AbstractWe consider a special class of non-Archimedean Banach spaces, called Hilbertian, for which every one-dimensional linear subspace has an orthogonal complement. We prove that all immediate extensions of co, contained in l∞, are Hilbertian. In this way we construct examples of Hilbertian spaces over a non-spherically complete valued field without an orthogonal base
AbstractLet K be a spherically complete non-archimedean valued field. We prove that the dual space l...
AbstractNorm Hilbert spaces (NHS) are defined as Banach spaces over valued fields (see 1.4) for whic...
It is proved that any infinite-dimensional non-archimedean metrizable locally convex space has an o...
AbstractWe consider a special class of non-Archimedean Banach spaces, called Hilbertian, for which e...
AbstractLet K be a non-spherically complete non-Archimedean valued field. We prove that there exist ...
AbstractLet K be a non-spherically complete non-Archimedean valued field. We prove that there exist ...
AbstractFor linear subspaces of finite-dimensional normed spaces over K, where K is a non-Archimedea...
AbstractNorm Hilbert spaces (NHS) are defined as Banach spaces over valued fields (see 1.4) for whic...
AbstractThe paper deals with the problem of the existence multi-orthogonal bases in finite-dimension...
SummaryLet K be a complete infinite rank valued field. In [4] we studied Norm Hilbert Spaces (NHS) o...
A normed space E over a rank 1 non-archimedean valued field K has the metric approximation property ...
A normed space E over a rank 1 non-archimedean valued field K has the metric approximation property ...
AbstractLet K be a spherically complete non-archimedean valued field. We prove that the dual space l...
AbstractA new characterization of spherical completeness of non-archimedean valued fields is obtaine...
AbstractThe paper deals with the problem of the existence multi-orthogonal bases in finite-dimension...
AbstractLet K be a spherically complete non-archimedean valued field. We prove that the dual space l...
AbstractNorm Hilbert spaces (NHS) are defined as Banach spaces over valued fields (see 1.4) for whic...
It is proved that any infinite-dimensional non-archimedean metrizable locally convex space has an o...
AbstractWe consider a special class of non-Archimedean Banach spaces, called Hilbertian, for which e...
AbstractLet K be a non-spherically complete non-Archimedean valued field. We prove that there exist ...
AbstractLet K be a non-spherically complete non-Archimedean valued field. We prove that there exist ...
AbstractFor linear subspaces of finite-dimensional normed spaces over K, where K is a non-Archimedea...
AbstractNorm Hilbert spaces (NHS) are defined as Banach spaces over valued fields (see 1.4) for whic...
AbstractThe paper deals with the problem of the existence multi-orthogonal bases in finite-dimension...
SummaryLet K be a complete infinite rank valued field. In [4] we studied Norm Hilbert Spaces (NHS) o...
A normed space E over a rank 1 non-archimedean valued field K has the metric approximation property ...
A normed space E over a rank 1 non-archimedean valued field K has the metric approximation property ...
AbstractLet K be a spherically complete non-archimedean valued field. We prove that the dual space l...
AbstractA new characterization of spherical completeness of non-archimedean valued fields is obtaine...
AbstractThe paper deals with the problem of the existence multi-orthogonal bases in finite-dimension...
AbstractLet K be a spherically complete non-archimedean valued field. We prove that the dual space l...
AbstractNorm Hilbert spaces (NHS) are defined as Banach spaces over valued fields (see 1.4) for whic...
It is proved that any infinite-dimensional non-archimedean metrizable locally convex space has an o...
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