Leibniz Seminorms and Best Approximation from C*-subalgebras

We show that if B is a C*-subalgebra of a C*-algebra A such that B contains a bounded approximate identity for A, and if L is the pull-back to A of the quotient norm on A/B, then L is strongly Leibniz. In connection with this situation we study certain aspects of best approximation of elements of a unital C*-algebra by elements of a unital C*-subalgebra.Comment: 24 pages. Intended for the proceedings of the conference "Operator Algebras and Related Topics". v2: added a corollary to the main theorem, plus several minor improvements v3: much simplified proof of a key lemma, corollary to main theorem added v4: Many minor improvements. Section numbers increased by

Nutraceutical therapies for atherosclerosis

Atherosclerosis is a chronic inflammatory disease affecting large and medium arteries and is considered to be a major underlying cause of cardiovascular disease (CVD). Although the development of pharmacotherapies to treat CVD has contributed to a decline in cardiac mortality in the past few decades, CVD is estimated to be the cause of one-third of deaths globally. Nutraceuticals are natural nutritional compounds that are beneficial for the prevention or treatment of disease and, therefore, are a possible therapeutic avenue for the treatment of atherosclerosis. The purpose of this Review is to highlight potential nutraceuticals for use as antiatherogenic therapies with evidence from in vitro and in vivo studies. Furthermore, the current evidence from observational and randomized clinical studies into the role of nutraceuticals in preventing atherosclerosis in humans will also be discussed

Antenatal Bartter's syndrome with sensorineural deafness

Bartter's syndrome is a group of inherited, salt-losing tubulopathies presenting as metabolic alkalosis with normotensive hyperreninemia and hyperaldosteronism. We report here the first case of a neonate with bilateral, sensorineural deafness, a variant of antenatal Bartter's syndrome from an Indian community

Comparative Study and Quantitative Analysis of Stachydrine in Alfalfa Mother Tincture Prepared from Different Homoeopathic Pharmaceutical Companies

Background: Stachydrine has been identified as the major alkaloid in alfalfa and it is positively correlated with protein contents. More stachydrine was present in leaves than in the stems of plants. Alkaloid was ascertained by using Mayer’s reagent and Isatin reagent. Uv-vis spectrophotometer is an apparatus used to encounter specific absorbance such Alkaloids, Phenols, etc. in the given samples quartz cuvette is utilized for the sample scrutiny. Aim: To compare Stachydrine content in Alfalfa mother tincture prepared from different Homoeopathic Pharmaceutical Companies. Methods: 1ml of Alfalfa mother tincture from various homoeopathic pharmaceutical companies were amalgamated with 1ml of Mayer’s reagent in different test tubes as A,B,C,D,E,F,G,H. Stachydrine absorbance value was confiscated in Uv-vis spectrophotometer at 264nm. Results: Following Results had been ascertained after passing all the samples at 264nm in Uv-vis spectrophotometer. Sample A: ADEL Alfalfa mother tincture sample: 3.456 Sample B: BJAIN PHARMA Alfalfa mother tincture sample: 3.557 Sample C: LORD’S Alfalfa mother tincture sample: 3.668 Sample D: MEDISYNTH Alfalfa mother tincture sample: 3.763 Sample E: SBL Alfalfa mother tincture sample: 3.498 Sample F: Dr. RECKEWEG Alfalfa mother tincture sample: 3.335 Sample G: SIMILIA Alfalfa mother tincture sample: 3.615 Sample H: WILLMAR SCHWABE Alfalfa mother tincture sample: 3.526 Conclusion: Stachydrine absorbance was quantified by using Uv-vis spectrophotometer at264nm. The results gained from study had flaunted that sample D has highest amount of Stachydrine