N. O. Okeke

collaborators

5 papers

math.FA2024

Groupoid Characterization of Partial Algebras on Sobolev Spaces

N. O. Okeke, M. E. Egwe

The $L^{p}$ -spaces, with $p \neq = \infty$ , form a partial algebra $(L^{p} (Ω), Γ, \cdot)$ with pointwise multiplication of functions. The Sobolev spaces $W^{k, p} (Ω)$ , delineated by wea…

math.FA2024

Partial Dynamical Systems of $L^{p}$ -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 $L^{p} (Ω)$ spaces defined by the action of the smooth algebra $\ma…

math.DS2021

Groupoid approach to the dynamical system of commutative von Neumann Algebras

N. O. Okeke, M. E. Egwe

The automorphism group $A u t (X, μ)$ of a compact, complete metric space $X$ with a Radon measure $μ$ is a subgroup of $U (L^{2} (X, μ))$ -the unitary group of operators on $L^2(X…

math.OA2021

Groupoid Characterization of Locally Convex Partial $^{*}$ -Algebras

N. O. Okeke, M. E. Egwe

Given a locally convex space $(A, τ)$ with a Hausdorff locally convex topology $τ$ such that the following maps are continuous; $u \mapsto u^{*}$ for all $u \in A$ …

math.FA2021

Cohomogeneity One Groupoid Analysis of the Dynamical System of Rings of Continuous Functions

N. O. Okeke, M. E. Egwe

Using the group $G (1)$ of invertible elements and the maximal ideals $m_{x}$ of the commutative algebra $C (X)$ of real-valued functions on a compact regular space $X$ , we…

Groupoid Characterization of Partial Algebras on Sobolev Spaces

Partial Dynamical Systems of Lp-Spaces and their Stability Spaces

Groupoid approach to the dynamical system of commutative von Neumann Algebras

Groupoid Characterization of Locally Convex Partial ∗-Algebras

Cohomogeneity One Groupoid Analysis of the Dynamical System of Rings of Continuous Functions

Partial Dynamical Systems of $L^{p}$ -Spaces and their Stability Spaces

Groupoid Characterization of Locally Convex Partial $^{*}$ -Algebras