the well-known map $T_f:A\to A^{\ast}$, $T_f(a) = fa$, where $fa\in A^{\ast}$ is defined by $fa(x) = f(ax)$ for all… read more here.
Keywords: weak sequential; operators banach; properties multiplication; multiplication operators ... See more keywords