Positive Representations of L1 of a Vector Measure

We characterize the vector measures n on a Banach lattice such that the map |·|dn provides a quasi-norm which is equivalent to the canonical norm · n of the space L1(n) of integrable functions as an specific type of transformations of positive vector measures that we call cone-open transformations. We also prove that a vector measure m on a Banach space X constructed as a cone-open transformation of a positive vector measure can be considered in some sense as a positive vector measure by defining a new order on X.Ministerio de Educación y Ciencia MTM2006-11690-C0

Lorentz spaces of vector measures and real interpolation of operators

[EN] Using the representation of the real interpolation of spaces of p-integrable functions with respect to a vector measure, we show new factorization theorems for p-th power factorable operators acting in interpolation couples of Banach function spaces. The recently introduced Lorentz spaces of the semivariation of vector measures play a central role in the resulting factorization theorems. We apply our results to analyze extension of operators from classical weighted Lebesgue Lp-spaces ¿ in general with di¿erent weights ¿ that can be extended to their q-th powers. This is the case, for example, of the convolution operators defined by Lp-improving measures acting in Lebesgue Lp-spaces or Lorentz spaces. A new representation theorem for Banach lattices with a special lattice geometric property, as a space of vector measure integrable functions, is also proved.The fifth author acknowledges the support of the Ministerio de Economia y Competitividad (Spain) and FEDER under grant MTM2016-77054-C2-1-PDel Campo, R.; Fernández, A.; Mayoral, F.; Naranjo, F.; Sánchez Pérez, EA. (2020). Lorentz spaces of vector measures and real interpolation of operators. Quaestiones Mathematicae. 43(5-6):591-609. https://doi.org/10.2989/16073606.2019.1605413S591609435-

Rotura del ligamento deltoideo del tobillo: evaluación clínico-quirúrgica

No existe un criterio uniforme sobre la conduct a a seguir en el tratamient o de la rotur a del ligamento deltoideo del tobillo. Se ha n revisado 36 paciente s diagnosticados y tra - tado s quirúrgicament e de rotur a de dicho ligamento, la mayorí a de la s veces est a lesión iba acompañad a de fractur a del maleolo peroneo. Se ha valorado la etiología, el mecanismo lesional y los resultados siguiendo la clasificación de Cedell, considerándos e estos últimos como buenos en la práctic a totalidad de los casos. En cuatro de los paciente s (11%), se presentó como únic a secuela la limitación de la movilidad en los últimos grados de flexo-extensiónUniform criteria about the actions to be taken in the tearing of the ankle deltoid ligament d o no t exist. Thirt y si x patients diagnose d an d surgicall y treate d becaus e o f th e tearin g o f th e abov e mentione d ligamen t hav e bee n reviewed . Most o f th e times, this lesio n wa s accompanie d b y a fractur e o f th e peronea l maleolus. Etiology , injur y mechanism s an d results followin g Cedell's clasificatio n hav e bee n evaluate d an d th e results hav e bee n considere d goo d i n practicall y all cases. I n fou r patients, th e onl y secuel a wa s a limitatio n o f th e most extrem e grade s o f flexo-extension

Aroma composition of commercial truffle flavoured oils: does it really smell like truffle?

The present study analyzes the aromatic and odour volatile profiles of truffle flavoured oils commercialized as “black truffle oil”. The aim of this work is twofold: to define the sensory space associated to these products and to explore the possible fraudulent use of artificial flavouring agents not properly identified on the label. For this purpose, 12 commercial truffle flavoured oils available in the Spanish market were submitted to descriptive sensory analysis by a trained panel. The three oils presenting the most interesting profile (in terms of odour nature and/or complexity) were also analyzed by olfactometric analysis, in order to identify the chemical compounds responsible on their aroma. The correlation of sensory and olfactometric data made it possible to understand some of the sensory differences observed among samples, as well as to identify irregularities with respect to the ingredients labelling of some of the studied samples

Surgical ciliated cyst of the maxilla. Clinical case

Surgical ciliated cyst is uncommon in Western countries but frequently reported in Asian populations as a delayed complication of surgery, with inclusion in the bone of nasal or sinus mucosa. Isolated cases have also been reported in the mandible after orthognathic surgery. We report a case in the maxillary region three years after radical sinus surgery for chronic sinusitis. Intraoral examination revealed a small painless tumefaction with no color change in the surrounding tissues. Computed tomography demonstrated a well-defined intraosseous lesion lateral to the maxillary sinus. The lesion was completely excised, when histology demonstrated a pseudostratified ciliated epithelial lining. Differential diagnosis from other lesions such as an odontogenic keratocyst or inflammatory cyst were also made. This case report,uncommon in Western countries, of a surgical ciliated cyst illustrates the need for a meticulous surgical technique, proper management of complications, and routine, long-term follow-up of patients undergoing any type of sinus surgery

Fracturas conminutas de fémur tratadas con osteosíntesis intramedular encerrojada: estudio retrospectivo a medio plazo de 39 casos

Los autores analizan retrospectivamente los resultados obtenidos tras el tratamiento quirúrgico de 39 fracturas conminutas de la diáfisis femoral utilizando osteosíntesis intramedulares encerrojadas (29 de tipo Grosse-Kempf y 10 de tipo Brooker-Wills). Para la valoración de los resultados, se utilizan los criterios de Thorensen. Con un seguimiento medio de 3,5 años (rango, 2-8) se obtienen los siguientes resultados: 25 casos excelentes, 8 casos buenos, 5 casos regulares y 1 caso malo. En 6 pacientes, se presentaron problemas técnicos peroperatorios, 4 con clavos de Grosse-Kempf y 2 con clavos de Brooker-Wills. Dos de estos casos condicionaron retrasos de consolidación y otro evolucionó a una pseudoartrosis. La dinamización no se realizó en los últimos 3 años al no observarse diferencias tanto en tiempos de consolidación como en estabilidad de las osteosíntesis estáticas respecto a las dinamizadas. Comparativamente se considera el clavo de Brooker-Wills más sencillo en su colocación obteniéndose resultados clínicos similares respecto al de Grosse-Kempf. En fracturas tipo IV se sugiere utilizar el clavo de Grosse-Kempf no dinamizado por su mayor capacidad de controlar las cargas axiales evitando los acortamientos.The results of 39 comminuted femoral shaft fractures treated by intramedullary locking nailing (29 Grosse-Kempf and 10 Brooker-Wills) were reviewed. Results were evaluated according to Thorensen's criteria. With an average follow-up of 3.5 years (range, 2-8) results were excellent in 25 cases, good in 8 cases, fair in 5 and poor in one case. There were 6 cases with intraoperative technical problems, 4 Grosse-Kempf and 2 Brooker-Wills nailings. Two of these patients had a delayed union and one developed a non-union. In the last 3 years, dynamization was not performed because there was no major difference in the rate of healing of the fracture and stability of the device with the use of static compared with dynamic interlocked nailing. The Brooker-Wills nail insertion was easier than the Grosse Kempf, getting similar clinical results. In type IV fractures we recommended the static Grosse-Kempf nailing for its better biomechanical properties in axial loading avoiding excessive shortenin

Tratamiento quirúrgico de las fracturas de la diáfisis humeral

Se analizan las indicaciones del tratamiento quirúrgico de las fracturas de la diáfisis humeral y las ventajas e inconvenientes de las diferentes técnicas de osteosíntesis. Después de objetivar la gravedad de las fracturas con la clasificación de Nicoll, se practica un estudio comparativo de los resultados obtenidos, entre una serie de 79 casos tratados con la técnica de Hackethal y otra serie de 25 casos tratados mediante osteosíntesis con placa atornillada, relacionando el tiempo medio de consolidación con el tipo de trazo de fractura, localización del trazo y presencia de conminución en el foco de fractura. Se estudia asimismo la relación entre el tiempo medio de consolidación y el grado de Nicoll al que pertenecen las fracturas tratadas con el sistema de Hackethal.Indications of operative treatment of humeral shaft fractures and advantages and disadventages of the several types of internal fixation devices wer e analyzed. Nicoll's classification was used of 79 cases treated with Hackethal technique and one of 25 cases treated with plating techniques was made, relating the mean consolidation time with the kind of fracture pattern, the level of the fracture, and the presence of conminution. Relation-ship between mean consolidation time and the grade in Nicoll's classification in the series treated with Hackethal techniques was analyzed

Desarrollo de un modelo de perfil de copa para Pinus cooperi Blanco en la UMAFOR 1008, Durango, México

A crown profile model for Pinus cooperi Blanco in UMAFOR 1008 (El Salto, Pueblo Nuevo, Durango) was developed from data corresponding to 92 sampled trees. Trees with well-formed crowns were selected from stands varying in age, density and site quality. Diameter at breast height, total height, crown width, crown length, and crown profile were measured in each tree. To predict the crown profile, basic geometric shapes and several mathematic models were evaluated. The model developed by Hann (1999) best described the experimental data of the total crown, light crown, and shaded crown, accounting for over 92 % of the observed variability.Se desarrolló un modelo de perfil de copa para Pinus cooperi Blanco a partir de 92 árboles en la UMAFOR 1008 (Región El Salto, Pueblo Nuevo, Durango). Se seleccionaron individuos con una copa bien conformada y de diferente edad, densidad y calidad de estación. En cada uno de los individuos se midieron las variables diámetro normal, altura total, diámetro, longitud y perfil de copa. Tanto formas geométricas sencillas como algunos modelos matemáticos se analizaron para predecir el perfil de la copa. El mejor modelo para describir el perfil de copa de P. cooperi fue el de Hann (1999), ya que tuvo mejor ajuste para la copa entera, copa de luz y copa de sombra, explicando más de 92 % de la variabilidad de los datos.S

New pyrazolium salts as a support for Ionic liquid crystals and Ionic conductors

Ionic liquid crystals (ILCs) are a class of materials that combine the properties of liquid crystals (LCs) and ionic liquids (ILs). This type of materials is directed towards properties such as conductivity in ordered systems at different temperatures. In this work, we synthesize five new families of ILCs containing symmetrical and unsymmetrical substituted pyrazolium cations, with different alkyl long-chains, and anions such as Cl‾, BF₄‾, ReO₄‾, p-CH₃₋₆H₄SO₃‾(PTS) and CF₃SO₃‾ (OTf). We study their thermal behavior by polarized light optical microscopy (POM) and differential scanning calorimetry (DSC). All of them, except those with OTf as counteranion, show thermotropic mesomorphism. The observations by POM reveal textures of lamellar mesophases. Those agree with the arrangement observed in the X-ray crystal structure of [H₂pzᴿ⁽⁴⁾‚ᴿ⁽⁴⁾][ReO₄]. The nature of the mesophases is also confirmed by variable temperature powder X-ray diffraction. On the other hand, the study of the dielectric properties at variable temperature in mesomorphic (Cl‾‾and BF₄‾) and non-mesomorphic OTf) salts indicates that the supramolecular arrangement of the mesophase favors a greater ionic mobility and therefore ionic conductivity

Resolvin D2 Attenuates Cardiovascular Damage in Angiotensin II-Induced Hypertension.

Background: Resolution of inflammation is orchestrated by specialized proresolving lipid mediators (SPMs), and this would be impaired in some cardiovascular diseases. Among SPMs, resolvins (Rv) have beneficial effects in cardiovascular pathologies, but little is known about their effect on cardiovascular damage in hypertension. Methods: Aorta, small mesenteric arteries, heart, and peritoneal macrophages were taken from C57BL/6J mice, infused or not with angiotensin II (AngII; 1.44 mg/kg/day, 14 days) in presence or absence of resolvin D2 (RvD2) (100 ng/mice, every second day) starting 1 day before or 7 days after AngII infusion. Results: Enzymes and receptors involved in SPMs biosynthesis and signaling were increased in aorta or heart from AngII-infused mice. We also observed a differential regulation of SPMs in heart from these mice. Preventive treatment with RvD2 partially avoided AngII-induced hypertension and protected the heart and large and small vessels against functional and structural alterations induced by AngII. RvD2 increased the availability of vasoprotective factors, modified SPMs profile, decreased cardiovascular fibrosis, and increased the infiltration of pro-resolving macrophages. When administered in hypertensive animals with established cardiovascular damage, RvD2 partially improved cardiovascular function and structure, decreased fibrosis, reduced the infiltration of neutrophils, and shifted macrophage phenotype toward a pro-resolving phenotype. Conclusions: There is a disbalance between proinflammatory and resolution mediators in hypertension. RvD2 protects cardiovascular function and structure when administered before and after the development of hypertension by modulating vascular factors, fibrosis and inflammation. Activating resolution mechanisms by treatment with RvD2 may represent a novel therapeutic strategy for the treatment of hypertensive cardiovascular disease.pre-print362 K