52,324 research outputs found
Optimal approximate fixed point results in locally convex spaces
Let be a convex subset of a locally convex space. We provide optimal
approximate fixed point results for sequentially continuous maps . First we prove that if is totally bounded, then it has an
approximate fixed point net. Next, it is shown that if is bounded but not
totally bounded, then there is a uniformly continuous map
without approximate fixed point nets. We also exhibit an example of a
sequentially continuous map defined on a compact convex set with no approximate
fixed point sequence. In contrast, it is observed that every affine
(not-necessarily continuous) self-mapping a bounded convex subset of a
topological vector space has an approximate fixed point sequence. Moreover, it
is constructed a affine sequentially continuous map from a compact convex set
into itself without fixed points.Comment: 12 page
Synthesis of Au-Cu/SBA(Ti) catalysts for photocatalytic applications
In this work, it has been synthesized several Au and Au-Cu alloy photocatalysts supported on two different mesoporous supports: a non-commercial SBA-15 and a post-synthesis TiO2 modified SBA-15 (TiSBA-15), with which a high dispersion of TiO2 species have been achieved maintaining the SBA-15 structure. In addition, it has also been obtained highly dispersed Au nanoparticles confined in SBA-15 pore channels. The photocatalysts have been preliminary tested in the preferential CO oxidation in a H2-rich stream (CO-PROX) at room temperature and atmospheric pressure under simulated solar light irradiation. In spite of the very low gold and copper loading (1.5 wt% and 0.5wt% respectively), the catalysts resulted active and selective in the low temperature photo-CO-PROX.Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tech
Neutral minima in two-Higgs doublet models
We study the neutral minima of two-Higgs doublet models, showing that these
potentials can have at least two such minima with different depths. We analyse
the phenomenology of these minima for the several types of two-Higgs doublet
potentials, where CP is explicitly broken, spontaneously broken or preserved.
We discover that it is possible to have a neutral minimum in these potentials
where the masses of the known particles have their standard values, with
another deeper minimum where those same particles acquire different masses.Comment: 20 pages, 3 figure
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