Some conditions are introduced which imply pointwise convergence theorems for increasing sequences of orthogonal projections on $L^2(\mu), \mu$ finite, as well as a ...

Statistical convergence and approximation theorems constitute a dynamic area in mathematical analysis, bridging classical convergence methods with probabilistic approaches that account for irregular ...

Proceedings of the American Mathematical Society, Vol. 60, No. 1 (Oct., 1976), pp. 273-275 (3 pages) A short and simple proof of a theorem of Chacon is presented by an application of a maximal ...

Topological spaces form the foundational framework for modern analysis and geometry, characterised by a set equipped with a collection of open subsets satisfying specific axioms. This flexible ...