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Invariant subspaces of finite codimension in Banach spaces of analytic functions.. On the Beurling–Lax theorem for domains with
For a locally convex space E , Webb constructed in [1] the finest locally convex topology on E having the same convergent sequences as the initial topology and the finest locally
Key words and phrases : Generalized Ces´aro sequence spaces, Luxemburg norm, extreme point, locally uniformly rotund point, property (H), convex
Based on these results, the sufficient conditions are established, under which spaces of free topological semigroups (in the sense of Marxen) and spaces of free topological groups
The first one is an extension of the main result in [6] from finite dimensional spaces to separable Hilbert spaces and from the case of convex functions to uniform regular
The class is described there as, roughly speaking, the smallest class of groups containing both locally compact abelian groups and nuclear topological vector spaces and that is
Moreover, by restricting to the category of sets and partial functions, we rediscover the equivalence between the category of locally compact Hausdorff spaces with continuous and
Even though we intend to consider (locally compact) topological spaces X in general, we need only use lattice or domain theory to study Σ X , since this is just the lattice of
