553 research outputs found
Technical and systemic keys and context of Hispanic fortifications on Western Mediterranean coast
[EN] On recent years, we have developed two new ways of scientific approximation to the study of
fortifications: the technical analysis and the systemical analysis. Now, it is possible to recognize a
personality and a characteristic technical evolution of the Hispanic fortification departing from the works,
the debates, and the treatises generated since the end of 15th Century to the 18th Century. It is also possible
to recognize, since the first periods, a clear intention to understand the fortification as a territorial system
in which every single piece has its own mission and presents some specific characters that are not
understandable from the independent study of every fortification. The current presentations review the
technical and systemical keys that allow us to recognize and characterize the Hispanic fortification on the
Western Mediterranean Sea. Those keys allow us to surpass the excessive valuation given to the orthodox
following of the treatises and to recognize the value of technological landmark of many of the most
heterodoxical fortifications. Those keys also allow us to reinterpret our vision of the landscape value of
the fortification from new technical and systemic aspects.Cobos-Guerra, F. (2015). Technical and systemic keys and context of Hispanic fortifications on Western Mediterranean coast. En Defensive architecture of the mediterranean: XV to XVIII centuries. Vol. I. Editorial Universitat Politècnica de València. XIX-XXXIV. https://doi.org/10.4995/FORTMED2015.2015.1803OCSXIXXXXI
A factorization formula for some entropy ideals
The paper deals with the entropy ideals generated by the Lorentz- Marcinkiewicz spaces of the type λ ∞ (ϕ) where ϕ is a function parameter. The entropy ideal generated by λ ∞ (ϕ) is the set of all operators between Banach spaces whose sequence of the entropy numbers belongs to λ ∞ (ϕ). The entropy ideals play an important role in the characterization of the degree of compactness of weakly singular integral operators. As a continuation of F. Cobos' investigation of the entropy ideals of the type λ p (ϕ), the authors prove a factorization formula saying that the entropy ideal corresponding to the product of two function parameters is the product of the entropy ideals corresponding to the factors. The proof uses the interpolation with function parameters and as a by-product, the authors obtain informations on the behaviour of the entropy numbers under the interpolation
On Besov spaces of logarithmic smoothness and Lipschitz spaces
We compare Besov spaces B-p,q(0,b) with zero classical smoothness and logarithmic smoothness b defined by using the Fourier transform with the corresponding spaces:B-p,q(0,b) defined by means of the modulus of smoothness. In particular, we show that B-p,q(0,b+1/2) = B-2,2(0,b) for b > -1/2. We also determine the dual of In:B-p,q(0,b) with the help of logarithmic Lipschitz spaces Lip(p,q)((1,-alpha)) Finally we show embeddings between spaces Lip(p,q)((1,-alpha)) and B-p,q(1,b) which complement and improve embeddings established by Haroske (2000)
On a result of Peetre about interpolation of operator spaces
We establishin terpolation formulæ for operator spaces that are components of a given quasi-normed operator ideal. Sometimes we assume that one of the couples involved is quasi-linearizable, some other times we assume injectivity or surjectivity in the ideal. We also show the necessity of these suppositions
The equivalence theorem for logarithmic interpolation spaces in the quasi-Banach case
We study the description by means of the J-functional of logarithmic interpolation spaces (A0, A1) 1, q, A in the category of the p-normed quasi-Banach couples (0 < p ≤ 1). When (A0, A1) is a Banach couple, it is known that the description changes depending on the relationship between q and A. In our more general setting, the parameter p also has an important role as the results show
Logarithmic interpolation methods and measure of non-compactness
We derive interpolation formulae for the measure of non-compactness of operators interpolated by logarithmic methods with [θ] = 0; 1 between quasi-Banach spaces. Applications are given to operators between Lorentz-Zygmund spaces
Duality for logarithmic interpolation spaces when 0 < q < 1 and applications
We work with spaces (A0;A1)θ;q;A which are logarithmic perturbations of the real interpolation spaces. We determine the dual of (A0;A1)θ;q;A when0 < q < 1. As we show, if θ = 0 or 1 then the dual space depends on the relationship between q and A. Furthermore we apply the abstract results to compute the dual space of Besov spaces of logarithmic smoothness and the dual space of spaces of compact operators in a Hilbert space which are closeto the Macaev ideals
Compact embeddings of Brezis-Wainger type
Let Ω be a bounded domain in Rn and denote by idΩ the restriction operator from the Besov space B1+n/p pq (Rn) into the generalized Lipschitz space Lip(1,−α)(Ω). We study the sequence of entropy numbers of this operator and prove that, up to logarithmic factors, it behaves asymptotically like ek(idΩ) ∼ k−1/p if α > max (1 + 2/p −1/q, 1/p). Our estimates improve previous results by Edmunds and Haroske
On interpolation of the measure of noncompactness
We revised the known results on interpolation of the measure of noncompactness and we announce a new approach to establishing the interpolation formula for the real method
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