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New applications of Pták's extension theorem to weak compactness

Pedro José Paúl — 1989

Czechoslovak Mathematical Journal

Sobre el test de máxima potencia para hipótesis nula simple contra hipótesis alternativa simple.

Pedro José Paúl Escolano — 1984

Trabajos de Estadística e Investigación Operativa

El propósito de este trabajo es dar una construcción explícita del test de máxima potencia para un constraste de hipótesis paramétrico en el que tanto la hipótesis nula como la hipótesis alternativa son simples, utilizando para ello técnicas del Análisis Funcional y de Programación Matemática.

On Pták’s generalization of Hankel operators

Carmen H. Mancera; Pedro José Paúl — 2001

Czechoslovak Mathematical Journal

In 1997 Pták defined generalized Hankel operators as follows: Given two contractions $T_{1} \in ℬ (ℋ_{1})$ and $T_{2} \in ℬ (ℋ_{2})$ , an operator $X ℋ_{1} \to ℋ_{2}$ is said to be a generalized Hankel operator if $T_{2} X = X T_{1}^{*}$ and $X$ satisfies a boundedness condition that depends on the unitary parts of the minimal isometric dilations of $T_{1}$ and $T_{2}$ . This approach, call it (P), contrasts with a previous one developed by Pták and Vrbová in 1988, call it (PV), based on the existence of a previously defined generalized Toeplitz operator. There seemed to be a strong but somewhat...