The use of operators for the construction of normal bases for the space of continuous functions on \(V_ q\)

zbMath0814.46070MaRDI QIDQ1340239

Ann Verdoodt

Publication date: 12 June 1995

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/222681

zbMATH Keywords

Banach space of continuous functionsnon-Archimedean valued fieldconstruction of normal bases

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10)

Related Items (3)

The construction of normal bases for the space of continuous functions on \(V_ q\), with the aid of operators ⋮ Non-archimedean umbral calculus ⋮ Orthonormal \(q\)-bases associated to some continuous linear operators on \(\mathcal C(\mathbb Z_p, K)\)

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