Towards a theory of some unbounded linear operators on p-adic Hilbert spaces and applications
Copyright policy )Towards a theory of some unbounded linear operators on p-adic Hilbert spaces and applications
We are concerned with some unbounded linear operators on the so-called p-adic Hilbert space 𝔼 ω . Both the Closedness and the self-adjointness of those unbounded linear operators are investigated. As applications, we shall consider the diagonal operator on 𝔼 ω , and the solvability of the equation Au=v where A is a linear operator on 𝔼 ω .
Linear symmetric and selfadjoint operators (unbounded), Functional analysis over fields other than \(\mathbb{R}\) or \(\mathbb{C}\) or the quaternions; non-Archimedean functional analysis, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), \(p\)-adic Hilbert space, Operator theory over fields other than \(\mathbb{R}\), \(\mathbb{C}\) or the quaternions; non-Archimedean operator theory, free Banach space
Linear symmetric and selfadjoint operators (unbounded), Functional analysis over fields other than \(\mathbb{R}\) or \(\mathbb{C}\) or the quaternions; non-Archimedean functional analysis, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), \(p\)-adic Hilbert space, Operator theory over fields other than \(\mathbb{R}\), \(\mathbb{C}\) or the quaternions; non-Archimedean operator theory, free Banach space
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