Peter Oyoo Maina
Lecturer At Laikipia University, School Of Mathematics, P.o Box 1100, Nyahururu, Kenya
Weyl's Spectrum And Quasisimilar Biquasitriangular Operators In Hilbert Space
Various notion of equality of spectra and essential spectra of quasi similar operators have been studied, but the same results has not been reflected clearly with ω(A) . This paper shows that the theory for the notion of ω(A) simplifies if the underlying space is a separable infinite dimensional Hilbert space and the operator is reduced by its

Peter Oyoo Maina
Lecturer, Laikipia University, Department Of Mathematics, P.o Box 1100-20300 Nyahururu, Kenya
Nilpotent As Algebraic Structure Dominant In Ring But Not In Integral Domain
It has been shown that in any nonzero commulative ring R,x ? R is nilpotent if x n = 0 for some n > 0 and all nilpotent elements in a nonzero ring are zero divisors but the converse is not necessarily true.In this paper we establish that in a nonzero ring R which 0 is the only zero

Peter Oyoo Maina
Lecturer, Laikipia University, Department Of Mathematics, P.o Box 1100-20300 Nyahururu, Kenya
Restricted Mapping Generates A Vector Space And Isomorphism Between Subspaces
It has been shown that if α : V −→ U is a linear transformation and W be any subspace of V .Then αW (the set of all vectors a(x) with x ∈ W is a subspace of U . We establish that if W is a subspace of V and α : V −→ U is a linear transformation; then the mapping

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