On linearly topologized spaces and real-compact spaces
On linearly topologized spaces and real-compact spaces - II
On linearly topologized spaces and -spaces
On Lipschitz mappings between Fréchet spaces
On locally bounded spaces and their products
On locally convex extension of in the unit ball and continuity of the Bergman projection
We define locally convex spaces LW and HW consisting of measurable and holomorphic functions in the unit ball, respectively, with the topology given by a family of weighted-sup seminorms. We prove that the Bergman projection is a continuous map from LW onto HW. These are the smallest spaces having this property. We investigate the topological and algebraic properties of HW.
On locally convex spaces of the type (DF) defined by an arbitrary family of bounded sets
On Locally Convex Spaces Ordered by a Basis.
On locally solid topological lattice groups
Let be a commutative Hausdorff locally solid lattice group. In this paper we prove the following: (1) If has the (iii)-property, then its completion is an order-complete locally solid lattice group. (2) If is order-complete and has the Fatou property, then the order intervals of are -complete. (3) If has the Fatou property, then is order-dense in and has the Fatou property. (4) The order-bound topology on any commutative lattice group is the finest locally solid topology on...
On Mackey topology for groups
The present paper is a contribution to fill in a gap existing between the theory of topological vector spaces and that of topological abelian groups. Topological vector spaces have been extensively studied as part of Functional Analysis. It is natural to expect that some important and elegant theorems about topological vector spaces may have analogous versions for abelian topological groups. The main obstruction to get such versions is probably the lack of the notion of convexity in the framework...
On Malgrange Theorem for Nuclear Holomorphic Functions in Open Balls of a Banach Space.
On Maps which Preserve Equality of Distance in F*-spaces
We prove that every map T between two F*-spaces which preserves equality of distance and satisfies T(0) = 0 is linear.
On matrices having an invariant cone
On matrix transformations concerning the Nakano vector-valued sequence space.
On matrix transformations of some generalized sequence space
On maximizing measures of homeomorphisms on compact manifolds
We prove that given a compact n-dimensional connected Riemannian manifold X and a continuous function g: X → ℝ, there exists a dense subset of the space of homeomorphisms of X such that for all T in this subset, the integral , considered as a function on the space of all T-invariant Borel probability measures μ, attains its maximum on a measure supported on a periodic orbit.
On measures of noncompactness in general topological vector spaces
On meromorphic functions with values in locally convex spaces
On metrizable abelian groups with a completeness-type property
On M-ideals and the Alfsen-Effros structure topology.