A method for constructing orthonormal bases for non-Archimedean Banach spaces of continuous functions

DOI10.5802/AMBP.126zbMath0971.46048OpenAlexW2316255799MaRDI QIDQ1578880

Ann Verdoodt

Publication date: 4 November 2001

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AMBP_2000__7_1_87_0

zbMATH Keywords

local fieldorthonormal basewell distributed sequence

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) Non-Archimedean analysis (26E30)

Cites Work

• Completely continuous endomorphisms of \(p\)-adic Banach spaces
• Normal bases for non-archimedean spaces of continuous functions
• An Interpolation Series for Continuous Functions of a p-adic Variable.
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