A JORDAN-LIKE DECOMPOSITION IN THE NONCOMMUTATIVE SCHWARTZ SPACE

2014 ◽  
Vol 91 (2) ◽  
pp. 322-330 ◽  
Author(s):  
KRZYSZTOF PISZCZEK
Keyword(s):  
Schwartz Space ◽  
Natural Sense ◽  
Positive Functionals

AbstractWe show that every continuous self-adjoint functional on the noncommutative Schwartz space can be decomposed into a difference of two positive functionals. Moreover, this decomposition is minimal in the natural sense.

THE NON-COMMUTATIVE SCHWARTZ SPACE IS WEAKLY AMENABLE

2016 ◽  
Vol 59 (2) ◽  
pp. 437-443 ◽  
Author(s):  
KRZYSZTOF PISZCZEK
Keyword(s):  
Open Problem ◽  
Schwartz Space

AbstractWe show in a straightforward way that the non-commutative Schwartz space is weakly amenable. At the end, we leave an open problem.

scholarly journals BREAST IRONING: A RAPE OF THE GIRL-CHILD’S PERSONALITY INTEGRITY AND SEXUAL AUTONOMY

2020 ◽  
Vol 1 (3) ◽  
pp. 93
Author(s):  
Titi Christiana Falana
Keyword(s):  
Female Child ◽  
Social Consequences ◽  
Dropping Out ◽  
Research Approach ◽  
Personal Integrity ◽  
Girl Child ◽  
Sexual Autonomy ◽  
Universal Human Rights ◽  
Natural Sense ◽  
Sense Of Justice

<p>Breast ironing also known as breast flattening, has been considered as one of the most widespread and systematic violations of the universal human rights to personal integrity and sexual autonomy perpetuated against the girl child. This exhilarating practice which is typically carried out by the girl’s mother on the pretext of protecting the female child from teenage sexual harassment and rape, early pregnancy and dropping out of school is unfortunately done to protect family name. Employing the qualitative research approach and the expository analytic method, this research reveals that this practice has ensuring clinical, psychological and social consequences on the female victim. The paper considers this practice a rape based on the fact that the female victim’s consent is never sought. Natural sense of justice demands that the victim whose personality integrity and right to sexual autonomy was to be defiled and destroyed deserves to give an informed consent. Therefore, the paper concludes that this harmful practice is an abuse because it violently violates the girl child right full sexual autonomy and right to possess natural physiological endowment that adorns a woman. This paper therefore recommends that strict laws and penalties should be promulgated to totally abolish and eradicate this barbaric and horrific mutilation.</p>

scholarly journals Preliminary Assessment on the Effect of Bentonite and Ibeshe Clay on Bleaching of Rubber (Hevea Brasiliensis) Seed Oil

2019 ◽  
Vol 8 (4) ◽  
pp. 12274-12278
Keyword(s):  
Seed Oil ◽  
Research Work ◽  
Bentonite Clay ◽  
Xrd Analysis ◽  
Rubber Seed Oil ◽  
Physiochemical Properties ◽  
Rubber Seed ◽  
Natural Sense ◽  
Ft Ir ◽  
Removal Of Impurities

Rubber seed though not common known is very rich in its oil yield and over time its importance is becoming more prominent. Bleaching in the natural sense is relative to the removal of impurities from the oil or material. In this research work, Rubber seed oil was bleached using bentonite clay and Ibeshe clay at 0.5M, 1M and 2M concentrations of Hydrochloric acid. Physiochemical properties as well as spectroscopic analysis such as FT-IR and XRD analysis were carried out and aided in obtaining the bleaching efficiency of both clays. The FT-IR results displayed a visible change in the oil after it was bleached with Ibeshe clay but still retained most its functional group when bleached with bentonite clay. At 2M concentration of the acid, the oil bleached with bentonite showed 53% while with Ibeshe clay it remained at 16%. This summarizes that Ibeshe clay has little to no effect on bleaching performance.

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