On bases and projections in non-Archimedean Banach spaces.
On Bases And Projections In Non-Archimedean Banach Spacs
On completeness of left-invariant Lorentz metrics on solvable Lie groups.
We study geodesic completeness for left-invariant Lorentz metrics on solvable Lie groups.
On continuous extensions.
On isometries and compact operators between p-adic Banach spaces
On Modular Spaces over a Field with Valuation.
On non-archimedean locally convex spaces
On quadratic and sesquilinear functionals.
On Sazonov Type Topology in p-adic Banach Space.
On the definition of a compactoid
On the -adic spectral analysis and multiwavelet on .
On the structure of compact subsets of ℂₚ
On The Symmetric Quaternionic Banach Algebras, I (Geljfand Theory)
On the topology of compactoid convergence in non-Archimedean spaces
On the ultrametric Stone-Weierstrass theorem and Mahler's expansion
We describe an ultrametric version of the Stone-Weierstrass theorem, without any assumption on the residue field. If is a subset of a rank-one valuation domain , we show that the ring of polynomial functions is dense in the ring of continuous functions from to if and only if the topological closure of in the completion of is compact. We then show how to expand continuous functions in sums of polynomials.
On topological classification of non-archimedean Fréchet spaces
We prove that any infinite-dimensional non-archimedean Fréchet space is homeomorphic to where is a discrete space with . It follows that infinite-dimensional non-archimedean Fréchet spaces and are homeomorphic if and only if . In particular, any infinite-dimensional non-archimedean Fréchet space of countable type over a field is homeomorphic to the non-archimedean Fréchet space .
On weighted inductive limits of non-Archimedean spaces of continuous functions
Si studiano alcune proprietà di un certo limite induttivo di spazi non-archimedei di funzioni continue. In particolare, si esamina la completezza di questo limite induttivo e si indaga il problema di quando lo spazio coincide con il proprio inviluppo proiettivo.
Orthogonal bases in 1∞ (X).
Orthonormal bases for -adic continuous and continuously differentiable functions
Orthonormal bases for spaces of continuous and continuously differentiable 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) (resp. C1(Vq --> K)) is the Banach space of continuous functions (resp. continuously differentiable functions) from Vq to K. Our aim is to find orthonormal bases for C(Vq --> K) and C1(Vq --> K).