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Author

V. Wanjala

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Open access Sep 2026

Local spectral analysis of class wF(p, r, q) operators via Dunford property theory

This paper investigates the local spectral properties of class (w mathcal{F}(p,r,q)\) operators. By establishing connections with a related operator-equation framework, we show that these operators satisfy important spectral properties, including the single-valued extension property (SVEP), property ((mathcal{Q})), and...

V. Wanjala, Amenya Collins · 0 citations
Open access Nov 2026

Generalized Analytic Function Classes Using an Extended Two-Factor q-Differential Operator: Fekete–Szegő Problem

In this paper, we introduce an extended two-factor q-differential multiplier operator denoted by ℳq,,n,mf(z). Using this operator, we define the associated subclasses Xq,,n,m() and Yq,,n,m(,) of analytic functions. We obtain upper bounds for the initial coefficients a2, a3 and FeketeSzeg inequalities for the functional...

V. Wanjala, B. Adhiambo · 0 citations
Open access Aug 2026

Range–kernel Orthogonality for Generalized Derivations Associated with Generalized Finite Pairs

Let  be a complex Hilbert space,  the algebra of bounded operators on , and  the generalized derivation determined by . A pair  is generalized finite when  for every . This paper develops a formulation that keeps generalized finiteness, which is a property of the pair , distinct from range–kernel orthogonality, which c...

Amenya Collins Sule, V. Wanjala · 0 citations

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