[EN] Let (X,d) be a pointed metric space. Let T : X ¿ Y1(µ) and S : X ¿ Y2(µ) be two Lipschitz operators into two Banach function spaces Y1 and Y2 over the same finite measure µ. We show which are the vector norm inequalities ...
Miranda, Anna Maria(Universitat Politècnica de València, 2008-10-01)
[EN] In this note a new class of topological spaces generalizingk-spaces, the pseudo-k-spaces, is introduced and investigated. Particu-lar attention is given to the study of products of such spaces, in analogyto what is ...
Comfort, W.W.; Gotchev, Ivan S.; Recoder-Nuñez, Luis(Universitat Politècnica de València, 2008-10-01)
[EN] Let {Xi : i ∈ I} be a set of sets, XJ :=Пi∈J Xi when Ø ≠ J ⊆ I; Y be a subset of XI , Z be a set, and f : Y → Z. Then f is said to depend on J if p, q ∈ Y , pJ = qJ ⇒ f(p) = f(q); in this case, fJ : πJ [Y ] → Z is ...
Yang, Zhanbo(Universitat Politècnica de València, 2009-04-01)
[EN] We first study subspaces and product spaces in the context of nearness spaces and prove that U-N spaces, C-N spaces, PN spaces and totally bounded nearness spaces are nearness hereditary; T-N spaces and compact nearness ...