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After a short biographical sketch, the author describes some aspects of Alexander Grothendieck's contributions to functional analysis. He focuses on the following topics: tensor products, the approximation property, nuclear and integral operator[...]texto impreso
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In this paper the authors extend the concept of almost convergence to vector-valued functions on a semigroup having a left invariant mean. They study the space of almost convergent functions and obtain characterization theorems similar to known [...]texto impreso
Bombal Gordón, Fernando ; Rodríguez Marín, Luis | Real Academia de Ciencias Exactas, Físicas y Naturales | 1979On considère un espace topologique muni aussi d'une bornolgie telle que tout point adhérent à un ensemble A?E soit limite d'une suite généralisée bornée de points de A. Cette structure est caractérisée par le fait que toute application de E dans[...]texto impreso
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Let $K$K be a compact Hausdorff space and $E$E, $F$F Banach spaces with $L(E,F)$L(E,F) the space of bounded linear operators from $E$E into $F$F. If $C(K,E)$C(K,E) is the space of all continuous functions from $K$K into $E$E equipped with the su[...]texto impreso
This paper is a survey of the results of Bombal and I. Villanueva Díez [Funct. Approx. Comment. Math. 26 (1998), 117–126; Bombal, D. Pérez-García and Villanueva Díez [Q. J. Math. 55 (2004), no. 4, 441–450; and Pérez-García and Villanueva Díez [A[...]texto impreso
The authors indicate some mistakes which appear in the article cited in the title. They correct Corollary 29, Proposition 30 and Theorem 31 with the additional condition which is quite exigent and difficult to apply: the restriction of the eleme[...]texto impreso
La frase cuadratura del círculo ha pasado al lenguaje coloquial como sinónimo de algo imposible de realizar. El primer intento conocido de obtener un cuadrado de área igual a la de un círculo dado (lo que se conoce por cuadrar el círculo) aparec[...]texto impreso
We prove that every countably additive polymeasure can be decomposed in a unique way as the sum of a "discrete" polymeasure plus a "continuous" polymeasure. This generalizes a previous result of Saeki.texto impreso
Let E be a complex Banach space and denote by H b (E) the space of all holomorphic functions f:E?C of bounded type, that is, bounded on bounded sets. It is known that f?H b (E) admits a factorization of the form f=g?S , with S a compact li[...]texto impreso
A Banach space operator is called a Dieudonné operator if it maps weakly Cauchy sequences to weakly convergent sequences. A space E is said to have property (D) if, whenever K is a compact Hausdorff space and T is an operator from C(K,E) int[...]texto impreso
