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As far as we are aware the duality between N -compact spaces and a class of Z -rings is new, as is the duality between a certain class of topological abelian groups and a class
In this paper we establish the converse propositions for locally finite Borel measures in Radon spaces, and we deduce that a Radon space X is a strongly Radon space if and only if
We shall also introduce a notion of openness for these generalized mor- phisms and we shall prove that open generalized morphisms of locally compact Hausdorff second countable
(2) Theorem 7(b) for Banach spaces and Γ = X ′ is proved in [9]; the case of complete separable metrizable topological vector spaces and arbitrary Γ is considered in [10] (see also
Applying the frame characterization, we will then obtain some estimates of entropy numbers for the compact embeddings between Besov spaces or between Triebel–Lizorkin spaces and we
In this work we are concerned with the existence of fixed points for a class of monotone operators defined on locally convex spaces.. For generalities about locally convex spaces
We introduce weak compact-friendliness as an extension of compact-friendliness, and and prove that if a non-zero weakly compact-friendly operator B : E → E on a Banach lattice
If we start with any Archimedean vector lattice and, rather than using a topology, use order convergence to define an analogue of topological fullness then we may obtain a result
