Article Per Year (5 Year)
p-Index From 2021 - 2026
0.408
P-Index
This Author published in this journals
All Journal Jambura Journal of Mathematics Hilbert Journal of Mathematical Analysis
Victor Wanjala
Maasai Mara University
Chemistry Control & Systems Engineering Engineering Mathematics Physics

Published : 2 Documents Claim Missing Document
Claim Missing Document
Check
Articles

Found 2 Documents
Search

 1 
On Deformed-Metric Equivalence of Hilbert Space Operators Amenya Collins; Victor Wanjala; John Matuya
Jambura Journal of Mathematics Vol 8, No 2: August 2025
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjom.v8i2.36685

Abstract

This paper introduces and studies a novel class of equivalence relations in operator theory, called deformed-metrically equivalent operators. Two operators S and T in B(H) are said to be deformed-metrically equivalent if there exists a positive operator P such that SPS = TT. This definition generalizes traditional metric equivalence by incorporating a positive deformation operator P, enabling a richer algebraic and spectral analysis. We establish several fundamental results, including the preservation of key operator classes such as normality, posinormality, and compactness under suitable commutativity conditions. Spectral inclusion relations are derived under invertibility assumptions, and the equivalence is shown to be stable under limits, tensor products, and functional calculus. Moreover, the set of all operators deformed-metrically equivalent to a given operator forms an affine space that is closed in the weak operator topology. These findings deepen the theoretical framework of operator equivalence and reveal new connections with well-studied classes such as posinormal, supraposinormal, and k-quasi n-power posinormal operators.
Quasi-P-almost class (Q) composition operators Victor Wanjala
Hilbert Journal of Mathematical Analysis Vol. 4 No. 1 (2025): Hilbert J. Math. Anal.
Publisher : KOMUNITAS Analisis Matematika INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62918/hjma.v4i1.41

Abstract

In this paper, we generalize almost class (Q) operators to Quasi-p-almost class (Q) operators.A bounded linear operator Ξ is said to be a Quasi-p-almost class (Q) operator ifΞ∗2Ξ2(Ξ + Ξ∗) ≥ (Ξ + Ξ∗)(Ξ∗Ξ)2.We characterize this class using the Radon-Nikodym derivativeλ(Ξ2)−1in terms of the multiplicationoperator with respect to λ. Results characterizing this class in terms of weighted composition operatorsare also presented
Co-Authors Amenya Collins John Matuya