En la teoría de espacios normados sobre un cuerpo con valoración no arquimediana distinta de la trivial, han sido abordados los espacios dotados de un producto interno desde distintos puntos de vista en [4], [7], [8] y [9]; y en [1] se inicia su estudio axiomático a través de la comparación de los casos anteriores.
Pero el caso de que la valoración del cuerpo sea la trivial (que asocia a cada elemento no nulo el valor 1) sólo ha sido tratado en [6]. El objeto de este trabajo es encuadrar...
In the theory of nonarchimedean normed spaces over valued fields other than R or C, the property of spherical completeness is of utmost importance in several contexts, and it appears to play the role conventional completeness does in some topics of classical functional analysis. In this note we give various characterizations of spherical completeness for general ultrametric spaces, related to but different from the notions of pseudo-convergent sequence and pseudo-limit introduced by Ostrowski in...
We apply the Chebyshev coefficients λ and λ, recently introduced by the authors, to obtain some results related to certain geometric properties of Banach spaces. We prove that a real normed space E is an L-predual if and only if λ(E) = 1/2, and that if a (real or complex) normed space E is a P space, then λ(E) equals λ(K), where K is the ground field of E.
Download Results (CSV)