La imagen en el discurso multimodal cortazariano, una poética en movimiento

The selection and proposed cortazarian image in multimodal speech, a poetic moving as a doctoral thesis title, is the result of a process that forms several progressive stages. more than satisfy our curiosity and literary artistic concerns, the questions multiply increases our desire to bring more creative Cortazarian the colossus, that not only ruins a way of making literature , but in its revolutionary labyrinth gives a turn of the screw to the already tangled world of artistic writing , breaking in 1967 with the first of four hybrids books, La vuelta al día en ochenta mundos through which converts the traditional plastic unitextual and unimodal space in a palempsesto inexhaustible generator senses and meanings. Far from appeasing the wrath of conservative critics, caused by his narrative masterpiece, Hopscotch (1963), sparked the debate to denounce the regression of the classic molds of writing, proposing the imagination as the setting for creative freedom, it is not as arbitrary and nonsense, but as a process of higher state of consciousness in which it operates an underlying logic. Hence, our objective is to crawl into the underworld and plastics other multisígnicas border spaces, fleeting and ephemeral alliances that relate not just as complementary and similar texts which may be the same speech and can transmit the same, but quite the contrary, the oft-repeated notion of analogy is the first victim, fortunately, this kind of creative-artistic operations that raise the creative act to a sublime state capable of converting the inexhaustible multitextuales constellations in different ways: opposition, confrontation, invasion, dialogue, shadow, duplication, theft, etc. However this multiple transgression pushed to the limit by Julio Cortazar and his friend Julio Silva through four books proposed for analysis often does not translate into jobs and research in literature departments of the universities of the world, nor the critics are echoes the striking abundance and clarity of expression multimodal phenomenon as is the case with other works of Cortazar unimodal type, which makes it impassable fences mysterious worlds...

Characterizations of logarithmic Besov spaces in terms of differences, Fourier-analytical decompositions, wavelets and semi-groups.

We work with Besov spaces Bp,q0,b defined by means of differences, with zero classical smoothness and logarithmic smoothness with exponent b. We characterize Bp,q0,b by means of Fourier-analytical decompositions, wavelets and semi-groups. We also compare those results with the well-known characterizations for classical Besov spaces Bp,qs.

On paracompactness, completeness and boundedness in uniform spaces

Recently two new types of completeness in metric spaces, called Bourbaki-completeness and cofinal Bourbaki-completeness, have been introduced in [7]. The purpose of this note is to analyze these completeness properties in the general context of uniform spaces. More precisely, we are interested in how they are related with uniform paracompactness properties, as well as with some kind of uniform boundedness.

Two classes of metric spaces

The class of metric spaces (X,d) known as small-determined spaces, introduced by Garrido and Jaramillo, are properly defined by means of some type of real-valued Lipschitz functions on X. On the other hand, B-simple metric spaces introduced by Hejcman are defined in terms of some kind of bornologies of bounded subsets of X. In this note we present a common framework where both classes of metric spaces can be studied which allows us to see not only the relationships between them but also to obtain new internal characterizations of these metric properties.

On the nullstellensätze for stein spaces and C-analytic sets.

In this work we prove the real Nullstellensatz for the ring O(X) of analytic functions on a C-analytic set X ⊂ Rn in terms of the saturation of Łojasiewicz’s radical in O(X): The ideal I(Ƶ(a)) of the zero-set Ƶ(a) of an ideal a of O(X) coincides with the saturation (Formula presented) of Łojasiewicz’s radical (Formula presented). If Ƶ(a) has ‘good properties’ concerning Hilbert’s 17th Problem, then I(Ƶ(a)) = (Formula presented) where (Formula presented) stands for the real radical of a. The same holds if we replace (Formula presented) with the real-analytic radical (Formula presented) of a, which is a natural generalization of the real radical ideal in the C-analytic setting. We revisit the classical results concerning (Hilbert’s) Nullstellensatz in the framework of (complex) Stein spaces. Let a be a saturated ideal of O(Rn) and YRn the germ of the support of the coherent sheaf that extends aORn to a suitable complex open neighborhood of Rn. We study the relationship between a normal primary decomposition of a and the decomposition of YRn as the union of its irreducible components. If a:= p is prime, then I(Ƶ(p)) = p if and only if the (complex) dimension of YRn coincides with the (real) dimension of Ƶ(p).

CB-norm estimates for maps between noncommutative Lp-spaces and quantum channel theory.

In the first part of this work, we show how certain techniques from quantum information theory can be used in order to obtain very sharp embeddings between noncommutative Lp-spaces. Then, we use these estimates to study the classical capacity with restricted assisted entanglement of the quantum erasure channel and the quantum depolarizing channel. In particular, we exactly compute the capacity of the first one and we show that certain nonmultiplicative results hold for the second one.