Towards a theory of some unbounded linear operators on $p$-adic Hilbert spaces and applications
Annales mathématiques Blaise Pascal, Volume 12 (2005) no. 1, p. 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 ${𝔼}_{\omega }$.

@article{AMBP_2005__12_1_205_0,
author = {Diagana, Toka},
title = {Towards a theory of some unbounded linear operators on $p$-adic Hilbert spaces and applications},
journal = {Annales math\'ematiques Blaise Pascal},
publisher = {Annales math\'ematiques Blaise Pascal},
volume = {12},
number = {1},
year = {2005},
pages = {205-222},
doi = {10.5802/ambp.203},
mrnumber = {2126449},
zbl = {1087.47061},
language = {en},
url = {http://www.numdam.org/item/AMBP_2005__12_1_205_0}
}

Diagana, Toka. 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. http://www.numdam.org/item/AMBP_2005__12_1_205_0/

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