Mangatiana A. Robdera

Unconditional Integrability with Application to Ergodic Theorem

Mangatiana A. Robdera & Dintle N. Kagiso · Asian Research Journal of Mathematics · 2017

We present a straightforward introduction to the unconditional integrability in the extended sense. We state and proof useful necessary and sufficient conditions for unconditional integrability of complex or real valued functions. As an application, we obtain a simpler direct pro...

Open access Research Article 10.9734/ARJOM/2017/35466

Extensions of the Lusin's Theorem, the Severini-Egorov's Theorem and the Riesz Subsequence Theorems

Mangatiana A. Robdera · Asian Research Journal of Mathematics · 2016

We give extensions of the Lusin's Theorem, the Severini-Egorov's Theorem, and the Riesz Subsequence Theorems to the setting of a non-additive vector valued set functions and sequences of functions taking values in general metric spaces.

Open access Research Article 10.9734/ARJOM/2016/29547

On the Subspace Problem for Quasi-normed Spaces

Mangatiana A. Robdera · Asian Research Journal of Mathematics · 2016

A definitive positive answer to the so-called proper subspace problem (a.k.a. the atomic space problem) for quasi-normed spaces is given: every infinite dimensional quasi-normed space has a proper closed infinite-dimensional subspace.

Open access Research Article 10.9734/ARJOM/2016/26927