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Anti-G-Hermiticity Preserving Linear Map That Preserves Strongly the Invertibility of Calkin Algebra Elements

 

Abstract

 

A linear map ψ : X → Y of algebras X and Y preserves strongly invertibility if ψ(x−1) = ψ(x)−1 for all x X−1, where X−1 denotes the set of invertible elements of X. Let B(H) be the Banach algebra of all bounded linear operators on a separable complex Hilbert space H with dim H = ∞. A Calkin algebra C(H) is the quotient of B(H) by K(H), the ideal of compact operators on H. An element A + K(H)C(H) is said to be anti-G-Hermitian if (A + K(H))# = −A + K(H), where the #-operation is an involution on C(H). A linear map 𝜏 : C(H) → C(H) preserves anti-G-Hermiticity if 𝜏 (A + K(H))# = −𝜏 (A + K(H)) for all anti-G-Hermitian element A + K(H)C(H). Read More

. Posted on October 30, 2017 by Manila Journal of Science
Manila Journal of Science 11 (2018), pp. 11-21

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Prevalence, Antigenic Recognition and IgG Antibody Response in Pigs Infected with Sarcoptes scabiei var. suis in Confined Pens

 

Abstract

Hog mange is a serious pruritic dermatitis caused by the itch mite Sarcoptes scabiei var. suis. The itch mite has remained a severe ectoparasite of utmost importance to the pig industry, especially with the environment promoting its spread. The ubiquity cum difficulty in diagnosing and treatment has led to great economic losses. This study aimed at evaluating the prevalence and antigenic recognition spectra of confined pigs in a resource poor community in Ogbomosho, South-West Nigeria. Read More

. Posted on October 13, 2017 by Manila Journal of Science
Manila Journal of Science 11 (2018), pp. 1-10

Giardiasis and its Associated Risk Factors Among School Children in Selected Rural Communities in South Eastern Nigeria

Abstract

The study was conducted to determine the prevalence of giardiasis among school children in Afikpo North Local Government Area, Ebonyi State, Nigeria. The study was carried out from June to October, 2015. Direct smear, iodine wet mounts, and the formol-ether concentration technique were used to analyze the stool samples. Out of 600 stool samples from pupils aged 5-16 years from six primary schools examined, 30 (5.0%) were infected. Read More