Tauberian operators in p‐adic analysis
Copyright policy )Tauberian operators in p‐adic analysis
In archimedean analysis Tauberian operators and operators having property N were defined by Kalton and Wilansky (1976). We give several characterizations of p‐adic Tauberian operators and operators having property N in terms of basic sequences. And, as its applications, we give some equivalent relations between these operators and p‐adic semi‐Fredholm operators.
- Shizuoka University Japan
basic sequence, Tauberian operators, property N, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), Operator theory over fields other than \(\mathbb{R}\), \(\mathbb{C}\) or the quaternions; non-Archimedean operator theory, Non-archimedean Banach spaces, strongly polar spaces, compactoid subspaces, Functional analysis over fields other than \(\mathbb{R}\) or \(\mathbb{C}\) or the quaternions; non-Archimedean functional analysis, QA1-939, \(p\)-adic Tauberian operators, \(p\)-adic semi-Fredholm operators, (Semi-) Fredholm operators; index theories, Tauberian operators., Mathematics
basic sequence, Tauberian operators, property N, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), Operator theory over fields other than \(\mathbb{R}\), \(\mathbb{C}\) or the quaternions; non-Archimedean operator theory, Non-archimedean Banach spaces, strongly polar spaces, compactoid subspaces, Functional analysis over fields other than \(\mathbb{R}\) or \(\mathbb{C}\) or the quaternions; non-Archimedean functional analysis, QA1-939, \(p\)-adic Tauberian operators, \(p\)-adic semi-Fredholm operators, (Semi-) Fredholm operators; index theories, Tauberian operators., Mathematics
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