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Convolution of Nörlund methods in non-archimedean fields. (English) Zbl 0919.46056

Summary: We obtain a few inclusion theorems for the convolution of Nörlund methods in the form \((N,r_n) \subseteq (N,p_n)* (N,q_n)\) in complete, nontrivially valued, non-archimedean fields.

MSC:

46S10 Functional analysis over fields other than \(\mathbb{R}\) or \(\mathbb{C}\) or the quaternions; non-Archimedean functional analysis
46A45 Sequence spaces (including Köthe sequence spaces)
47B37 Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
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References:

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