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Denote by C0(E) the linear space of all sequences in E which converge to zero in E endowed with its natural topology. A. Marquina and J. M. Sanz Serna [same journal 31 (1978/79), 589–596; MR0531574 (80i:46010)] gave necessary and sufficient cond[...]texto impreso
A convergence structure ? on a set G is a set of pairs (F,x) consisting of a filter F on X and an element x?X satisfying a few simple axioms expressing the idea that F converges to x. A set with a convergence structure is a convergence space. It[...]texto impreso
The boundedness and compactness of weighted composition operators on the Hardy space H(2) of the unit disc is analysed. Particular reference is made to the case when the self-map of the disc is an inner function. Schatten-class membership is als[...]texto impreso
J.-F. Colombeau and S. Ponte [same journal 5 (1982), no. 2, 123–135;] defined and studied a dense linear subspace E(E) (with a stronger complete locally convex topology) of the space E(E) of all (Silva) C^?-functions on a real nuclear bornologic[...]texto impreso
In this paper we find an alternative description of the Bochnak complexification of a real Hilbert space. This new interpretation of the Bochnak norm lets us give a characterization of a real inner product space.texto impreso
In this work the authors classify the filiform Lie algebras (i.e., Lie algebras that are nilpotent with an adjoint derivation of maximal order) of dimension m=8 over the field of complex numbers. These algebras, introduced by M. Vergne in her t[...]texto impreso
The authors give a complete list of the 7-dimensional complex nilpotent Lie algebras. This classification is obtained by using an invariant of nilpotent Lie algebras, called a characteristic sequence and defined by the maximum of the Segre symbo[...]texto impreso
A characterization of uniform continuity for maps between unit balls of real Banach spaces is given in terms of universal properties. Also, it is shown that the classes of compact and weakly compact composition operators induced by such maps agree.texto impreso
We first study the reflexivity of the space P(E-m,F) of continuous m-homogeneous polynomials between Banach spaces E and F. Then, in a more general way, we obtain conditions under which the spaces P(E-m,F)(n) and P(E-m",F") are canonically isomo[...]texto impreso
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We prove that, if a smooth complex projective surface S subset of P-N is k-regular, then its k-th order dual variety has the expected dimension, except if S is the k-th Veronese surface. This answers positively a conjecture stated in a previous [...]texto impreso
Bujalance, E. ; Etayo Gordejuela, J. Javier ; Gamboa, J. M. ; Martens, Gerriet | Birkhäuser Verlag | 1989Let K be a compact Klein surface of algebraic genus $g\ge 2,$ which is not a classical Riemann surface. The authors show that if K admits an automorphism of order $N> 2,$ then it must have algebraic genus at least $(p\sb 1-1)N/p\sb 1$ if N is pr[...]texto impreso
We give some new examples of bounded multilinear forms on th Hilbert spaces 2 and L2(0,?). We characterize those which are compact or Hilbert-Schmidt. In particular, we study m-linear forms (m ? 3) on 2 which can be regarded as the multilinear[...]texto impreso
For a class of Banach spaces E including separable spaces and realcompact superreflexive spaces, it is shown in this note that every nonzero scalar homomorphism on the algebra Cm() of all Cm- functions defined on an open subset of E is given by[...]
