Search results for "Absolute"
showing 10 items of 518 documents
A Lebesgue-type decomposition for non-positive sesquilinear forms
2018
A Lebesgue-type decomposition of a (non necessarily non-negative) sesquilinear form with respect to a non-negative one is studied. This decomposition consists of a sum of three parts: two are dominated by an absolutely continuous form and a singular non-negative one, respectively, and the latter is majorized by the product of an absolutely continuous and a singular non-negative forms. The Lebesgue decomposition of a complex measure is given as application.
The absolute center of a unicyclic network
1989
Abstract A unicyclic network is one generalization of a tree network. In this paper we examine the problem of finding an absolute center of a unicyclic network. We show that this problem can be solved in linear time with respect to the number of vertices in the network.
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.
Fixed point theory for almost convex functions
1998
Traditionally, metric fixed point theory has sought classes of spaces in which a given type of mapping (nonexpansive, assymptotically or generalized nonexpansive, uniformly Lipschitz, etc.) from a nonempty weakly compact convex set into itself always has a fixed point. In some situations the class of space is determined by the application while there is some degree of freedom in constructing the map to be used. With this in mind we seek to relax the conditions on the space by considering more restrictive types of mappings.
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
Riemann type integrals for functions taking values in a locally convex space
2006
The McShane and Kurzweil-Henstock integrals for functions taking values in a locally convex space are defined and the relations with other integrals are studied. A characterization of locally convex spaces in which Henstock Lemma holds is given.
Three viewpoints on the integral geometry of foliations
1999
We deal with three different problems of the multidimensional integral geometry of foliations. First, we establish asymptotic formulas for integrals of powers of curvature of foliations obtained by intersecting a foliation by affine planes. Then we prove an integral formula for surfaces of contact of an affine hyperplane with a foliation. Finally, we obtain a conformally invariant integral-geometric formula for a foliation in three-dimensional space.
An upper bound for nonlinear eigenvalues on convex domains by means of the isoperimetric deficit
2010
We prove an upper bound for the first Dirichlet eigenvalue of the p-Laplacian operator on convex domains. The result implies a sharp inequality where, for any convex set, the Faber-Krahn deficit is dominated by the isoperimetric deficit.
The “corporealization” of the nation: notions of the unclean and viscosity in the nationalist discourse of Spanish fascism
2017
ABSTRACTThe present article focuses on the particular case of the nationalist discourse of Spanish fascism during the Spanish Civil War and the immediate postwar period (1936–1941), in order to explore one specific aspect of it: the characterization of the enemy Republican nation that was to be fought against as unclean and viscous or sticky. The aim here is to analyse what meanings these references possessed and what they can tell us about the general processes of construction of discourses of identity. For this purpose, use is made of certain propositions developed by sociology and anthropology, as a basis upon which to develop the hypothesis that the use of the aforementioned references …
Insults, humour and freedom of speech
2016
In this article we argue that freedom of speech should be understood as a social freedom. In the public discussion after the Charlie Hebdo attacks, it has often been understood as an absolute right to say anything – to offend, to make a fool of others and of oneself, and to express any opinion regardless of the consequences. We challenge this view and propose that advocating freedom of speech without understanding its social foundations is misleading and counterproductive. Based on the critical social theories of Erich Fromm, Charles Taylor and Axel Honneth, we show that there is an alternative tradition in which freedom is fundamentally rooted in social relations and therefore requires re…