Perturbation results and forward order law for the Moore–Penrose inverse in rings with involution
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Nadica Mihajlović
Abstract
We investigate perturbations of the Moore–Penrose inverse and forward order law for the Moore–Penrose inverse in rings with involution, and thus we extend some results of Castro–Gonzalez and Hartwig to more general settings.
Funding statement: The research is supported by the Ministry of Education, Science and Technological Development of Republic of Serbia, contract # 451-03-9/2021-14/200124.
References
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Articles in the same Issue
- Frontmatter
- Spectral description of Fredholm operators via polynomially Riesz operators perturbation
- On the estimation of the Bernoulli regression function using Bernstein polynomials for group observations
- Mazurkiewicz sets with no well-ordering of the reals
- On interpolation of reflexive variable Lebesgue spaces on which the Hardy–Littlewood maximal operator is bounded
- On the generalization of the Janashia–Lagvilava method for arbitrary fields
- On a boundary-domain integral equation system for the Robin problem for the diffusion equation in non-homogeneous media
- Classical inequalities for pseudo-integral
- The boundary value problem for one class of higher-order nonlinear partial differential equations
- On 𝑆-weakly prime ideals of commutative rings
- Necessary and sufficient conditions of optimality for second order discrete and differential inequalities
- Perturbation results and forward order law for the Moore–Penrose inverse in rings with involution
- On 𝑇1- and 𝑇2-productable compact spaces
- On a Riemann--Hilbert boundary value problem for (ϕ,ψ)-harmonic functions in ℝ m
- On an equation by primes with one Linnik prime
- Differentiable functions and their Fourier coefficients
Articles in the same Issue
- Frontmatter
- Spectral description of Fredholm operators via polynomially Riesz operators perturbation
- On the estimation of the Bernoulli regression function using Bernstein polynomials for group observations
- Mazurkiewicz sets with no well-ordering of the reals
- On interpolation of reflexive variable Lebesgue spaces on which the Hardy–Littlewood maximal operator is bounded
- On the generalization of the Janashia–Lagvilava method for arbitrary fields
- On a boundary-domain integral equation system for the Robin problem for the diffusion equation in non-homogeneous media
- Classical inequalities for pseudo-integral
- The boundary value problem for one class of higher-order nonlinear partial differential equations
- On 𝑆-weakly prime ideals of commutative rings
- Necessary and sufficient conditions of optimality for second order discrete and differential inequalities
- Perturbation results and forward order law for the Moore–Penrose inverse in rings with involution
- On 𝑇1- and 𝑇2-productable compact spaces
- On a Riemann--Hilbert boundary value problem for (ϕ,ψ)-harmonic functions in ℝ m
- On an equation by primes with one Linnik prime
- Differentiable functions and their Fourier coefficients
