Topological algebras of bounded operators with locally solid Riesz spaces

2018/02/09 by Aydın, Abdullah
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1802.03163

Abstract

Let X be a vector lattice and (E,τ) be a locally solid vector lattice. An operator T:X→ E is said to be ob-bounded if, for each order bounded set B in X, T(B) is topologically bounded in E. In this paper, we study on algebraic properties of ob-bounded operators with respect to the topology of uniform convergence and equicontinuous convergence.

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