Miguel Caldas Cueva » 1987-1990

008. A note on holomorphically sequentially infrabarrelled locally convex spaces

caldas — Wed, 17 Feb 2010 21:54:08 +0000

Math Journal: Ann. Soc. Sci. de Bruxelles, Belgium, ISSN 0037-959X, 104 (1990), 53-58.
Authors: Caldas., M.

Abstract
The main goal of the article is to prove that (gDF)-locally convex spaces are holomorphically sequentially infrabarrelled locally convex spaces, a holomorphic version of a classical result of the linear theory of locally convex spaces.

007. On holomorphically sequentially barrelled and holomorphically sequentially infrabarrelled spaces

caldas — Wed, 17 Feb 2010 21:51:37 +0000

Math Journal: Bull. Inst. of Math. Acad. Sinica., Republic of China, 18 (1990) , 67-75.
Authors: Caldas, M.

Abstract
In this note, we introduce the classes of holomorphically sequentially barrelled and holomorphically sequentially infrabarrelled spaces, that are more restricted than the corresponding linear ones defined by T. Husain. Their relation with other holomorphically significant classes of locally convex spaces are established and separating examples are given.

006. Una generalización no-arquimedeana del teorema de Mahowald para espacios d-tonelados

caldas — Wed, 17 Feb 2010 21:47:44 +0000

Math Journal: Atas do 1 º Colóquio Bolivariano de Matematica, Quito- Equador ,(1990), 145-152.
Authors: Caldas, M.

Abstracto
El Teorema de Mahowald del gráfico cerrado determina las características mínimas que debe tener un un espacio E, localmente convexo Hausdorff, para que una aplicacion lineal f de E en F , donde F es un espacio de Banach, con gráfico cerrado sea continua. En 1961 Mahowald muestra que E debe ser necesariamente tonelado. Por otra parte la noción de espacio tonelado ha sido extendida introduciéndose los espacios d-tonelados. El objetivo principal de éste trabajo es demostrar una generalización del teorema de Mahowald en el contexto no-arquimediano para espacios d-tonelados.

005. On holomorphically semibornological locally convex spaces

caldas — Wed, 17 Feb 2010 21:43:03 +0000

Math Journal: Comptes Rendus de L’Academie Bulgare de Sciences, Bulgaria, ISSN 0861-1459 . Vol. 42 (1989), 21-23.
Authors: Caldas, M.

Abstract
The classification of locally convex spaces by using holomorphic functions is relatively new. The purpouse of this article is to develop an holomorphic version of semibornological locally convex spaces, analogous to the classical linear theory.Their relation with other holomorphically significant classes of locally convex spaces are established.

004. A note on polynomials versions

caldas — Wed, 17 Feb 2010 21:40:20 +0000

Math Journal: Portugaliae Math., Portugal, Vol. 45, Fasc. 4 (1988), 411-415.
Authors: Caldas, M.

Abstract
In the linear theory of locally convex spaces , it is known that if F be a metrizable topological space, E a T.V.S. which is metrizable and d-barrelled, G a locally convex space. Then every separately equicontinuous subset H of mappings of E x F in G is equicontinuous.The purpouse of this note is to prove the corresponding results in the polynomial context.

003. On polynomially semibornological locally convex spaces

caldas — Wed, 17 Feb 2010 21:38:39 +0000

Math Journal: Portugaliae Math., Portugal, Vol. 45 Fasc. 3 (1988), 245-250.
Authors: Caldas, M.

Abstract
The purpouse of this article is to develop a polynomial version of semibornological locally convex spaces,analogous to the classical linear theory and to the holomorphic theory proposed by L. Nachbin and Aragona.

002. Resultados recientes de espacios polinomiales de tipo numerable

caldas — Wed, 17 Feb 2010 21:28:01 +0000

Math Journal: Rev. Colomb. de Mat., Colombia, Vol. XXII (1988), 13-28.
Authors: Caldas, M.

Abstracto
En este trabajo profundizamos el estudio de la clasificaciÃ³n de los espacios E localmente convexos, por medio de las propiedades del espacio de los polinomios m-homogeneos continuos de E en F, donde F es un espacio localmente convexo.

Abstract
The purpouse of this article is to present some recent developments about polynomial conditions of denumerable type barrelledness in locally convex spaces. The relation between the class of denumerable type barrelled polynomials and other significant classes of polynomials in locally convex spaces is stablished.

001. Condições polinomiais de tonelação de tipo numerável

caldas — Wed, 17 Feb 2010 21:13:15 +0000

Math Journal: Atas do 5º Colóquio Soc. Mat. Peruana, Peru, (1987), 96-113.
Authors: Caldas, M.

Abstrato
O propósito deste trabalho é continuar o estudo da teoria polinomial de espaços localmente convexos. Aqui definimos novas classes de funções polinomiais de tipo numerável.

Abstract
The purpouse of this work is continue the study of the polynomial theory of locally convex spaces.Here we introduce new classes of functions polinomials of denumerable type.