Towards a theory of some unbounded linear operators on $p$-adic Hilbert spaces and applications
Annales mathématiques Blaise Pascal, Volume 12 (2005) no. 1, pp. 205-222.

We are concerned with some unbounded linear operators on the so-called $p$-adic Hilbert space ${𝔼}_{\omega }$. Both the Closedness and the self-adjointness of those unbounded linear operators are investigated. As applications, we shall consider the diagonal operator on ${𝔼}_{\omega }$, and the solvability of the equation $Au=v$ where $A$ is a linear operator on ${𝔼}_{\omega }$.

DOI: 10.5802/ambp.203
Toka Diagana 1

1 Howard University Department of Mathematics 2441 6th Street N.W. Washington, D.C. 20059 U.S.A.
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Toka Diagana. Towards a theory of some unbounded linear operators on $p$-adic Hilbert spaces and applications. Annales mathématiques Blaise Pascal, Volume 12 (2005) no. 1, pp. 205-222. doi : 10.5802/ambp.203. https://ambp.centre-mersenne.org/articles/10.5802/ambp.203/

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