Nearly ring homomorphisms and nearly ring derivations on non-Archimedean Banach algebras.
Non Archimedean metric induced fuzzy uniform spaces.
Non-archimedean Eberlein-Šmulian theory.
Non-archimedean -spaces.
Non-archimedean induced representations of compact zerodimensional groups
Non-Archimedean K-spaces
We study Banach spaces over a non-spherically complete non-Archimedean valued field K. We prove that a non-Archimedean Banach space over K which contains a linearly homeomorphic copy of (hence itself) is not a K-space. We discuss the three-space problem for a few properties of non-Archimedean Banach spaces.
Non-archimedean monotone functions
Non-Archimedean Nachbin spaces
Non-archimedean nuclearity
Non-Archimedean sequential spaces and the finest locally convex topology with the same compactoid sets.
Non-Archimedean Umbral Calculus
Non-archimedean (uniformly) continuous measures on homogeneous spaces
Non-Archimedean valued quasi-invariant descending at infinity measures.
Non-Standard Analysis And Generalized Functions.
Nonstandard Integration Theory in Topological Vector Lattices.
Normal bases for non-archimedean spaces of continuous functions.
Normal bases for the space of continuous functions defined on a subset of Zp.
Let K be a non-archimedean valued field which contains Qp and suppose that K is complete for the valuation |·|, which extends the p-adic valuation. Vq is the closure of the set {aqn|n = 0,1,2,...} where a and q are two units of Zp, q not a root of unity. C(Vq → K) is the Banach space of continuous functions from Vq to K, equipped with the supremum norm. Our aim is to find normal bases (rn(x)) for C(Vq → K), where rn(x) does not have to be a polynomial.
Normal bases of rings of continuous functions constructed with the (qₙ)-digit principle