Holomorphy types for open subsets of a Banach space
Richard Aron (1973)
Studia Mathematica
Similarity:
Richard Aron (1973)
Studia Mathematica
Similarity:
V. Babalola (1974)
Studia Mathematica
Similarity:
Matos, Mário C. (1988)
Portugaliae mathematica
Similarity:
Sean Dineen (1973)
Annales de l'institut Fourier
Similarity:
This article is devoted to a study of locally convex topologies on (where is an open subset of the locally convex topological vector space and is the set of all complex valued holomorphic functions on ). We discuss the following topologies on : (a) the compact open topology , (b) the bornological topology associated with , (c) the ported topology of Nachbin , (d) the bornological topology associated with ; and ...
D. Garling (1968)
Studia Mathematica
Similarity:
José M. Isidro (1990)
Revista Matemática de la Universidad Complutense de Madrid
Similarity:
A class of locally convex vector spaces with a special Schauder decomposition is considered. It is proved that the elements of this class, which includes some spaces naturally appearing in infinite dimensional holomorphy, are quasinormable though in general they are neither metrizable nor Schwartz spaces.
Freire, Nuno C. (1991)
Portugaliae mathematica
Similarity:
Mario C. Matos, Leopoldo Nachbin (1981)
Compositio Mathematica
Similarity:
Paul Sisson (1995)
Studia Mathematica
Similarity:
A rigid space is a topological vector space whose endomorphisms are all simply scalar multiples of the identity map. The first complete rigid space was published in 1981 in [2]. Clearly a rigid space is a trivial-dual space, and admits no compact endomorphisms. In this paper a modification of the original construction results in a rigid space which is, however, the domain space of a compact operator, answering a question that was first raised soon after the existence of complete rigid...