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math.FA2024
Groupoid Characterization of Partial Algebras on Sobolev Spaces
N. O. Okeke, M. E. Egwe
The -spaces, with , form a partial algebra with pointwise multiplication of functions. The Sobolev spaces , delineated by wea…
math.FA2024
Partial Dynamical Systems of -Spaces and their Stability Spaces
N. O. Okeke, M. E. Egwe
Using the convolution product and weak derivatives, we consider the partial dynamical systems of the locally convex spaces defined by the action of the smooth algebra $\ma…
math.FA2021
Cohomogeneity One Groupoid Analysis of the Dynamical System of Rings of Continuous Functions
N. O. Okeke, M. E. Egwe
Using the group of invertible elements and the maximal ideals of the commutative algebra of real-valued functions on a compact regular space , we…