Convolution operators on the space of holomorphic germs of nuclear type
Azevedo Biagioni, H. (1983/1984)
Portugaliae mathematica
Fernando Blasco (2000)
Extracta Mathematicae
The problem of finding complemented copies of lp in another space is a classical problem in Functional Analysis and has been studied from different points of view in the literature. Here we pay attention to complementation of lp in an n-fold tensor product of lq spaces because we were lead to that result in the study of Grothendieck's Problème des topologies as we shall comment later.
Mário C. Matos (1980)
Mathematische Zeitschrift
García, Domingo (1988)
Portugaliae mathematica
Dietmar Vogt, Reinhold Meise (1983)
Mathematische Zeitschrift
Lee, Han Ju (2009)
Journal of Inequalities and Applications [electronic only]
P. Carranza Guijarro (1987)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
Sten Bjon (1987)
Mathematica Scandinavica
Carlo Petronio (1992)
Rendiconti del Seminario Matematico della Università di Padova
Christopher Boyd (1993)
Revista Matemática de la Universidad Complutense de Madrid
Budzyńska, Monika (2003)
Abstract and Applied Analysis
Jaydeb Sarkar, Amol Sasane, Brett D. Wick (2013)
Studia Mathematica
In this note we establish a vector-valued version of Beurling’s theorem (the Lax-Halmos theorem) for the polydisc. As an application of the main result, we provide necessary and sufficient conditions for the “weak” completion problem in .
Ignacio Zalduendo (1993)
Revista colombiana de matematicas
Choi, Yun Sung (1990)
Portugaliae mathematica
Mujica, Jorge (1993)
Portugaliae mathematica
Mario C. Matos, Leopoldo Nachbin (1981)
Compositio Mathematica
R. Meise, D. Vogt, M. Börgens (1981)
Journal für die reine und angewandte Mathematik
José M. Ansemil, Jerónimo López-Salazar, Socorro Ponte (2011)
Studia Mathematica
Let X be an infinite-dimensional complex Banach space. Very recently, several results on the existence of entire functions on X bounded on a given ball B₁ ⊂ X and unbounded on another given ball B₂ ⊂ X have been obtained. In this paper we consider the problem of finding entire functions which are uniformly bounded on a collection of balls and unbounded on the balls of some other collection.
Pombo, Dinamérico P. jr. (1983/1984)
Portugaliae mathematica
Matos, Mário C. (1990)
Portugaliae mathematica