Unitary colligations of operators in Krein spaces

A model for non-contractive functions is given, according to which every bounded analytic function coincides with the characteristic function of a suitable unitary colligation. In our construction, the function is expressed in terms of a fundamentally reducible unitary dilation of the basic operator of the colligation.The results in this paper first appeared as part of the author's doctoral thesis [13] at the Universidad Central de Venezuela, under the supervision of Mischa Cotlar. The work has been supported by the Consejo Nacional de Investigaciones Cientificas y Techológicas (CONICIT-Venezuela). I am grateful to Professor Aad Dijksma, who read an earlier version of this note and made several helpful criticisms. I also thank Professor Mischa Cotlar for his kind encouragement and Professor Alejandra Cabana for correcting the english text.     

Hybrid Inorganic-Organic Sol–Gel Coatings in the SiO2-TiO2 System

In the present work, the influence of substituted Si-alkoxides on the structural and optical properties of films obtained in the SiO₂-TiO₂ system was studied. Methyltriethoxysilane (MTEOS) and 3-(tri-methoxysilyl)propyl methacrylate (TSPM) were used as SiO₂ sources and Ti(OBu)₄ was used as TiO₂ source. Acetylacetone was added to the Ti(OBu)₄ as chelating agent and the synthesis was carried out in acid medium. The films were deposited on oxidized Si-wafers by spin-coating. The films were characterized by XRD, spectro-ellipsometry (SE), and atomic force microscopy (AFM). The results obtained have shown that in the case of hybrid films the desired thickness could be obtained in a single deposition step. The thickness of the films and the optical properties are controlled by the bulkiness of the organic substitute bounded to Si. Among other optical applications, the potential use of such films as optical waveguides is proposed.     

Selective inhibition of 6-phosphogluconate dehydrogenase from Trypanosoma brucei

A number of triphenylmethane derivatives have been screened against 6-phosphogluconate dehydrogenase from Trypanosoma brucei and sheep liver. Some of these compounds show good inhibition of the enzymes and also selectivity towards the parasite enzyme. Modelling was undertaken to dock the compounds into the active sites of both enzymes. Using a combination of DOCK 3.5 and FLEXIDOCK a correlation was obtained between docking score and both activity for the enzymes and selectivity. Visualisation of the docked structures of the inhibitors in the active sites of the enzymes yielded a possible explanation of the selectivity for the parasite enzyme.     

Synthesis, X-ray diffraction characterization, and radiative properties of Er(2)O(3)-ZrO(2) nanocrystals embedded in LAS glass ceramic

Low thermal expansion Li(2)O-Al(2)O(3)-SiO(2) (LAS) glass ceramic was examined as a host matrix for erbium ions. ZrO(2) was added to the glass since it serves as a nucleating agent and as a good environment for the luminescent ions. The study was carried out on amorphous powders of the Li(2)O-Al(2)O(3)-SiO(2)/ZrO(2)/Er(2)O(3) system prepared by the sol-gel method and successively crystallized at different temperatures. X-ray diffraction (XRD), transmission electron microscopy (TEM), and infrared (IR) spectroscopy were employed to study the evolution of the crystalline phases and the distribution of the erbium ions. The TEM micrographs confirmed that, after thermal treatment at 1000 degrees C, the crystallization of nanoparticles constituted by an Er(2)O(3)-ZrO(2) solid solution with narrow size distribution could be achieved. On the contrary, erbium silicate was detected in the samples without ZrO(2). The repartition constant of Er(2)O(3) between ZrO(2) and LAS matrix has been also evaluated.     

Determination of trace amounts of highly hydrophilic compounds in water by direct derivatization and gas chromatography — mass spectrometry

A new procedure has been developed to derivatize a large set of highly hydrophilic substances ((poly) hydroxy and/or (poly)carboxylic acids, glycols and dihydroxybenzenes) directly in water. The key element of the method is the derivatizing agent used, n-hexyl chloroformate, which proved to be much more effective than other alkyl and aryl chloroformates. Detection limits in the low μg/L range were found for most of the compounds studied, using positive ion chemical ionization mass spectrometry as the detection technique. Calibration curves exhibited a good linearity over 2–3 orders of magnitude, so that quantitative determinations were possible. Among the experimental parameters tested, it was found crucial to introduce the chloroformate slowly and under sonication. The whole derivatization procedure takes only 2–3 min from sample collection to injection into the gas chromatograph.     

Chromatographic performance of a new polar poly(ethylene glycol) bonded phase for the phytochemical analysis of Hypericum perforatum L

The aim of this study was to evaluate the chromatographic performance of a poly(ethylene glycol) (PEG) stationary phase for the HPLC analysis of the secondary metabolites (chlorogenic acid, flavonoids, phloroglucinols and naphthodianthrones) in methanolic extracts of Hypericum perforatum L. (St. John's Wort) flowering tops, herbal medicinal products and dietary supplements. A fast and reliable method was developed. The analyses were carried out on a Supelco Discovery HS PEG column (150 mm x 4.6 mm i.d., 5 microm). A gradient mobile phase, composed of 0.1 M aqueous acetic acid solution (pH 2.8) and methanol-acetonitrile (5:4, v/v), was used. The flow rate was 1 mL/min. The photodiode array detector monitored the eluent at 270 (for chlorogenic acid, flavonoids and phloroglucinols) and 590 nm (for naphthodianthrones). The column was maintained at room temperature. The total running time was 40 min. The method was validated and showed good linearity, precision, accuracy, sensitivity and specificity. Through the above described phytochemical markers, this technique allowed the unequivocal identification and standardization of H. perforatum plant material and phytoproducts. The quantification data highlighted the fact that the products on sale, in particular those labeled as dietary supplements, varied widely in the quantitative composition of the active constituents. The developed method could be considered suitable for the quality control of H. perforatum herb and derivatives.     

Mass spectrometric studies of 2-aryl-5-acetylthiazole derivatives

Electron ionisation mass spectrometry was usefully used to characterize structurally 2-aryl-5-acetylthiazole derivatives in the gas phase. The compounds show characteristic fragmentation pathways depending on the chemical nature of the substituent at position 2, consisting mainly in the cleavage of both the 1,2- and 3,4-bonds of the thiazole ring. Liquid secondary ion mass spectrometry was applied to study the effects of protonation on the gas-phase unimolecular reactions of this class of compound. Tandem mass spectrometric experiments, carried out on molecular and protonated molecular ions, and also on fragment ions produced in the source, allowed the elucidation of gas-phase decompositions of low-internal energy ions.     

Synthesis of a new series of N-substituted-3-[l-alkyl(aryl)- 4-piperidyl]azetidin-2-ones as possible muscarinic agents

A new series of N-substituted-3-[1-alkyl(aryl)-4-piperidyl]azetidin-2-ones 2a-j structurally related to the previously reported 2,7-diazaspiro[3.5]nonan-1-ones 1 have been synthesized and tested for their activity as muscarinic agents, both in vitro and in vivo. Preliminary pharmacological results showed that compounds 2 are devoid of significant cholinergic properties.     

Determination of vegetal proteins in milk powder by sodium dodecyl sulfate-capillary gel electrophoresis: interlaboratory study

An interlaboratory study, with the participation of 8 laboratories, was conducted to evaluate a sodium dodecyl sulfate-capillary gel electrophoresis method for determination of adulteration of milk powder with soy and pea proteins. Calibration standards (0-8%, w/w, soy and pea protein in total protein) and adulterated skim milk powders (0-5%, w/w, soy and pea proteins in total protein) were produced. Vegetal proteins were determined after removal of milk proteins by pretreatment of the samples with tetraborate-EDTA buffer, pH 8.3. Repeatability standard deviations ranged from 9 to 15% and reproducibility standard deviations ranged from 25 to 30% in the samples containing 5% vegetal protein in total protein.     

Detection of trace radioisotopes in soil,sediment and vegetation by glow discharge mass spectrometry

The possibility for the determination of some radioisotopes of cesium, strontium, plutonium, uranium and thorium by glow discharge mass spectrometry (GDMS) in soils, sediments and vegetations is investigated. The preparation of samples is described as a combination of the use of a conductive host matrix and a secondary cathode in order to decrease the dilution effect of the blending material for the trace level determination and to gain a stable discharge. Effects of interferences arising from the nature of the conductive host matrix and of the secondary cathode on the sensitivity of the method are discussed. The determination of (137)Cs and (90)Sr has been attempted and the results obtained were in agreement with those from other analytical techniques. Accuracy, internal and external precisions have been also evaluated. GDMS is shown to be a helpful technique for the determination of radioisotopes in environmental samples. Radioisotopes can be determined according to the matrix of the sample (e.g. grass), also in presence of isobaric interferences. However, limitations still exist on the application of GDMS.