Silvermann-Toeplitz theorem for double sequences and series and its application to Nörlund means in non-archimedean fields

This generalizes the M-fields obtained by Moriwaki’s construction in [40, §3] where the function field of an arithmetic variety and a family of nef hermitian line bundles on B

L’accès aux articles de la revue « Annales mathématiques Blaise Pascal » (http://ambp.cedram.org/), implique l’accord avec les conditions générales

Article numérisé dans le cadre du programme Numérisation de documents anciens

In the present paper we obtain a few inclusion theorems for the convolution of Nörlund methods in the form (N, rn) C * (N, qn) in complete, non- trivially valued,

one or several variables with real coefficients. Our main result states that over these fields K every symmetric matrix can be orthogonally diagonalized. We shall

Throughout this paper, K denotes a complete, non-trivially valued, non-archimedean field and infinite matrices and sequences have their entries in K... This

For normed vector spaces with orthonormal Schauder basis (cf. Definition 2.9) we study sufficient conditions for existence of norm direct supplements, orthogonal

Tadic, Unitary representations of the general linear group over the real and complex fields, preprint. [V]