Search
Now showing items 21-24 of 24
Unconditional integrability with application to ergodic theorem
(ScienceDomain International, http://www.sciencedomain.org/, 2017-08-07)
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 ...
Fundamental Theorem of Calculus in Topological Vector Spaces
(Journal of Mathematics Extension, 2017-10)
We extend the notions of integration and differentiation to cover the class of functions taking values in topological vector spaces. We give versions of the Lebesgue-Nikodym Theorem and the Fundamental Theorem of Calculus ...
On the Riesz representation theorem and integral operators
(NISC (Pty) Ltd, http://www.nisc.co.za/, 2015-12-14)
We present a Riesz representation theorem in the setting of extended integration theory as introduced in [6]. The result is used to obtain boundedness theorems for integral operators in the more general setting of spaces ...
Some relations between admissible monomials for the polynomial algebra
(Hindawi Publishing Corporation, www.Hindawi.com, 2015)
Let P(𝑛) = F2[𝑥1, . . . , 𝑥𝑛] be the polynomial algebra in 𝑛 variables 𝑥𝑖, of degree one, over the field F2 of two elements. The mod-2 Steenrod algebra A acts on P(𝑛) according to well known rules. A major problem ...