For an increasing sequence (ωn) of algebra weights on R + we study various properties of the Fréchet algebra A(ω) = ⋂ n L (ωn) obtained as the intersection of the weighted Banach algebras L(ωn). We show that every endomorphism of A(ω) is standard, if for all n ∈ N there exists m ∈ N such that ωm(t)/ωn(t) → ∞ as t → ∞. Moreover, we characterise the continuous derivations on this algebra: If for ...

Some recent work in Fréchet geometry is briefly reviewed. In particular an earlier result on the structure of second tangent bundles in the finite dimensional case was extended to infinite dimensional Banach manifolds and Fréchet manifolds that could be represented as projective limits of Banach manifolds. This led to further results concerning the characterization of second tangent bundles and...

Many familiar and useful spaces of continuous or differentiable functions are Hilbert or Banach spaces, with pleasant completeness properties, but many are not. Some are Fréchet spaces, thus still complete, but lacking some of the conveniences of Banach spaces. Some other important spaces are not Fréchet, either. Still, some of these important spaces are colimits of Fréchet spaces (or of Banach...

We introduce the discrete Fréchet gap and its variants as an alternative measure of similarity between polygonal curves. We believe that for some applications the new measure (and its variants) may better reflect our intuitive notion of similarity than the discrete Fréchet distance (and its variants), since the latter measure is indifferent to (matched) pairs of points that are relatively close...

Although the GEV distribution is the most used generalization of the Fréchet model, other distributions has been proposed in the literature. De Gusmão [2] proposed a three parameter generalized inverse Weibull distribution in which includes the Fréchet distribution. Krishna et al. [3] proposed the MarshallOlkin Fréchet distribution. Barreto-Souza et al. [4] discussed some results for beta Fréch...

We present the first results showing that the Fréchet distance between non-flat surfaces can be approximated within a constant factor in polynomial time. Computing the Fréchet distance for surfaces is a surprisingly hard problem. It is not known whether it is computable, it has been shown to be NP-hard, and the only known algorithm computes the Fréchet distance for flat surfaces (Buchin et al.)...

This paper reviews Fréchet sensitivity analysis for partial differential equations with variations in distributed parameters. The Fréchet derivative provides a linear map between parametric variations and the linearized response of the solution. We propose a methodology based on representations of the Fréchet derivative operator to find those variations that lead to the largest changes to the s...

Computing Fréchet distance between two curves takes roughly quadratic time. In this paper, we show that for curves with long edges the Fréchet distance computations become easier. Let P and Q be two polygonal curves in R with n and m vertices, respectively. We prove four main results for the case when all edges of both curves are long compared to the Fréchet distance between them: (1) a linear-...

ABSTRACT Nadarajah and Gupta (2004) introduced the beta Fréchet (BF) distribution, which is a generalization of the exponentiated Fréchet (EF) and Fréchet distributions, and obtained the probability density and cumulative distribution functions. However, they do not investigated its moments and the order statistics. In this paper the BF density function and the density function of the order sta...

We present the first results showing that the Fréchet distance between non-flat surfaces can be approximated within a constant factor in polynomial time. Computing the Fréchet distance for surfaces is a surprisingly hard problem. It is not known whether it is computable, it has been shown to be NP-hard, and the only known algorithm computes the Fréchet distance for flat surfaces (Buchin et al.)...