Search results for "8b"

showing 10 items of 62 documents

Commutator anomalies and the Fock bundle

1990

We show that the anomalous finite gauge transformations can be realized as linear operators acting on sections of the bundle of fermionic Fock spaces parametrized by vector potentials, and more generally, by splittings of the fermionic one-particle space into a pair of complementary subspaces. On the Lie algebra level we show that the construction leads to the standard formula for the relevant commutator anomalies.

CommutatorHigh Energy Physics::Lattice58D30Statistical and Nonlinear Physics58B25Space (mathematics)Linear subspace58G35Fock spaceLinear map81D07Quantum mechanicsLie algebraGauge theoryAnomaly (physics)Mathematical PhysicsMathematical physicsMathematics81E13
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Convergence for varying measures

2023

Some limit theorems of the type $\int_{\Omega}f_n dm_n -- --> \int_{\Omega}f dm$ are presented for scalar, (vector), (multi)-valued sequences of m_n-integrable functions f_n. The convergences obtained, in the vector and multivalued settings, are in the weak or in the strong sense.

Convergence in total variationSetwise convergenceConvergence in total variationUniform integrabilityAbsolute integrabilityPettis integralMultifunctionAbsolute integrabilitySetwise convergenceApplied MathematicsFunctional Analysis (math.FA)28B20 26E25 26A39 28B05 46G10 54C60 54C65Mathematics - Functional AnalysisMultifunctionSettore MAT/05 - Analisi MatematicaFOS: MathematicsPettis integralUniform integrabilityAnalysisJournal of Mathematical Analysis and Applications
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Non absolutely convergent integrals of functions taking values in a locally convex space

2006

Properties of McShane and Kurzweil-Henstock integrable functions taking values in a locally convex space are considered and the relations with other integrals are studied. A convergence theorem for the Kurzweil-Henstock integral is given

Convex analysisMcShane integralGeneral MathematicsMathematical analysisConvex setProper convex functionSubderivativeKurzweil-Henstock integralChoquet theory28B05McShaneintegral Pettis integralSettore MAT/05 - Analisi MatematicaLocally convex topological vector spacelocally convex spacesPettis integralConvex combinationAbsolutely convex setMathematics46G10
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Multi-integrals of finite variation

2020

The aim of this paper is to investigate different types of multi-integrals of finite variation and to obtain decomposition results.

Decomposition of multifunctionsFinite variation54C60General Mathematics010102 general mathematics54C6501 natural sciencesFunctional Analysis (math.FA)28B20 26E25 26A39 28B05 46G10 54C60 54C65Mathematics - Functional Analysis28B0526A3926E25Settore MAT/05 - Analisi MatematicaFinite interval variationFOS: MathematicsDecomposition (computer science)Applied mathematicsMathematics - Functional Analysis; Mathematics - Functional Analysis; 28B20 26E25 26A39 28B05 46G10 54C60 54C6528B200101 mathematicsMultivalued integralMathematics46G10
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Lineability of non-differentiable Pettis primitives

2014

Let \(X\) be an infinite-dimensional Banach space. In 1995, settling a long outstanding problem of Pettis, Dilworth and Girardi constructed an \(X\)-valued Pettis integrable function on \([0,1]\) whose primitive is nowhere weakly differentiable. Using their technique and some new ideas we show that \(\mathbf{ND}\), the set of strongly measurable Pettis integrable functions with nowhere weakly differentiable primitives, is lineable, i.e., there is an infinite dimensional vector space whose nonzero vectors belong to \(\mathbf{ND}\).

Discrete mathematicsPettis integralMathematics::Functional AnalysisIntegrable systemGeneral MathematicsBanach space46G10 28B05Functional Analysis (math.FA)Mathematics - Functional AnalysisSet (abstract data type)Dvoretzky's theoremFOS: MathematicsLocally integrable functionDifferentiable functionPettis Integral nowhere differentiable Dvoretzky's theorem lineable spaceableMathematicsVector spaceMonatshefte für Mathematik
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Butterflies in a Semi-Abelian Context

2011

It is known that monoidal functors between internal groupoids in the category Grp of groups constitute the bicategory of fractions of the 2-category Grpd(Grp) of internal groupoids, internal functors and internal natural transformations in Grp, with respect to weak equivalences (that is, internal functors which are internally fully faithful and essentially surjective on objects). Monoidal functors can be equivalently described by a kind of weak morphisms introduced by B. Noohi under the name of butterflies. In order to internalize monoidal functors in a wide context, we introduce the notion of internal butterflies between internal crossed modules in a semi-abelian category C, and we show th…

Discrete mathematicsPure mathematicsButterflyFunctorInternal groupoidWeak equivalenceGeneral MathematicsSemi-abelian categoryFunctor categoryContext (language use)Mathematics - Category TheoryBicategory of fractionBicategoryMathematics::Algebraic TopologyWeak equivalence18D05 18B40 18E10 18A40Surjective functionMorphismMathematics::Category TheoryFOS: MathematicsCategory Theory (math.CT)Abelian groupMathematics
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Quasisymmetric maps and string theory

1994

Heterotic string theoryPure mathematicsCompactification (physics)General MathematicsBosonic string theory30F60String field theory58B25Topological string theoryType I string theoryNon-critical string theory81T30String phenomenology32G15MathematicsMathematical physics
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Dual therapy with peg-interferon and ribavirin in thalassemia major patients with chronic HCV infection: Is there still an indication?

2016

Background: Iron overload and hepatitis C virus (HCV) infection together can lead to chronic liver damage in thalassemia major (TM) patients. Aims: We investigated viral, genetic, and disease factors influencing sustained virological response (SVR) after peg-interferon and ribavirin therapy in TM patients with HCV infection. Methods: We analyzed 230 TM patients with HCV infection (mean age 36.0 ± 6.3 years; 59.1% genotype 1; 32.2% genotype 2; 3.4% genotype 3; and 5.3% genotype 4; 28.7% carried CC allele of rs12979860 in IL28B locus; 79.6% had chronic hepatitis and 20.4% cirrhosis; 63.5% naive and 36.5% previously treated with interferon alone) treated in 14 Italian centers. Results: By mul…

Liver Cirrhosis0301 basic medicineMaleCirrhosisThalassemiaHepacivirusCirrhosis; Hepatitis C virus; IL28B polymorphisms; Iron liver overload; Peg-interferon; Ribavirin; Sustained virological response; Thalassemia major; Adult; Antiviral Agents; Drug Therapy Combination; Female; Heart Diseases; Hepacivirus; Hepatitis C Chronic; Humans; Interferon-alpha; Interleukins; Italy; Liver Cirrhosis; Logistic Models; Male; Multivariate Analysis; Polymorphism Single Nucleotide; Retrospective Studies; Ribavirin; Treatment Outcome; Viral Load; beta-Thalassemiamedicine.disease_causeGastroenterologychemistry.chemical_compound0302 clinical medicineRetrospective StudieThalassemia majorMultivariate AnalysiGastroenterologyBeta thalassemiaHepatitis CViral LoadSustained virological responseHeart DiseaseTreatment OutcomeItaly030211 gastroenterology & hepatologyDrug Therapy CombinationFemaleViral loadHumanAdultmedicine.medical_specialtyHeart DiseasesLogistic ModelHepatitis C virusLiver CirrhosiAlpha interferonIL28B polymorphismAntiviral AgentsPolymorphism Single Nucleotide03 medical and health sciencesIron liver overloadInternal medicineRibavirinmedicineHumansRetrospective StudiesAntiviral AgentCirrhosiHepaciviruPeg-interferonHepatologybusiness.industryInterleukinsRibavirinbeta-ThalassemiaInterferon-alphaHepatitis C ChronicInterleukinmedicine.diseaseLogistic Models030104 developmental biologychemistryMultivariate AnalysisImmunologyInterferonsbusinessHepatitis C viru
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Role of IL-28B and inosine triphosphatase polymorphisms in efficacy and safety of Peg-Interferon and ribavirin in chronic hepatitis C compensated cir…

2013

Genetic factors can influence the outcome of antiviral therapy in chronic hepatitis C (HCV). We evaluated the role of interleukin-28B single nucleotide polymorphisms (SNPs) and inosine triphosphatase (ITPA) gene variants in HCV cirrhosis treated with Peg-Interferon and ribavirin. A prospective cohort of 233 patients with compensated cirrhosis received 1-1.5 μg/kg/week of Peg-Interferon alpha-2b plus 1000-1200 mg/day of RBV for 48 weeks. A sustained virologic response (SVR) was achieved in 27% of patients. On multivariate logistic analysis, the absence of oesophageal varices (OR 3.64 CI 95% 1.27-10.44 P = 0.016), infection with genotype 2 or 3 (OR 4.06, CI 95% 1.08-15.26, P = 0.038), C/C all…

Liver CirrhosisMaleSettore MED/07 - Microbiologia E Microbiologia ClinicaAnemia HemolyticGenotypeHepacivirusInterferon alpha-2Esophageal and Gastric VaricesAntiviral AgentsPolymorphism Single NucleotidePolyethylene GlycolsSettore BIO/13 - Biologia ApplicataRibavirinHumanschronic hepatitis C cirrhosis IL-28B inosine triphosphatase sustained virologic responseProspective StudiesPyrophosphatasesGenetic Association StudiesAgedSettore MED/12 - GastroenterologiaDose-Response Relationship DrugInterleukinsInterferon-alphaSequence Analysis DNAHepatitis C ChronicMiddle AgedRecombinant ProteinsLogistic ModelsTreatment OutcomeMultivariate AnalysisDrug Therapy CombinationFemaleInterferonsJournal of viral hepatitis
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IL-33/ST2 pathway regulates neutrophil migration and predicts outcome in patients with severe alcoholic hepatitis.

2020

Background & Aims Severe alcoholic hepatitis (SAH) is associated with a high risk of infection. The IL-33/ST2 pathway is involved in sepsis control but data regarding its role in alcohol-related liver disease (ALD) are lacking. We aimed to characterize the role of IL-33/ST2 in the polymorphonuclear neutrophils (PMNs) of patients with ALD and SAH. Methods Serum and circulating neutrophils were collected from patients with SAH, alcoholic cirrhosis and healthy controls. We quantified IL-33/ST2 pathway activity and CXCR2 at baseline and after exposure to IL-33. We also determined the migration capacity of PMNs. Results The decoy receptor of IL-33 (soluble ST2 [sST2]) was increased in SAH vs. ci…

Male0301 basic medicineAlcoholic liver diseaseCirrhosisPolymorphonuclear neutrophilsNeutrophils[SDV.MHEP.PHY] Life Sciences [q-bio]/Human health and pathology/Tissues and Organs [q-bio.TO]ApoptosisGastroenterologyReceptors Interleukin-8BLiver disease0302 clinical medicineCell MovementLiver Cirrhosis AlcoholicProspective StudiesCXC chemokine receptorsReceptorCells CulturedMigrationMiddle AgedPrognosisRecombinant Proteins3. Good healthCirrhosisAlcoholic hepatitis;Cirrhosis;Infection;Interleukin-33;Migration;Polymorphonuclear neutrophilsFemale030211 gastroenterology & hepatologyAlcoholic hepatitisInfectionSignal TransductionAdultmedicine.medical_specialtyAlcoholic hepatitisSepsis03 medical and health sciencesInternal medicinemedicine[SDV.MHEP.PHY]Life Sciences [q-bio]/Human health and pathology/Tissues and Organs [q-bio.TO]Humanscardiovascular diseasesAgedHepatologyHepatitis Alcoholicbusiness.industrymedicine.diseaseInterleukin-33Interleukin-1 Receptor-Like 1 Proteinnervous system diseasesInterleukin 33030104 developmental biologyCase-Control StudiesbusinessFollow-Up Studies
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