El espacio de Montel de las funciones vectoriales armónicas en un dominio.
In this paper we develop a duality theory of the closed graph theorem with weak continuity conditions, in order to obtain some permanence and maximality properties concerning the domain and range classes.
We give new necessary and sufficient conditions for an element of a C*-algebra to commute with its Moore-Penrose inverse. We then study conditions which ensure that this property is preserved under multiplication. As a special case of our results we recover a recent theorem of Hartwig and Katz on EP matrices.
This paper will give a brief survey of ideas related to 'elements of finite closed descent' in certain kinds of topological algebra.
In this note the well-posedness of the Dirichlet problem (1.2) below is proved in the class for all and, as a consequence, the Hölder regularity of the solution . is an elliptic second order operator with discontinuous coefficients and the lower order terms belong to suitable Lebesgue spaces.