Besov spaces on local fields
Best approximants from non-archimedean Stone-Weierstrass subspaces
Bounded operators on non-Archimedian orthomodular spaces
-algebras of operators in non-archimedean Hilbert spaces
We show several examples of n.av̇alued fields with involution. Then, by means of a field of this kind, we introduce “n.aḢilbert spaces” in which the norm comes from a certain hermitian sesquilinear form. We study these spaces and the algebra of bounded operators which are defined on them and have an adjoint. Essential differences with respect to the usual case are observed.
Characteristic matrix functions on Wachs spaces, I. (Livsits definition).
Characteristic operator functions on Wachs spaces.
Characterizations of elements of best approximation in non-Archimedean normed spaces
Coefficients constants d'un produit croulant
Compacidad en V-espacios.
Compactification and compactoidification
Compactoid sets in p-adic locally convex spaces
Compct polynomials on non-Archimedean Banach spaces
Complemented subspaces of -adic second dual Banach spaces.
Convolution of Nörlund methods in non-archimedean fields
Corrigendum to “Spectral analysis for rank one perturbations of diagonal operators in non-archimedean Hilbert space”
Die Lösung des nichtarchimedischen Corona-Problems für beliebige Dimension.
Dimensional compactness in biequivalence vector spaces
The notion of dimensionally compact class in a biequivalence vector space is introduced. Similarly as the notion of compactness with respect to a -equivalence reflects our nonability to grasp any infinite set under sharp distinction of its elements, the notion of dimensional compactness is related to the fact that we are not able to measure out any infinite set of independent parameters. A fairly natural Galois connection between equivalences on an infinite set and classes of set functions ...
Distributional and Operational Integral Homogeneity over Local Fields.
Duals of non-Archimedean Vector-Valued Function Spaces
El dual de espacios de Orlicz sobre cuerpos no arquimedianos.