On the existence of continuous modifications of vector-valued random fields.
On the extension of Lipschitz maps with values in a Fréchet space
On the extremal points of the closed unit balls in some abstract spaces
On the Extreme Points and Strongly Extreme Points in Köther-Bochner Spaces
On the ideal structure of algebras of LMC-algebra valued functions
Let X be a completely regular topological space and A a commutative locally m-convex algebra. We give a description of all closed and in particular closed maximal ideals of the algebra C(X,A) (= all continuous A-valued functions defined on X). The topology on C(X,A) is defined by a certain family of seminorms. The compact-open topology of C(X,A) is a special case of this topology.
On the moduli of convexity and smoothness
On the positive absolutely summing operators on the space Lp(μ,X).
On the product property of the Carathéodory pseudodistance
We prove that, for certain domains , continuous product of domains , the Carathéodory pseudodistance satisfies the following product property
On the Rademacher maximal function
This paper studies a new maximal operator introduced by Hytönen, McIntosh and Portal in 2008 for functions taking values in a Banach space. The -boundedness of this operator depends on the range space; certain requirements on type and cotype are present for instance. The original Euclidean definition of the maximal function is generalized to σ-finite measure spaces with filtrations and the -boundedness is shown not to depend on the underlying measure space or the filtration. Martingale techniques...
On the Radon-Nikodym property in locally convex spaces and the completeness of L1ε.
On the relationships between Hp(T,X/Y) and Hp(T,X)/ Hp(T,Y).
On the Riesz-Fischer theorem for vector-valued functions
On the Space C(X,E) with the Topology of Simple Convergence.
On the spectrum of C1b (E).
On the Strict Topology in the Locally Convex Setting.
On the topological reflexivity of the isometry group of the suspension of B(H)
We describe the topological reflexive closure of the isometry group of the suspension of B(H).
On the ultrabornological property of the vector valued bounded function space.
On vector measures which have everywhere infinite variation or noncompact range [Book]
On vector valued measure spaces of bounded -variation containing copies of
Given a Young function , we study the existence of copies of and in and in , the countably additive, -continuous, and -valued measure spaces of bounded -variation and bounded -semivariation, respectively.
On vector-valued Hörmander-Beurling spaces.