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showing 10 items of 2320 documents
MR3038546, Brešar, Matej; Klep, Igor A local-global principle for linear dependence of noncommutative polynomials. Israel J. Math. 193 (2013), no. 1,…
2014
Let F be a eld of characteristic zero and FhXi the free associative algebra on X = fX1;X2; : : : g over F; i.e., the algebra of polynomials in the non-commuting variables Xi 2 X. A set of polynomials in FhXi is called locally linearly dependent if their evaluations at tuples of matrices are always linearly dependent. In [Integral Equations Operator Theory 46 (2003), no. 4, 399{454; MR1997979 (2004f:90102)], J. F. Camino et al., in the setting of free analysis, motivated by systems engineering, proved that a nite locally linearly dependent set of polynomials is linearly dependent. In this paper the authors give an alternative algebraic proof of this result based on the theory of polynomial i…
Sign-preserving solutions for a class of asymptotically linear systems of second-order ordinary differential equations
2022
We study multiplicity of solutions to an asymptotically linear Dirichlet problem associated with a planar system of second order ordinary differential equations. The existence of two sign-preserving component-wise solutions is guaranteed when the Morse indexes of the linearizations at zero and at infinity do not coincide, and one of the asymptotic problems has zero-index. The proof is developed in the framework of topological and shooting methods and it is based on a detailed analysis and characterization of the phase angles in a two-dimensional setting.
Order boundedness and spectrum in locally convex quasi *-algebras
2021
After a quick sketch of the basic aspects of locally convex quasi *-algebras, we focus on order bounded elements and use them to analyze some spectral properties, trying to generalize the approach already studied in the Banach case.
Generalized (varphi,psi)-weak contractions involving (f,g)-reciprocally continuous maps in fuzzy metric spaces
2013
We introduce the notion of (f,g)-reciprocal continuity in fuzzy metric spaces and prove a common fixed point theorem for a pair of sub-compatible maps by employing a generalized (varphi,psi)-weak contraction. As an application of our result, we prove a theorem for a (varphi,psi)-weak cyclic contraction in fuzzy metric spaces.
Denjoy and P-path integrals on compact groups in an inversion formula for multiplicative transforms
2009
Abstract Denjoy and P-path Kurzweil-Henstock type integrals are defined on compact subsets of some locally compact zero-dimensional abelian groups. Those integrals are applied to obtain an inversion formula for the multiplicative integral transform.
A fixed point theorem for uniformly locally contractive mappings in a C-chainable cone rectangular metric space
2011
Recently, Azam, Arshad and Beg [ Banach contraction principle on cone rectangular metric spaces, Appl. Anal. Discrete Math. 2009] introduced the notion of cone rectangular metric spaces by replacing the triangular inequality of a cone metric space by a rectangular inequality. In this paper, we introduce the notion of c-chainable cone rectangular metric space and we establish a fixed point theorem for uniformly locally contractive mappings in such spaces. An example is given to illustrate our obtained result.
Locally Convex Quasi *-Algebras and their Representations
2020
This book is a review of the work the authors have done in the past 20 years on the theory of locally convex quasi *-algebras
Organismi geneticamente modificati: definizioni e finalità.
2013
Article 2 of the European Directive 2011/18/EC defines a genetically modified organism (GMO) a san organism in which the genetic material has been altered in a way that does not occuirr naturally by inserting DNA fragments from one organism's gene into the chromosomes of another, changing its genetic expression. In the field of animal and plants biotechnology there are different application areas of genetic engineering such as improving the quantity and quality of argicultural production, pharmaceutical production in more sustainable ways or applications in environmental field.
Intra-hospital Transsport of Crititically Ill Patients: Incidence of Adverse Events in One University Hospital
2010
DESCRIZIONE DI UN CASO DI LESIONE REVERSIBILE DELLO SPLENIO DEL CORPO CALLOSO IN PAZIENTE CON MONONUCLEOSI INFETTIVA DA COINFEZIONE EPSTEIN-BARR VIRU…
2013
SCOPO Presentiamo un caso di encefalite virale con lesione reversibile dello splenio del corpo calloso (SCC) in un ragazzo di 16 anni con mononucleosi infettiva da coinfezione Epstein-Barr Virus (EBV) e Citomegalovirus (CMV). MATERIALI E METODI Il paziente, a causa della comparsa improvvisa di stato confusionale, irrigidimento e movimenti involontari alternati a tremori in corso di mononucleosi infettiva, giungeva in PS, dove eseguiva una TC encefalo (Siemens SOMATOM Definition AS+ - 128 strati) in condizioni di base ed in tecnica sequenziale, che non evidenziava reperti significativi. Veniva quindi ricoverato con il sospetto di encefalite virale e, il giorno successivo, veniva sottoposto a…