Search results for "Bilin"
showing 10 items of 377 documents
On the Bishop–Phelps–Bollobás theorem for multilinear mappings
2017
Abstract We study the Bishop–Phelps–Bollobas property and the Bishop–Phelps–Bollobas property for numerical radius. Our main aim is to extend some known results about norm or numerical radius attaining operators to multilinear and polynomial cases. We characterize the pair ( l 1 ( X ) , Y ) to have the BPBp for bilinear forms and prove that on L 1 ( μ ) the numerical radius and the norm of a multilinear mapping are the same. We also show that L 1 ( μ ) fails the BPBp-nu for multilinear mappings although L 1 ( μ ) satisfies it in the operator case for every measure μ.
Polynomial identities for the Jordan algebra of a degenerate symmetric bilinear form
2013
Let J(n) be the Jordan algebra of a degenerate symmetric bilinear form. In the first section we classify all possible G-gradings on J(n) where G is any group, while in the second part we restrict our attention to a degenerate symmetric bilinear form of rank n - 1, where n is the dimension of the vector space V defining J(n). We prove that in this case the algebra J(n) is PI-equivalent to the Jordan algebra of a nondegenerate bilinear form.
Convolution of three functions by means of bilinear maps and applications
1999
When dealing with spaces of vector-valued analytic functions there is a natural way to understand multipliers between them. If X and Y are Banach spaces and L(X,Y ) stands for the space of linear and continuous operators we may consider the convolution of L(X,Y )-valued analytic functions, say F (z) = ∑ n=0∞ Tnz , and X-valued polynomials, say f(z) = ∑m n=0 xnz , to get the Y -valued function F ∗ f(z) = ∑ Tn(xn)z. The second author considered such a definition and studied multipliers between H(X) and BMOA(Y ) in [5]. When the functions take values in a Banach algebra A then the natural extension of multiplier is simply that if f(z) = ∑ anz n and g(z) = ∑ bnz , then f ∗ g(z) = ∑ an.bnz n whe…
Approximation of Elliptic Hemivariational Inequalities
1999
From the previous chapter we know that there exist many important problems in mechanics in which constitutive laws are expressed by means of nonmonotone, possibly multivalued relations (nonmonotone multivalued stress-strain or reaction-displacement relations,e.g). The resulting mathematical model leads to an inclusion type problem involving multivalued nonmonotone mappings or to a substationary type problem for a nonsmooth, nonconvex superpotential expressed in terms of calculus of variation. It is the aim of this chapter to give a detailed study of a discretization of such a type of problems including the convergence analysis. Here we follow closely Miettinen and Haslinger, 1995, Miettinen…
Bilinguisme familial et acquisitions scolaires. Le cas des départements d'outremer français (DOM)
2007
07075 - Actes en ligne à l'adresse : http://www.congresintaref.org/index.php?cont_id=8&lang=fr; International audience; L'objectif de l'étude présentée ici est d'étudier quel peut être l'effet d'un bilinguisme familial sur le développement des acquisitions scolaires. Si certains travaux en psycholinguistique tendent à en révéler le rôle plutôt positif, la représentation commune qui prévaut dans le contexte particuliers des DOM français est plutôt défavorable. Un suivi longitudinal d'un échantillon d'élèves martiniquais de la GSM au CP a permis successivement d'évaluer les compétences langagières des élèves dans leurs deux langues et d'en déterminer l'effet sur leurs compétences en lecture. …
The Integration of Young Third-country Nationals into Educational Setting of Latvia
2015
<p>The integration of children of Third-country nationals into the society and labour market is one of the hot issues in Latvian education, therefore it is important to summarize and spread the professional experience of teachers working with these children.<br />The education is the main tool to turn them into creative and successful members of Latvian society. In other words, migration can be useful to both migrants and the host country.<br />There is an extremely high demand for specialists capable of working with migrants' children of different ethnicities, mother tongues, cultural backgrounds as well as knowledge levels that may be challenging because of a mismatch of…
Dialektmerkmale des Deutschen in den sprachbiographischen Interviews der bilingualen Oberschlesier
2022
The article is based on language biographies which come from the interviews conducted as part of the German-Polish project LangGener with native inhabitants of the former German territories of today’s Poland. Out of 124 recordings, 20 linguistic biographical interviews with respondents from Upper Silesia were subjected to analysis where special attention was paid to the features of Silesian German dialects occurring in them. Even though the Silesian linguistic landscape is now considered by researchers to be a historical object of studies due to the shifting of borders after World War II and the accompanying population exchange, the article shows that the linguistic material currently obtai…
Faces in the looking glass: EFL and CLIL-students as English speakers
2008
Tämän laadullisen proseminaari-tutkielman tarkoituksena oli tutkia ja vertailla lukion kolmasluokkalaisten, englantia vieraana kielenä opiskelevien (EFL) sekä vieraskielistä opetusta (CLIL) saavien opiskelijoiden, kokemuksia ja näkemyksiä itsestään englannin kielen puhujina. Tutkimukseen osallistui kaksi EFL-opiskelijaa ja kaksi CLIL-opiskelijaa, joita kutakin haastateltiin avoimien, opiskelijoiden käsityksiä kartoittavien kysymysten avulla. Haastattelut toteutettiin suomen kielellä ja nauhoitettiin analyysia varten. Analyysi- ja käsittelyosuudessa tarkasteltiin vastauksissa esille nousseita teemoja, joita olivat yleiskäsitys omasta suullisesta englannin kielen taidosta, kyky ilmaista itseä…
Características del Aprendizaje Integrado de Contenidos de Educación Física y Lengua Extranjera
2016
El aprendizaje de inglés se ha convertido en los últimos tiempos en uno de los principales objetivos del sistema educativo, y es clara la propuesta de que la adquisición de esta lengua se lleve a cabo a través de contenidos. La Educación Física (EF), gracias a sus características, parece una de las áreas en las que se apuesta más fuerte por la utilización del inglés como lengua vehicular. Sin embargo, para desarrollar una práctica óptima utilizando esta lengua como vehículo comunicativo, conviene atender tanto a factores propios del aprendizaje de lenguas, como a las peculiaridades de la Educación Física. El presente artículo analiza esas particularidades ligándolas con los aspectos clave d…
Small-time bilinear control of Schrödinger equations with application to rotating linear molecules
2023
In [14] Duca and Nersesyan proved a small-time controllability property of nonlinear Schrödinger equations on a d-dimensional torus $\mathbb{T}^d$. In this paper we study a similar property, in the linear setting, starting from a closed Riemannian manifold. We then focus on the 2-dimensional sphere $S^2$, which models the bilinear control of a rotating linear top: as a corollary, we obtain the approximate controllability in arbitrarily small times among particular eigenfunctions of the Laplacian of $S^2$.